Mayan numerals

Present numbers using the Mayan numbering system (displaying the Mayan numerals in a cartouche).

Task

Mayan numbers

Normally, Mayan numbers are written vertically (top─to─bottom) with the most significant numeral at the top (in the sense that decimal numbers are written left─to─right with the most significant digit at the left). This task will be using a left─to─right (horizontal) format, mostly for familiarity and readability, and to conserve screen space (when showing the output) on this task page.

Mayan numerals

Mayan numerals (a base─20 "digit" or glyph) are written in two orientations, this task will be using the "vertical" format (as displayed below). Using the vertical format makes it much easier to draw/construct the Mayan numerals (glyphs) with simple dots (.) and hyphen (-); (however, round bullets (•) and long dashes (─) make a better presentation on Rosetta Code).

Furthermore, each Mayan numeral (for this task) is to be displayed as a cartouche (enclosed in a box) to make it easier to parse (read); the box may be drawn with any suitable (ASCII or Unicode) characters that are presentable/visible in all web browsers.

Mayan numerals added to Unicode

Mayan numerals (glyphs) were added to the Unicode Standard in June of 2018 (this corresponds with version 11.0). But since most web browsers don't support them at this time, this Rosetta Code task will be constructing the glyphs with "simple" characters and/or ASCII art.

The "zero" glyph

The Mayan numbering system has the concept of zero, and should be shown by a glyph that represents an upside─down (sea) shell, or an egg. The Greek letter theta (Θ) can be used (which more─or─less, looks like an egg). A commercial at symbol (@) could make a poor substitute.

Mayan glyphs (constructed)

The Mayan numbering system is a [vigesimal (base 20)] positional numeral system.

The Mayan numerals (and some random numbers) shown in the vertical format would be shown as

      ╔════╗                      ╔════╗                            ╔════╦════╗
      ║    ║                      ║    ║                            ║    ║    ║
      ║    ║                      ║ ∙  ║                            ║    ║    ║
 1──► ║    ║                11──► ║────║                      21──► ║    ║    ║
      ║ ∙  ║                      ║────║                            ║ ∙  ║ ∙  ║
      ╚════╝                      ╚════╝                            ╚════╩════╝
      ╔════╗                      ╔════╗                            ╔════╦════╗
      ║    ║                      ║    ║                            ║    ║    ║
      ║    ║                      ║ ∙∙ ║                            ║    ║    ║
 2──► ║    ║                12──► ║────║                      22──► ║    ║    ║
      ║ ∙∙ ║                      ║────║                            ║ ∙  ║ ∙∙ ║
      ╚════╝                      ╚════╝                            ╚════╩════╝
      ╔════╗                      ╔════╗                            ╔════╦════╗
      ║    ║                      ║    ║                            ║    ║    ║
      ║    ║                      ║∙∙∙ ║                            ║    ║    ║
 3──► ║    ║                13──► ║────║                      40──► ║    ║    ║
      ║∙∙∙ ║                      ║────║                            ║ ∙∙ ║ Θ  ║
      ╚════╝                      ╚════╝                            ╚════╩════╝
      ╔════╗                      ╔════╗                            ╔════╦════╗
      ║    ║                      ║    ║                            ║    ║    ║
      ║    ║                      ║∙∙∙∙║                            ║    ║    ║
 4──► ║    ║                14──► ║────║                      80──► ║    ║    ║
      ║∙∙∙∙║                      ║────║                            ║∙∙∙∙║ Θ  ║
      ╚════╝                      ╚════╝                            ╚════╩════╝
      ╔════╗                      ╔════╗                            ╔════╦════╗
      ║    ║                      ║    ║                            ║    ║    ║
      ║    ║                      ║────║                            ║    ║    ║
 5──► ║    ║                15──► ║────║                      90──► ║    ║────║
      ║────║                      ║────║                            ║∙∙∙∙║────║
      ╚════╝                      ╚════╝                            ╚════╩════╝
      ╔════╗                      ╔════╗                            ╔════╦════╗
      ║    ║                      ║ ∙  ║                            ║    ║    ║
      ║    ║                      ║────║                            ║    ║    ║
 6──► ║ ∙  ║                16──► ║────║                     100──► ║    ║    ║
      ║────║                      ║────║                            ║────║ Θ  ║
      ╚════╝                      ╚════╝                            ╚════╩════╝
      ╔════╗                      ╔════╗                            ╔════╦════╗
      ║    ║                      ║ ∙∙ ║                            ║    ║    ║
      ║    ║                      ║────║                            ║    ║    ║
 7──► ║ ∙∙ ║                17──► ║────║                     200──► ║────║    ║
      ║────║                      ║────║                            ║────║ Θ  ║
      ╚════╝                      ╚════╝                            ╚════╩════╝
      ╔════╗                      ╔════╗                            ╔════╦════╗
      ║    ║                      ║∙∙∙ ║                            ║    ║    ║
      ║    ║                      ║────║                     300──► ║────║    ║
 8──► ║∙∙∙ ║                18──► ║────║                            ║────║    ║
      ║────║                      ║────║                            ║────║ Θ  ║
      ╚════╝                      ╚════╝                            ╚════╩════╝
      ╔════╗                      ╔════╗                            ╔════╦════╦════╗
      ║    ║                      ║∙∙∙∙║                            ║    ║    ║    ║
      ║    ║                      ║────║                     400──► ║    ║    ║    ║
 9──► ║∙∙∙∙║                19──► ║────║                            ║    ║    ║    ║
      ║────║                      ║────║                            ║ ∙  ║ Θ  ║ Θ  ║
      ╚════╝                      ╚════╝                            ╚════╩════╩════╝
      ╔════╗                      ╔════╦════╗                       ╔════╦════╦════╦════╗
      ║    ║                      ║    ║    ║                       ║    ║    ║    ║    ║
      ║    ║                      ║    ║    ║                       ║    ║    ║    ║    ║
10──► ║────║                20──► ║    ║    ║             16,000──► ║    ║    ║    ║    ║
      ║────║                      ║ ∙  ║ Θ  ║                       ║ ∙∙ ║ Θ  ║ Θ  ║ Θ  ║
      ╚════╝                      ╚════╩════╝                       ╚════╩════╩════╩════╝

Note that the Mayan numeral 13 in horizontal format would be shown as:

                                  ╔════╗
                                  ║  ││║
                                  ║ ∙││║
                            13──► ║ ∙││║        ◄─── this glyph form won't be used in this Rosetta Code task.
                                  ║ ∙││║
                                  ╚════╝

Other forms of cartouches (boxes) can be used for this task.

Task requirements

convert the following decimal numbers to Mayan numbers:

4,005
8,017
326,205
886,205

show a unique interesting/pretty/unusual/intriguing/odd/amusing/weird Mayan number
show all output here

Related tasks

Roman numerals/Encode ─── convert numeric values into Roman numerals
Roman numerals/Decode ─── convert Roman numerals into Arabic numbers

See also

The Wikipedia entry: [Mayan numerals]

11l

Translation of: Nim

<lang 11l>-V

  UL = ‘╔’
  UC = ‘╦’
  UR = ‘╗’
  LL = ‘╚’
  LC = ‘╩’
  LR = ‘╝’
  HB = ‘═’
  VB = ‘║’

  Mayan = [‘    ’,
           ‘ ∙  ’,
           ‘ ∙∙ ’,
           ‘∙∙∙ ’,
           ‘∙∙∙∙’]

  M0 = ‘ @  ’
  M5 = ‘────’

F toBase20(=n)

  V result = [n % 20]
  n I/= 20
  L n != 0
     result [+]= n % 20
     n I/= 20
  R reversed(result)

F toMayanNumeral(=d)

  V result = [Mayan[0], Mayan[0], Mayan[0], Mayan[0]]
  I d == 0
     result[3] = :M0
     R result

  L(i) (3..0).step(-1)
     I d >= 5
        result[i] = :M5
        d -= 5
     E
        result[i] = Mayan[d]
        L.break

  R result

F draw(mayans)

  V idx = mayans.len - 1

  print(:UL, end' ‘’)
  L(i) 0 .. idx
     print(:HB * 4, end' ‘’)
     I i < idx
        print(:UC, end' ‘’)
     E
        print(:UR)

  L(i) 1..4
     print(:VB, end' ‘’)
     L(j) 0 .. idx
        print(mayans[j][i - 1]‘’:VB, end' ‘’)
     print()

  print(:LL, end' ‘’)
  L(i) 0 .. idx
     print(:HB * 4, end' ‘’)
     I i < idx
        print(:LC, end' ‘’)
     E
        print(:LR)

L(n) [4005, 8017, 326205, 886205, 1081439556]

  print(‘Converting ’n‘ to Mayan:’)
  V digits = toBase20(n)
  V mayans = digits.map(d -> toMayanNumeral(d))
  draw(mayans)
  print()</lang>

Output:

Converting 4005 to Mayan:
╔════╦════╦════╗
║    ║    ║    ║
║    ║    ║    ║
║────║    ║    ║
║────║ @  ║────║
╚════╩════╩════╝

Converting 8017 to Mayan:
╔════╦════╦════╦════╗
║    ║    ║    ║ ∙∙ ║
║    ║    ║    ║────║
║    ║    ║    ║────║
║ ∙  ║ @  ║ @  ║────║
╚════╩════╩════╩════╝

Converting 326205 to Mayan:
╔════╦════╦════╦════╦════╗
║    ║    ║    ║    ║    ║
║    ║    ║────║    ║    ║
║    ║    ║────║────║    ║
║ ∙∙ ║ @  ║────║────║────║
╚════╩════╩════╩════╩════╝

Converting 886205 to Mayan:
╔════╦════╦════╦════╦════╗
║    ║    ║    ║    ║    ║
║    ║    ║────║    ║    ║
║    ║────║────║────║    ║
║────║────║────║────║────║
╚════╩════╩════╩════╩════╝

Converting 1081439556 to Mayan:
╔════╦════╦════╦════╦════╦════╦════╗
║ ∙  ║ ∙∙ ║∙∙∙ ║∙∙∙∙║∙∙∙ ║ ∙∙ ║ ∙  ║
║────║────║────║────║────║────║────║
║────║────║────║────║────║────║────║
║────║────║────║────║────║────║────║
╚════╩════╩════╩════╩════╩════╩════╝

8080 Assembly

<lang 8080asm>putch: equ 2 puts: equ 9 org 100h lxi h,80h ; Get length of command line input mov a,m cpi 2 rc ; If no input, stop add l mov l,a ; Go to end of numbers mov c,l ; C = end of numbers inx h mvi m,0FFh ; Terminate digit sequence with FFh dcx h sub0: mov a,m cpi 32 ; When space reached, we're at the beginning jz to20 sui '0' ; Subtract '0' from each digit and make sure rc ; they are all valid cpi 10 rnc mov m,a dcx h jmp sub0 to20: mov a,c ; Calculate amount of numbers sui 81h mov c,a to20l: mov e,c ; E = digit counter mvi l,82h ; Start at beginning div2: mov a,m ; Grab digit jnc $+5 ; If carry, add ten adi 10 rar ; Divide by two mov m,a ; Write back inx h dcr e jnz div2 ; Keep going dcx h ; For the last number we want ral ; to keep the carry mov m,a ; This digit is now base-20 dcr c ; One fewer digit left to do jnz to20l mvi l,81h ; Find start and end of numbers start: inx h mov a,m ana a jz start mov b,l ; B = start inr a ; If number is zero, output nothing rz nend: inx h mov a,m inr a jnz nend mov a,l ; A = end sub b mov c,a ; C = amount call edge mvi d,3 ; D=line line: push b ; Save start and amount mov l,b ; HL = first digit mvi h,0 num: call dline ; Print line for digit inx h ; Next digit dcr c jnz num push d ; Save line number lxi d,dn ; Print end of line call print pop d ; Restore variables pop b dcr d jp line ; Print next line edge: push b ; Print edge (top or bottom) edge_l: push b ; Keep counter lxi d,edges call print pop b dcr c jnz edge_l lxi d,edgen call print pop b ret dline: push h ; Print line for digit (D'th from bottom) push d push b mov a,m ora d ; Line and number both 0? jnz $+9 lxi d,dz ; Then print line with @ jmp dnum mov a,d ; 5 * line add a add a add d mov e,a mov a,m ; A -= 5 * line sub e lxi d,d0 ; If <0, empty jm dnum cpi 5 jc $+9 lxi d,d5 ; If >=5, ---- jmp dnum add a ; Otherwise, d[n] mov l,a add a add l mov l,a mvi h,0 dad d xchg dnum: call print pop b pop d pop h ret print: mvi c,puts jmp 5 edges: db '+----$' edgen: db '+',13,10,'$' dz: db '| @ $' d0: db '| $| . $| .. $|... $|....$' d5: db '|----$' dn: db '|',13,10,'$'</lang>

Output:

A>mayan 4005
+----+----+----+
|    |    |    |
|    |    |    |
|----|    |    |
|----| @  |----|
+----+----+----+

A>mayan 8017
+----+----+----+----+
|    |    |    | .. |
|    |    |    |----|
|    |    |    |----|
| .  | @  | @  |----|
+----+----+----+----+

A>mayan 326205
+----+----+----+----+----+
|    |    |    |    |    |
|    |    |----|    |    |
|    |    |----|----|    |
| .. | @  |----|----|----|
+----+----+----+----+----+

A>mayan 886205
+----+----+----+----+----+
|    |    |    |    |    |
|    |    |----|    |    |
|    |----|----|----|    |
|----|----|----|----|----|
+----+----+----+----+----+

A>mayan 18380658207197784
+----+----+----+----+----+----+----+----+----+----+----+----+----+
|    |    |    |....|    |    |    |    |    |....|    |    |    |
|    |    |....|----|....|    |    |    |....|----|....|    |    |
|    |....|----|----|----|....|    |....|----|----|----|....|    |
|....|----|----|----|----|----|....|----|----|----|----|----|....|
+----+----+----+----+----+----+----+----+----+----+----+----+----+

APL

Works with: Dyalog APL

<lang APL>mayan←{

   ds←6 4⍴'     .   .. ... ....────'
   d←{ ⍵=0:4 4⍴¯14↑'Θ'
       ds[1+5⌊0⌈⍵-15 10 5 0;]
   }¨20(⊥⍣¯1)⍵
   top←'╔',(1↓∊(≢d)⍴⊂'╦════'),'╗'
   btm←'╚',(1↓∊(≢d)⍴⊂'╩════'),'╝'
   top⍪((⊃,/'║',¨d),'║')⍪btm

}</lang>

Output:

      mayan 4005
╔════╦════╦════╗
║    ║    ║    ║
║    ║    ║    ║
║────║    ║    ║
║────║ Θ  ║────║
╚════╩════╩════╝
      mayan 8017
╔════╦════╦════╦════╗
║    ║    ║    ║ .. ║
║    ║    ║    ║────║
║    ║    ║    ║────║
║ .  ║ Θ  ║ Θ  ║────║
╚════╩════╩════╩════╝
      mayan 326205
╔════╦════╦════╦════╦════╗
║    ║    ║    ║    ║    ║
║    ║    ║────║    ║    ║
║    ║    ║────║────║    ║
║ .. ║ Θ  ║────║────║────║
╚════╩════╩════╩════╩════╝
      mayan 886205
╔════╦════╦════╦════╦════╗
║    ║    ║    ║    ║    ║
║    ║    ║────║    ║    ║
║    ║────║────║────║    ║
║────║────║────║────║────║
╚════╩════╩════╩════╩════╝
      mayan 717784
╔════╦════╦════╦════╦════╗
║    ║    ║    ║    ║    ║
║    ║    ║....║    ║    ║
║    ║....║────║....║    ║
║....║────║────║────║....║
╚════╩════╩════╩════╩════╝
      mayan 2080000 ⍝ It's not the end of the world
╔════╦════╦════╦════╦════╗
║    ║    ║    ║    ║    ║
║... ║    ║    ║    ║    ║
║────║    ║    ║    ║    ║
║────║ Θ  ║ Θ  ║ Θ  ║ Θ  ║
╚════╩════╩════╩════╩════╝

AppleScript

Applescript supports only small integers (up to (2^29)-1 = 536870911). <lang applescript>use AppleScript version "2.4" use framework "Foundation" use scripting additions

-- MAYAN NUMBERS ------------------------------------------

-- mayanNumber:: Int -> String on mayanNumber(n)

   showIntAtBase(20, my mayanDigit, n, {})

end mayanNumber

-- mayanDigit :: Int -> String on mayanDigit(n)

   if 0 < n then
       set r to n mod 5
       bool({}, {concat(replicate(r, "●"))}, 0 < r) & ¬
           replicate(n div 5, "━━")
   else
       {"Θ"}
   end if

end mayanDigit

-- mayanFrame :: Int -> String on mayanFrame(n)

   "Mayan " & (n as string) & ":\n" & wikiTable({|class|:¬
       "wikitable", colwidth:¬
       "3em", cell:¬
       "vertical-align:bottom;", |style|:¬
       "text-align:center;background-color:#F0EDDE;" & ¬
       "color:#605B4B;border:2px solid silver"})'s ¬
       |λ|({map(intercalateS("
"), mayanNumber(n))}) & "\n"

end mayanFrame

-- TEST ---------------------------------------------------

on run

   set str to unlines(map(mayanFrame, ¬
       {4005, 8017, 326205, 886205, 2978480}))
   
   set the clipboard to (str)
   return str

end run

-- GENERIC ------------------------------------------------

-- Just :: a -> Maybe a on Just(x)

   {type:"Maybe", Nothing:false, Just:x}

end Just

-- Nothing :: Maybe a on Nothing()

   {type:"Maybe", Nothing:true}

end Nothing

-- Tuple (,) :: a -> b -> (a, b) on Tuple(a, b)

   {type:"Tuple", |1|:a, |2|:b, length:2}

end Tuple

-- bool :: a -> a -> Bool -> a on bool(f, t, p)

   if p then
       t
   else
       f
   end if

end bool

-- concat :: a -> [a] -- concat :: [String] -> String on concat(xs)

   set lng to length of xs
   if 0 < lng and string is class of (item 1 of xs) then
       set acc to ""
   else
       set acc to {}
   end if
   repeat with i from 1 to lng
       set acc to acc & item i of xs
   end repeat
   acc

end concat

-- foldl :: (a -> b -> a) -> a -> [b] -> a on foldl(f, startValue, xs)

   tell mReturn(f)
       set v to startValue
       set lng to length of xs
       repeat with i from 1 to lng
           set v to |λ|(v, item i of xs, i, xs)
       end repeat
       return v
   end tell

end foldl

-- intercalateS :: String -> [String] -> String on intercalateS(sep)

   script
       on |λ|(xs)
           set {dlm, my text item delimiters} to {my text item delimiters, sep}
           set s to xs as text
           set my text item delimiters to dlm
           return s
       end |λ|
   end script

end intercalateS

-- lookupDict :: a -> Dict -> Maybe b on lookupDict(k, dct)

   set ca to current application
   set v to (ca's NSDictionary's dictionaryWithDictionary:dct)'s objectForKey:k
   if missing value ≠ v then
       Just(item 1 of ((ca's NSArray's arrayWithObject:v) as list))
   else
       Nothing()
   end if

end lookupDict

-- Lift 2nd class handler function into 1st class script wrapper -- mReturn :: First-class m => (a -> b) -> m (a -> b) on mReturn(f)

   if class of f is script then
       f
   else
       script
           property |λ| : f
       end script
   end if

end mReturn

-- map :: (a -> b) -> [a] -> [b] on map(f, xs)

   tell mReturn(f)
       set lng to length of xs
       set lst to {}
       repeat with i from 1 to lng
           set end of lst to |λ|(item i of xs, i, xs)
       end repeat
       return lst
   end tell

end map

-- | The 'maybe' function takes a default value, a function, and a 'Maybe' -- value. If the 'Maybe' value is 'Nothing', the function returns the -- default value. Otherwise, it applies the function to the value inside -- the 'Just' and returns the result. -- maybe :: b -> (a -> b) -> Maybe a -> b on maybe(v, f, mb)

   if Nothing of mb then
       v
   else
       tell mReturn(f) to |λ|(Just of mb)
   end if

end maybe

-- quotRem :: Int -> Int -> (Int, Int) on quotRem(m, n)

   Tuple(m div n, m mod n)

end quotRem

-- Egyptian multiplication - progressively doubling a list, appending -- stages of doubling to an accumulator where needed for binary -- assembly of a target length -- replicate :: Int -> a -> [a] on replicate(n, a)

   set out to {}
   if n < 1 then return out
   set dbl to {a}
   
   repeat while (n > 1)
       if (n mod 2) > 0 then set out to out & dbl
       set n to (n div 2)
       set dbl to (dbl & dbl)
   end repeat
   return out & dbl

end replicate

-- showIntAtBase :: Int -> (Int -> [String]) -> Int -> String -> String on showIntAtBase(base, toDigit, n, rs)

   script showIt
       property f : mReturn(toDigit)
       on |λ|(nd_, r)
           set {n, d} to ({|1|, |2|} of nd_)
           set r_ to {f's |λ|(d)} & r
           if n > 0 then
               |λ|(quotRem(n, base), r_)
           else
               r_
           end if
       end |λ|
   end script
   showIt's |λ|(quotRem(n, base), rs)

end showIntAtBase

-- unlines :: [String] -> String on unlines(xs)

   set {dlm, my text item delimiters} to ¬
       {my text item delimiters, linefeed}
   set str to xs as text
   set my text item delimiters to dlm
   str

end unlines

-- unwords :: [String] -> String on unwords(xs)

   set {dlm, my text item delimiters} to ¬
       {my text item delimiters, space}
   set s to xs as text
   set my text item delimiters to dlm
   return s

end unwords

-- wikiTable :: Dict -> String -> String on wikiTable(opts)

   script ksv
       on |λ|(k)
           script
               on |λ|(s)
                   script
                       on |λ|(v)
                           k & v & s
                       end |λ|
                   end script
               end |λ|
           end script
       end |λ|
   end script
   script
       on |λ|(rows)
           script boxStyle
               on |λ|(a, k)
                   maybe(a, ksv's |λ|(a & k & "=\"")'s |λ|("\" "), ¬
                       lookupDict(k, opts))
               end |λ|
           end script
           script rowText
               on |λ|(row, iRow)
                   script cellText
                       on |λ|(cell)
                           if 1 = iRow then
                               set w to maybe("", ksv's |λ|("width:")'s |λ|(";"), ¬
                                   lookupDict("colwidth", opts))
                           else
                               set w to ""
                           end if
                           set s to maybe(w, ksv's |λ|(w)'s |λ|(""), ¬
                               lookupDict("cell", opts))
                           if 0 < length of s then
                               "style=\"" & s & "\"|" & cell
                           else
                               cell
                           end if
                       end |λ|
                   end script
                   intercalateS("\n|")'s |λ|(map(cellText, row))
               end |λ|
           end script
           "{| " & unwords(foldl(boxStyle, "", {"class", "style"})) & "\n|" & ¬
               intercalateS("\n|-\n")'s |λ|(map(rowText, rows)) & "\n|}"
       end |λ|
   end script

end wikiTable</lang>

Output:

Mayan 4005:

━━ ━━	Θ	━━

Mayan 8017:

●	Θ	Θ	●● ━━ ━━ ━━

Mayan 326205:

●●	Θ	━━ ━━ ━━	━━ ━━	━━

Mayan 886205:

━━	━━ ━━	━━ ━━ ━━	━━ ━━	━━

Mayan 2978480:

●●● ━━ ━━ ━━	●● ━━ ━━	● ━━	●●●●	Θ

BASIC

<lang BASIC>10 DEFINT A-Z: DIM L$(5) 15 FOR I=0 TO 5: READ L$(I): NEXT I 20 LINE INPUT I$ 30 M=LEN(I$): DIM D(M) 40 FOR I=1 TO M: D(I)=VAL(MID$(I$,I,1)): NEXT I 50 FOR J=M-1 TO 1 STEP -1 60 FOR I=1 TO J 70 D(I+1) = D(I+1) + 10*(D(I) AND 1) 80 D(I) = D(I)\2 90 NEXT I,J 100 S=1 110 IF D(S)=0 AND S<M THEN S=S+1: GOTO 110 120 FOR I=S TO M: PRINT "+----";: NEXT I: PRINT "+" 130 FOR L=3 TO 0 STEP -1 140 FOR I=S TO M 150 IF (D(I) OR L)=0 THEN PRINT "| @ ";: GOTO 180 160 N=D(I)-5*L: IF N>5 THEN N=5 ELSE IF N<0 THEN N=0 170 PRINT "|";L$(N); 180 NEXT I 190 PRINT "|" 200 NEXT L 210 FOR I=S TO M: PRINT "+----";: NEXT I: PRINT "+" 220 END 230 DATA " "," . "," .. ","... ","....","----"</lang>

Output:

run
4005
+----+----+----+
|    |    |    |
|    |    |    |
|----|    |    |
|----| @  |----|
+----+----+----+
Ok
run
8017
+----+----+----+----+
|    |    |    | .. |
|    |    |    |----|
|    |    |    |----|
| .  | @  | @  |----|
+----+----+----+----+
Ok
run
326205
+----+----+----+----+----+
|    |    |    |    |    |
|    |    |----|    |    |
|    |    |----|----|    |
| .. | @  |----|----|----|
+----+----+----+----+----+
Ok
run
886205
+----+----+----+----+----+
|    |    |    |    |    |
|    |    |----|    |    |
|    |----|----|----|    |
|----|----|----|----|----|
+----+----+----+----+----+
Ok
run
18380658207197784
+----+----+----+----+----+----+----+----+----+----+----+----+----+
|    |    |    |....|    |    |    |    |    |....|    |    |    |
|    |    |....|----|....|    |    |    |....|----|....|    |    |
|    |....|----|----|----|....|    |....|----|----|----|....|    |
|....|----|----|----|----|----|....|----|----|----|----|----|....|
+----+----+----+----+----+----+----+----+----+----+----+----+----+
Ok

BCPL

<lang bcpl>get "libhdr"

let reads(v) be $( v%0 := 0

   $(  let ch = rdch()
       if ch = '*N' | ch = endstreamch break
       v%0 := v%0 + 1
       v%(v%0) := ch
   $) repeat

$)

let digits(v) = valof $( for i=1 to v%0

   $(  unless '0' <= v%i <= '9' resultis false
       v%i := v%i - '0'
   $)
   resultis true

$)

let base20(v) be $( let i = ?

   for j=v%0-1 to 1 by -1
       for i=1 to j
       $(  v%(i+1) := v%(i+1) + 10*(v%i & 1)
           v%i := v%i >> 1
       $)
   i := 1
   while v%i=0 & i<v%0 do i := i+1
   for j=i to v%0 do v%(j-i+1) := v%j
   v%0 := v%0-i+1

$)

let mayan(v) be $( let border(n) be

   $(  for i=1 to n do writes("+----")
       writes("+*N")
   $)
   let part(num, line) be
       test num=0 do
           writes(line=0 -> " @  ", "    ")
       or
       $(  num := num - line*5
           writes(num<=0 -> "    ",
                  num =1 -> " .  ",
                  num =2 -> " .. ",
                  num =3 -> "... ",
                  num =4 -> "....",
                            "----")
       $)
   border(v%0)
   for l=3 to 0 by -1
   $(  for d=1 to v%0
       $(  wrch('|')
           part(v%d, l)
       $)
       writes("|*N")
   $)
   border(v%0)

$)

let start() be $( let v = vec 1+255/BYTESPERWORD

   $(  writes("Number? ")
       reads(v)
       if v%0=0 finish
       unless digits(v) loop
       base20(v)
       mayan(v)
   $) repeat

$)</lang>

Output:

Number? 4005
+----+----+----+
|    |    |    |
|    |    |    |
|----|    |    |
|----| @  |----|
+----+----+----+
Number? 8017
+----+----+----+----+
|    |    |    | .. |
|    |    |    |----|
|    |    |    |----|
| .  | @  | @  |----|
+----+----+----+----+
Number? 326205
+----+----+----+----+----+
|    |    |    |    |    |
|    |    |----|    |    |
|    |    |----|----|    |
| .. | @  |----|----|----|
+----+----+----+----+----+
Number? 886205
+----+----+----+----+----+
|    |    |    |    |    |
|    |    |----|    |    |
|    |----|----|----|    |
|----|----|----|----|----|
+----+----+----+----+----+
Number? 114847197784
+----+----+----+----+----+----+----+----+----+
|    |    |    |    |    |....|    |    |    |
|    |    |....|    |....|----|....|    |    |
|    |....|----|....|----|----|----|....|    |
|....|----|----|----|----|----|----|----|....|
+----+----+----+----+----+----+----+----+----+

C

<lang C>#include <stdio.h>

include <string.h>
include <stdint.h>
include <stdlib.h>

define MAX(x,y) ((x) > (y) ? (x) : (y))
define MIN(x,y) ((x) < (y) ? (x) : (y))

/* Find base-20 digits. */ size_t base20(unsigned int n, uint8_t *out) {

   /* generate digits */
   uint8_t *start = out;
   do {*out++ = n % 20;} while (n /= 20);
   size_t length = out - start;
   
   /* put digits in high-endian order */
   while (out > start) {
       uint8_t x = *--out;
       *out = *start;
       *start++ = x;
   }
   return length;

}

/* Write a Mayan digit */ void make_digit(int n, char *place, size_t line_length) {

   static const char *parts[] = {"    "," .  "," .. ","... ","....","----"};
   int i;

   /* write 4-part digit */
   for (i=4; i>0; i--, n -= 5)
       memcpy(place + i*line_length, parts[MAX(0, MIN(5, n))], 4);
       
   /* if digit was 0 we should put '@' in 2nd position of last line */
   if (n == -20) place[4 * line_length + 1] = '@';

}

/* Make a Mayan numeral */ char *mayan(unsigned int n) {

   if (n == 0) return NULL; 
   
   uint8_t digits[15]; /* 2**64 is 15 Mayan digits long */
   size_t n_digits = base20(n, digits);
   
   /* a digit is 4 chars wide, plus N+1 divider lines, plus a newline
      makes for a length of 5*n+2 */
   size_t line_length = n_digits*5 + 2;
   
   /* we need 6 lines - four for the digits, plus top and bottom row */
   char *str = malloc(line_length * 6 + 1);
   if (str == NULL) return NULL;
   str[line_length * 6] = 0;
   
   /* make the cartouche divider lines */
   char *ptr;
   unsigned int i;
   /* top and bottom row */
   for (ptr=str, i=0; i<line_length; i+=5, ptr+=5) 
       memcpy(ptr, "+----", 5);
   memcpy(ptr-5, "+\n", 2);
   memcpy(str+5*line_length, str, line_length);
   /* middle rows */
   for (ptr=str+line_length, i=0; i<line_length; i+=5, ptr+=5)
       memcpy(ptr, "|    ", 5);
   memcpy(ptr-5, "|\n", 2);
   memcpy(str+2*line_length, str+line_length, line_length);
   memcpy(str+3*line_length, str+line_length, 2*line_length);

   /* copy in the digits */
   for (i=0; i<n_digits; i++)
       make_digit(digits[i], str+1+5*i, line_length);

   return str;

}

int main(int argc, char **argv) {

   if (argc != 2) {
       fprintf(stderr, "usage: mayan <number>\n");
       return 1;
   }
   int i = atoi(argv[1]);
   if (i <= 0) {
       fprintf(stderr, "number must be positive\n");
       return 1;
   }
   char *m = mayan(i);
   printf("%s",m);
   free(m);
   return 0;

}</lang>

Output:

$ ./mayan 4005
+----+----+----+
|    |    |    |
|    |    |    |
|----|    |    |
|----| @  |----|
+----+----+----+
$ ./mayan 8017
+----+----+----+----+
|    |    |    | .. |
|    |    |    |----|
|    |    |    |----|
| .  | @  | @  |----|
+----+----+----+----+
$ ./mayan 326205
+----+----+----+----+----+
|    |    |    |    |    |
|    |    |----|    |    |
|    |    |----|----|    |
| .. | @  |----|----|----|
+----+----+----+----+----+
$ ./mayan 886205
+----+----+----+----+----+
|    |    |    |    |    |
|    |    |----|    |    |
|    |----|----|----|    |
|----|----|----|----|----|
+----+----+----+----+----+
$ ./mayan 287959784
+----+----+----+----+----+----+----+
|    |    |....|    |....|    |    |
|    |    |----|....|----|    |    |
|    |....|----|----|----|....|    |
|....|----|----|----|----|----|....|
+----+----+----+----+----+----+----+

Cowgol

<lang cowgol>include "cowgol.coh"; include "argv.coh";

convert number to base 20

sub base20(n: uint32, out: [uint8]): (n_digits: uint8) is

   n_digits := 0;
   loop
       [out] := (n % 20) as uint8;
       n := n / 20;
       out := @next out;
       n_digits := n_digits + 1;
       if n == 0 then break; end if;
   end loop;

end sub;

get the N'th line (from the top) for a Mayan digit

sub digit_line(n: uint8, line: uint8): (s: [uint8]) is

   var parts: [uint8][] := {"    "," .  "," .. ","... ","....","----"};
   if n == 0 then
       if line == 3 then s := " @  ";
       else s := parts[0];
       end if;
   else
       var nn := n - 5*(3-line);
       if nn > 128 then s := parts[0];
       elseif nn > 5 then s := parts[5];
       else s := parts[nn];
       end if;
   end if;

end sub;

print Mayan number

sub print_mayan(n: uint32) is

   sub edge(n: uint8) is
       while n>0 loop
           print("+----");
           n := n-1;
       end loop;
       print_char('+');
       print_nl();
   end sub;
   
   var digits: uint8[8]; # 8 digits is enough for 2**32
   var size := base20(n, &digits[0]);
   
   edge(size);
   var line: uint8 := 0;
   while line < 4 loop 
       var d: uint8 := size-1;
       loop
           print_char('|');
           print(digit_line(digits[d], line));
           if d==0 then break; end if;
           d := d - 1;
       end loop;
       print_char('|');
       print_nl();
       line := line + 1;
   end loop;
   edge(size);

end sub;

sub Error() is

   print("usage: mayan <number>. number must be positive");
   print_nl();
   ExitWithError();

end sub;

read number from command line

ArgvInit(); var arg := ArgvNext(); if arg == 0 as [uint8] then Error(); end if; var n: int32; (n, arg) := AToI(arg); if n <= 0 then Error(); end if; print_mayan(n as uint32);</lang>

Output:

$ ./mayan.386 4005
+----+----+----+
|    |    |    |
|    |    |    |
|----|    |    |
|----| @  |----|
+----+----+----+
$ ./mayan.386 8017
+----+----+----+----+
|    |    |    | .. |
|    |    |    |----|
|    |    |    |----|
| .  | @  | @  |----|
+----+----+----+----+
$ ./mayan.386 326205
+----+----+----+----+----+
|    |    |    |    |    |
|    |    |----|    |    |
|    |    |----|----|    |
| .. | @  |----|----|----|
+----+----+----+----+----+
$ ./mayan.386 886205
+----+----+----+----+----+
|    |    |    |    |    |
|    |    |----|    |    |
|    |----|----|----|    |
|----|----|----|----|----|
+----+----+----+----+----+
$ ./mayan.386 287959784
+----+----+----+----+----+----+----+
|    |    |....|    |....|    |    |
|    |    |----|....|----|    |    |
|    |....|----|----|----|....|    |
|....|----|----|----|----|----|....|
+----+----+----+----+----+----+----+

F#

<lang fsharp> // Mayan numerals. Nigel Galloway: February 19th., 2021 let N=[|"│ ";"│. ";"│.. ";"│... ";"│....";"│~~~~"|] let fN g=(fun(n)->if g=0 && n=0 then "│ Θ " else N.[let g=g-5*n in if g>4 then 5 else if g<0 then 0 else g]) let rec fG n g=match n/20L,n%20L with (0L,0L)->(g,List.length g) |(i,n)->fG i ((fN(int n))::g) let mayan n=let n,g=fG n []

           printf "┌────"; for _ in 2..g do printf "┬────"
           printfn "┐"; for g in 3.. -1 ..0 do n|>List.iter(fun n->printf "%s" (n(g))); printfn "│"
           printf "└────"; for _ in 2..g do printf "┴────"
           printfn "┘"

[4005L;8017L;326205L;886205L]|>List.iter(fun n->printfn "%d" n; mayan n) </lang>

Output:

4005
┌────┬────┬────┐
│    │    │    │
│    │    │    │
│~~~~│    │    │
│~~~~│ Θ  │~~~~│
└────┴────┴────┘
8017
┌────┬────┬────┬────┐
│    │    │    │..  │
│    │    │    │~~~~│
│    │    │    │~~~~│
│.   │ Θ  │ Θ  │~~~~│
└────┴────┴────┴────┘
326205
┌────┬────┬────┬────┬────┐
│    │    │    │    │    │
│    │    │~~~~│    │    │
│    │    │~~~~│~~~~│    │
│..  │ Θ  │~~~~│~~~~│~~~~│
└────┴────┴────┴────┴────┘
886205
┌────┬────┬────┬────┬────┐
│    │    │    │    │    │
│    │    │~~~~│    │    │
│    │~~~~│~~~~│~~~~│    │
│~~~~│~~~~│~~~~│~~~~│~~~~│
└────┴────┴────┴────┴────┘

Factor

<lang factor>USING: arrays formatting io kernel make math math.extras sequences ; IN: rosetta-code.mayan-numerals

mayan-digit ( n -- m pair ) 20 /mod 5 /mod swap 2array ;

integer>mayan ( n -- seq )

   [ [ mayan-digit , ] until-zero ] { } make reverse ;

ones ( n -- str ) [ CHAR: ● ] "" replicate-as ;

fives ( n -- str ) [ "——" ] replicate "
" join ;

numeral ( pair -- str )

   dup sum zero? [ drop "Θ" ]
   [ first2 [ ones ] [ fives ] bi* 2array harvest "
" join ]
   if ;

.table-row ( pair -- )

   "|style=\"width:3em;vertical-align:bottom;\"|" write numeral
   print ;

.table-head ( -- )

   "class=\"wikitable\" style=\"text-align:center;\"" print ;

.table-body ( n -- ) integer>mayan [ .table-row ] each ;

.mayan ( n -- )

   [ "Mayan %d:\n" printf ]
   [ "{|" write .table-head .table-body "|}" print ] bi ;

mayan-numerals ( -- )

   { 4005 8017 326205 886205 } [ .mayan ] each ;

MAIN: mayan-numerals</lang>

Output:

Mayan 4005:

—— ——	Θ	——

Mayan 8017:

●	Θ	Θ	●● —— —— ——

Mayan 326205:

●●	Θ	—— —— ——	—— ——	——

Mayan 886205:

——	—— ——	—— —— ——	—— ——	——

Mayan 194481:

●	●●●●	● ——	●●●●	●

Fōrmulæ

Fōrmulæ programs are not textual, visualization/edition of programs is done showing/manipulating structures but not text. Moreover, there can be multiple visual representations of the same program. Even though it is possible to have textual representation —i.e. XML, JSON— they are intended for storage and transfer purposes more than visualization and edition.

Programs in Fōrmulæ are created/edited online in its website, However they run on execution servers. By default remote servers are used, but they are limited in memory and processing power, since they are intended for demonstration and casual use. A local server can be downloaded and installed, it has no limitations (it runs in your own computer). Because of that, example programs can be fully visualized and edited, but some of them will not run if they require a moderate or heavy computation/memory resources, and no local server is being used.

In this page you can see the program(s) related to this task and their results.

Go

<lang go>package main

import (

   "fmt"
   "strconv"

)

const (

   ul = "╔"
   uc = "╦"
   ur = "╗"
   ll = "╚"
   lc = "╩"
   lr = "╝"
   hb = "═"
   vb = "║"

)

var mayan = [5]string{

   "    ",
   " ∙  ",
   " ∙∙ ",
   "∙∙∙ ",
   "∙∙∙∙",

}

const (

   m0 = " Θ  "
   m5 = "────"

)

func dec2vig(n uint64) []uint64 {

   vig := strconv.FormatUint(n, 20)
   res := make([]uint64, len(vig))
   for i, d := range vig {
       res[i], _ = strconv.ParseUint(string(d), 20, 64)
   }
   return res

}

func vig2quin(n uint64) [4]string {

   if n >= 20 {
       panic("Cant't convert a number >= 20")
   }
   res := [4]string{mayan[0], mayan[0], mayan[0], mayan[0]}
   if n == 0 {
       res[3] = m0
       return res
   }
   fives := n / 5
   rem := n % 5
   res[3-fives] = mayan[rem]
   for i := 3; i > 3-int(fives); i-- {
       res[i] = m5
   }
   return res

}

func draw(mayans [][4]string) {

   lm := len(mayans)
   fmt.Print(ul)
   for i := 0; i < lm; i++ {
       for j := 0; j < 4; j++ {
           fmt.Print(hb)
       }
       if i < lm-1 {
           fmt.Print(uc)
       } else {
           fmt.Println(ur)
       }
   }
   for i := 1; i < 5; i++ {
       fmt.Print(vb)
       for j := 0; j < lm; j++ {
           fmt.Print(mayans[j][i-1])
           fmt.Print(vb)
       }
       fmt.Println()
   }
   fmt.Print(ll)
   for i := 0; i < lm; i++ {
       for j := 0; j < 4; j++ {
           fmt.Print(hb)
       }
       if i < lm-1 {
           fmt.Print(lc)
       } else {
           fmt.Println(lr)
       }
   }

}

func main() {

   numbers := []uint64{4005, 8017, 326205, 886205, 1081439556}
   for _, n := range numbers {
       fmt.Printf("Converting %d to Mayan:\n", n)
       vigs := dec2vig(n)
       lv := len(vigs)
       mayans := make([][4]string, lv)
       for i, vig := range vigs {
           mayans[i] = vig2quin(vig)
       }
       draw(mayans)
       fmt.Println()
   }

}</lang>

Output:

Converting 4005 to Mayan:
╔════╦════╦════╗
║    ║    ║    ║
║    ║    ║    ║
║────║    ║    ║
║────║ Θ  ║────║
╚════╩════╩════╝

Converting 8017 to Mayan:
╔════╦════╦════╦════╗
║    ║    ║    ║ ∙∙ ║
║    ║    ║    ║────║
║    ║    ║    ║────║
║ ∙  ║ Θ  ║ Θ  ║────║
╚════╩════╩════╩════╝

Converting 326205 to Mayan:
╔════╦════╦════╦════╦════╗
║    ║    ║    ║    ║    ║
║    ║    ║────║    ║    ║
║    ║    ║────║────║    ║
║ ∙∙ ║ Θ  ║────║────║────║
╚════╩════╩════╩════╩════╝

Converting 886205 to Mayan:
╔════╦════╦════╦════╦════╗
║    ║    ║    ║    ║    ║
║    ║    ║────║    ║    ║
║    ║────║────║────║    ║
║────║────║────║────║────║
╚════╩════╩════╩════╩════╝

Converting 1081439556 to Mayan:
╔════╦════╦════╦════╦════╦════╦════╗
║ ∙  ║ ∙∙ ║∙∙∙ ║∙∙∙∙║∙∙∙ ║ ∙∙ ║ ∙  ║
║────║────║────║────║────║────║────║
║────║────║────║────║────║────║────║
║────║────║────║────║────║────║────║
╚════╩════╩════╩════╩════╩════╩════╝

Haskell

<lang haskell>import Data.Bool (bool) import Data.List (intercalate, transpose) import qualified Data.Map.Strict as M import Data.Maybe (maybe)

MAIN -------------------------

main :: IO () main =

 (putStrLn . unlines) $
   mayanFramed
     <$> [ 4005,
           8017,
           326205,
           886205,
           1081439556,
           1000000,
           1000000000
         ]

MAYAN NUMBERS ---------------------

mayanGlyph :: Int -> String mayanGlyph =

 filter (any (not . null))
   . transpose
   . leftPadded
   . flip (showIntAtBaseS 20 mayanDigit) []

mayanDigit :: Int -> [String] mayanDigit n

 | 0 /= n =
   replicate (rem n 5) mayaOne :
   concat
     ( replicate (quot n 5) [mayaFive]
     )
 | otherwise = mayaZero

mayanFramed :: Int -> String mayanFramed =

 ("Mayan " <>)
   . ( (<>) <$> show
         <*> ( (":\n\n" <>)
                 . wikiTable
                   ( M.fromList
                       [ ( "style",
                           concat
                             [ "text-align:center;",
                               "background-color:#F0EDDE;",
                               "color:#605B4B;",
                               "border:2px solid silver;"
                             ]
                         ),
                         ("colwidth", "3em;")
                       ]
                   )
                 . mayanGlyph
             )
     )

mayaZero, mayaOne :: Char mayaZero = '\920' mayaOne = '\9679'

mayaFive :: String mayaFive = "\9473\9473"

NUMERIC BASES ---------------------

-- Based on the Prelude showIntAtBase but uses an -- (Int -> [String]) (rather than Int -> Char) function -- as its second argument. -- -- Shows a /non-negative/ 'Integral' number using the base -- specified by the first argument, and the **String** -- representation specified by the second. showIntAtBaseS ::

 Integral a =>
 a ->
 (Int -> [String]) ->
 a ->
 String ->
 String

showIntAtBaseS base toStr n0 r0 =

 let go (n, d) r =
       seq s $
         case n of
           0 -> r_
           _ -> go (quotRem n base) r_
       where
         s = toStr (fromIntegral d)
         r_ = s : r
  in go (quotRem n0 base) r0

DISPLAY ------------------------

wikiTable :: M.Map String String -> String -> String wikiTable opts rows

 | null rows = []
 | otherwise =
   "{| "
     <> foldr
       ( \k a ->
           maybe
             a
             ( ((a <> k <> "=\"") <>)
                 . ( <> "\" "
                   )
             )
             (M.lookup k opts)
       )
       []
       ["class", "style"]
     <> ( '\n' :
          intercalate
            "|-\n"
            ( zipWith renderedRow rows [0 ..]
            )
        )
     <> "|}\n\n"
 where
   renderedRow row i =
     unlines
       ( fmap
           ( ( bool
                 []
                 ( maybe
                     "|"
                     (("|style=\"width:" <>) . (<> "\""))
                     (M.lookup "colwidth" opts)
                 )
                 (0 == i)
                 <>
             )
               . ('|' :)
           )
           row
       )

leftPadded :: String -> String leftPadded xs =

 let w = maximum (length <$> xs)
  in ((<>) =<< flip replicate [] . (-) w . length) <$> xs</lang>

Output:

Mayan 4005:

━━
━━	Θ	━━

Mayan 8017:

			●●
			━━
			━━
●	Θ	Θ	━━

Mayan 326205:

		━━
		━━	━━
●●	Θ	━━	━━	━━

Mayan 886205:

		━━
	━━	━━	━━
━━	━━	━━	━━	━━

Mayan 1081439556:

●	●●	●●●	●●●●	●●●	●●	●
━━	━━	━━	━━	━━	━━	━━
━━	━━	━━	━━	━━	━━	━━
━━	━━	━━	━━	━━	━━	━━

Mayan 1000000:

●
━━	━━	Θ	Θ	Θ

Mayan 1000000000:

━━	●●
━━	━━	━━
━━	━━	━━	Θ	Θ	Θ	Θ

J

J does not support Unicode by default.

<lang J>elems =: 6 4$' . .. ... ....----' digit =: (elems{~5:<.0:>.15 10 5 0-~])`((4 4$_14{.'@')&[)@.(0&=) mayan =: ":@(digit each@(20&#.^:_1))</lang>

Output:

   mayan 4005
+----+----+----+
|    |    |    |
|    |    |    |
|----|    |    |
|----| @  |----|
+----+----+----+
   mayan 8017
+----+----+----+----+
|    |    |    | .. |
|    |    |    |----|
|    |    |    |----|
| .  | @  | @  |----|
+----+----+----+----+
   mayan 326205
+----+----+----+----+----+
|    |    |    |    |    |
|    |    |----|    |    |
|    |    |----|----|    |
| .. | @  |----|----|----|
+----+----+----+----+----+
   mayan 886205
+----+----+----+----+----+
|    |    |    |    |    |
|    |    |----|    |    |
|    |----|----|----|    |
|----|----|----|----|----|
+----+----+----+----+----+
   mayan 717784
+----+----+----+----+----+
|    |    |    |    |    |
|    |    |....|    |    |
|    |....|----|....|    |
|....|----|----|----|....|
+----+----+----+----+----+
   mayan 2080000
+----+----+----+----+----+
|    |    |    |    |    |
|... |    |    |    |    |
|----|    |    |    |    |
|----| @  | @  | @  | @  |
+----+----+----+----+----+
   mayan 12345678987654321
+----+----+----+----+----+----+----+----+----+----+----+----+----+
|    |    |    |    |    |    |    |    |    | .  |    | .  |    |
|    |    |    | .. |... |    |....|    | .. |----|----|----|    |
|    |    |    |----|----|    |----|    |----|----|----|----|    |
|... | @  |----|----|----| .  |----|... |----|----|----|----| .  |
+----+----+----+----+----+----+----+----+----+----+----+----+----+

Java

Unicode characters used. See Character.toChars. <lang java> import java.math.BigInteger;

public class MayanNumerals {

   public static void main(String[] args) {
       for ( long base10 : new long[] {4005, 8017, 326205, 886205, 1000000000, 1081439556L, 26960840421L, 503491211079L }) {
           displayMyan(BigInteger.valueOf(base10));
           System.out.printf("%n");
       }
   }
   
   private static char[] digits = "0123456789ABCDEFGHJK".toCharArray();
   private static BigInteger TWENTY = BigInteger.valueOf(20);
   
   private static void displayMyan(BigInteger numBase10) {
       System.out.printf("As base 10:  %s%n", numBase10);
       String numBase20 = "";
       while ( numBase10.compareTo(BigInteger.ZERO) > 0 ) {
           numBase20 = digits[numBase10.mod(TWENTY).intValue()] + numBase20;
           numBase10 = numBase10.divide(TWENTY);
       }
       System.out.printf("As base 20:  %s%nAs Mayan:%n", numBase20);
       displayMyanLine1(numBase20);
       displayMyanLine2(numBase20);
       displayMyanLine3(numBase20);
       displayMyanLine4(numBase20);
       displayMyanLine5(numBase20);
       displayMyanLine6(numBase20);
   }

   private static char boxUL = Character.toChars(9556)[0];
   private static char boxTeeUp = Character.toChars(9574)[0];
   private static char boxUR = Character.toChars(9559)[0];
   private static char boxHorz = Character.toChars(9552)[0];
   private static char boxVert = Character.toChars(9553)[0];
   private static char theta = Character.toChars(952)[0];
   private static char boxLL = Character.toChars(9562)[0];
   private static char boxLR = Character.toChars(9565)[0];
   private static char boxTeeLow = Character.toChars(9577)[0];
   private static char bullet = Character.toChars(8729)[0];
   private static char dash = Character.toChars(9472)[0];
   
   private static void displayMyanLine1(String base20) {
       char[] chars = base20.toCharArray();
       StringBuilder sb = new StringBuilder();
       for ( int i = 0 ; i < chars.length ; i++ ) {
           if ( i == 0 ) {
               sb.append(boxUL);
           }
           for ( int j = 0 ; j < 4 ; j++ ) {
               sb.append(boxHorz);
           }
           sb.append(i < chars.length-1 ? boxTeeUp : boxUR);
       }
       System.out.println(sb.toString());
   }
   
   private static String getBullet(int count) {
       StringBuilder sb = new StringBuilder();
       switch ( count ) {
       case 1:  sb.append(" " + bullet + "  "); break;
       case 2:  sb.append(" " + bullet + bullet + " "); break;
       case 3:  sb.append("" + bullet + bullet + bullet + " "); break;
       case 4:  sb.append("" + bullet + bullet + bullet + bullet); break;
       default:  throw new IllegalArgumentException("Must be 1-4:  " + count);
       }
       return sb.toString();
   }

   private static void displayMyanLine2(String base20) {
       char[] chars = base20.toCharArray();
       StringBuilder sb = new StringBuilder();
       for ( int i = 0 ; i < chars.length ; i++ ) {
           if ( i == 0 ) {
               sb.append(boxVert);
           }
           switch ( chars[i] ) {
           case 'G':  sb.append(getBullet(1)); break;
           case 'H':  sb.append(getBullet(2)); break;
           case 'J':  sb.append(getBullet(3)); break;
           case 'K':  sb.append(getBullet(4)); break;
           default :  sb.append("    ");
           }
           sb.append(boxVert);
       }
       System.out.println(sb.toString());
   }
   
   private static String DASH = getDash();
   
   private static String getDash() {
       StringBuilder sb = new StringBuilder();
       for ( int i = 0 ; i < 4 ; i++ ) {
           sb.append(dash);
       }
       return sb.toString();
   }

   private static void displayMyanLine3(String base20) {
       char[] chars = base20.toCharArray();
       StringBuilder sb = new StringBuilder();
       for ( int i = 0 ; i < chars.length ; i++ ) {
           if ( i == 0 ) {
               sb.append(boxVert);
           }
           switch ( chars[i] ) {
           case 'B':  sb.append(getBullet(1)); break;
           case 'C':  sb.append(getBullet(2)); break;
           case 'D':  sb.append(getBullet(3)); break;
           case 'E':  sb.append(getBullet(4)); break;
           case 'F': case 'G': case 'H': case 'J': case 'K':
               sb.append(DASH); break;
           default :  sb.append("    ");
           }
           sb.append(boxVert);
       }
       System.out.println(sb.toString());
   }

   private static void displayMyanLine4(String base20) {
       char[] chars = base20.toCharArray();
       StringBuilder sb = new StringBuilder();
       for ( int i = 0 ; i < chars.length ; i++ ) {
           if ( i == 0 ) {
               sb.append(boxVert);
           }
           switch ( chars[i] ) {
           case '6':  sb.append(getBullet(1)); break;
           case '7':  sb.append(getBullet(2)); break;
           case '8':  sb.append(getBullet(3)); break;
           case '9':  sb.append(getBullet(4)); break;
           case 'A': case 'B': case 'C': case 'D': case 'E':
           case 'F': case 'G': case 'H': case 'J': case 'K':
               sb.append(DASH); break;
           default :  sb.append("    ");
           }
           sb.append(boxVert);
       }
       System.out.println(sb.toString());
   }

   private static void displayMyanLine5(String base20) {
       char[] chars = base20.toCharArray();
       StringBuilder sb = new StringBuilder();
       for ( int i = 0 ; i < chars.length ; i++ ) {
           if ( i == 0 ) {
               sb.append(boxVert);
           }
           switch ( chars[i] ) {
           case '0':  sb.append(" " + theta + "  "); break;
           case '1':  sb.append(getBullet(1)); break;
           case '2':  sb.append(getBullet(2)); break;
           case '3':  sb.append(getBullet(3)); break;
           case '4':  sb.append(getBullet(4)); break;
           case '5': case '6': case '7': case '8': case '9': 
           case 'A': case 'B': case 'C': case 'D': case 'E':
           case 'F': case 'G': case 'H': case 'J': case 'K':
               sb.append(DASH); break;
           default :  sb.append("    ");
           }
           sb.append(boxVert);
       }
       System.out.println(sb.toString());
   }

   private static void displayMyanLine6(String base20) {
       char[] chars = base20.toCharArray();
       StringBuilder sb = new StringBuilder();
       for ( int i = 0 ; i < chars.length ; i++ ) {
           if ( i == 0 ) {
               sb.append(boxLL);
           }
           for ( int j = 0 ; j < 4 ; j++ ) {
               sb.append(boxHorz);
           }
           sb.append(i < chars.length-1 ? boxTeeLow : boxLR);
       }
       System.out.println(sb.toString());
   }

} </lang>

Output:

As base 10:  4005
As base 20:  A05
As Mayan:
╔════╦════╦════╗
║    ║    ║    ║
║    ║    ║    ║
║────║    ║    ║
║────║ θ  ║────║
╚════╩════╩════╝

As base 10:  8017
As base 20:  100H
As Mayan:
╔════╦════╦════╦════╗
║    ║    ║    ║ ∙∙ ║
║    ║    ║    ║────║
║    ║    ║    ║────║
║ ∙  ║ θ  ║ θ  ║────║
╚════╩════╩════╩════╝

As base 10:  326205
As base 20:  20FA5
As Mayan:
╔════╦════╦════╦════╦════╗
║    ║    ║    ║    ║    ║
║    ║    ║────║    ║    ║
║    ║    ║────║────║    ║
║ ∙∙ ║ θ  ║────║────║────║
╚════╩════╩════╩════╩════╝

As base 10:  886205
As base 20:  5AFA5
As Mayan:
╔════╦════╦════╦════╦════╗
║    ║    ║    ║    ║    ║
║    ║    ║────║    ║    ║
║    ║────║────║────║    ║
║────║────║────║────║────║
╚════╩════╩════╩════╩════╝

As base 10:  1000000000
As base 20:  FCA0000
As Mayan:
╔════╦════╦════╦════╦════╦════╦════╗
║    ║    ║    ║    ║    ║    ║    ║
║────║ ∙∙ ║    ║    ║    ║    ║    ║
║────║────║────║    ║    ║    ║    ║
║────║────║────║ θ  ║ θ  ║ θ  ║ θ  ║
╚════╩════╩════╩════╩════╩════╩════╝

As base 10:  1081439556
As base 20:  GHJKJHG
As Mayan:
╔════╦════╦════╦════╦════╦════╦════╗
║ ∙  ║ ∙∙ ║∙∙∙ ║∙∙∙∙║∙∙∙ ║ ∙∙ ║ ∙  ║
║────║────║────║────║────║────║────║
║────║────║────║────║────║────║────║
║────║────║────║────║────║────║────║
╚════╩════╩════╩════╩════╩════╩════╝

As base 10:  26960840421
As base 20:  111555111
As Mayan:
╔════╦════╦════╦════╦════╦════╦════╦════╦════╗
║    ║    ║    ║    ║    ║    ║    ║    ║    ║
║    ║    ║    ║    ║    ║    ║    ║    ║    ║
║    ║    ║    ║    ║    ║    ║    ║    ║    ║
║ ∙  ║ ∙  ║ ∙  ║────║────║────║ ∙  ║ ∙  ║ ∙  ║
╚════╩════╩════╩════╩════╩════╩════╩════╩════╝

As base 10:  503491211079
As base 20:  KD71017DK
As Mayan:
╔════╦════╦════╦════╦════╦════╦════╦════╦════╗
║∙∙∙∙║    ║    ║    ║    ║    ║    ║    ║∙∙∙∙║
║────║∙∙∙ ║    ║    ║    ║    ║    ║∙∙∙ ║────║
║────║────║ ∙∙ ║    ║    ║    ║ ∙∙ ║────║────║
║────║────║────║ ∙  ║ θ  ║ ∙  ║────║────║────║
╚════╩════╩════╩════╩════╩════╩════╩════╩════╝

JavaScript

<lang JavaScript>(() => {

   'use strict';

   const main = () =>
       unlines(
           map(mayanFramed,
               [4005, 8017, 326205, 886205, 1081439556, 1000000, 1000000000]
           )
       );

   // MAYAN NUMBERS --------------------------------------

   // mayanFramed :: Int -> String
   const mayanFramed = n =>
       '\nMayan ' + n.toString() + ':\n\n' +
       wikiTable({
           style: 'text-align:center; background-color:#F0EDDE; ' +
           'color:#605B4B; border:2px solid silver',
           colwidth: '3em'
       })(
           mayanGlyph(n)
       );

   // mayanGlyph :: Int -> String
   const mayanGlyph = n =>
       filter(any(compose(not, isNull)),
           transpose(leftPadded(
               showIntAtBase(20, mayanDigit, n, [])
           ))
       );

   // mayanDigit :: Int -> [String]
   const mayanDigit = n =>
       0 !== n ? cons(
           replicateString(rem(n, 5), '●'),
           replicate(quot(n, 5), '━━')
       ) : ['Θ'];

   // FORMATTING -----------------------------------------

   // wikiTable :: Dict -> a -> String
   const wikiTable = opts => rows => {
       const colWidth = () =>
           'colwidth' in opts ? (
               '|style="width:' + opts.colwidth + ';"'
           ) : ;
       return 0 < rows.length ? (
           '{| ' + ['class', 'style'].reduce(
               (a, k) => k in opts ? (
                   a + k + '="' + opts[k] + '" '
               ) : a, 
           ) + '\n' + rows.map(
               (row, i) => row.map(
                   x => (0 === i ? (
                       colWidth() + '| '
                   ) : '|') + (x.toString() || ' ')
               ).join('\n')
           ).join('\n|-\n') + '\n|}\n\n'
       ) : ;
   };

   // leftPadded :: String -> String
   const leftPadded = xs => {
       const w = maximum(map(length, xs));
       return map(
           x => replicate(w - x.length, ).concat(x),
           xs
       );
   };

   // GENERIC FUNCTIONS ----------------------------------

   // Tuple (,) :: a -> b -> (a, b)
   const Tuple = (a, b) => ({
       type: 'Tuple',
       '0': a,
       '1': b,
       length: 2
   });

   // any :: (a -> Bool) -> [a] -> Bool
   const any = p => xs => xs.some(p);

   // comparing :: (a -> b) -> (a -> a -> Ordering)
   const comparing = f =>
       (x, y) => {
           const
               a = f(x),
               b = f(y);
           return a < b ? -1 : (a > b ? 1 : 0);
       };

   // compose (<<<) :: (b -> c) -> (a -> b) -> a -> c
   const compose = (f, g) => x => f(g(x));

   // concatMap :: (a -> [b]) -> [a] -> [b]
   const concatMap = (f, xs) =>
       xs.reduce((a, x) => a.concat(f(x)), []);

   // cons :: a -> [a] -> [a]
   const cons = (x, xs) =>
       Array.isArray(xs) ? (
           [x].concat(xs)
       ) : 'GeneratorFunction' !== xs.constructor.constructor.name ? (
           x + xs
       ) : ( // Existing generator wrapped with one additional element
           function*() {
               yield x;
               let nxt = xs.next()
               while (!nxt.done) {
                   yield nxt.value;
                   nxt = xs.next();
               }
           }
       )();

   // filter :: (a -> Bool) -> [a] -> [a]
   const filter = (f, xs) => xs.filter(f);

   // foldl1 :: (a -> a -> a) -> [a] -> a
   const foldl1 = (f, xs) =>
       1 < xs.length ? xs.slice(1)
       .reduce(f, xs[0]) : xs[0];

   // isNull :: [a] -> Bool
   // isNull :: String -> Bool
   const isNull = xs =>
       Array.isArray(xs) || ('string' === typeof xs) ? (
           1 > xs.length
       ) : undefined;

   // Returns Infinity over objects without finite length.
   // This enables zip and zipWith to choose the shorter
   // argument when one is non-finite, like cycle, repeat etc

   // length :: [a] -> Int
   const length = xs =>
       (Array.isArray(xs) || 'string' === typeof xs) ? (
           xs.length
       ) : Infinity;

   // map :: (a -> b) -> [a] -> [b]
   const map = (f, xs) =>
       (Array.isArray(xs) ? (
           xs
       ) : xs.split()).map(f);

   // maximum :: Ord a => [a] -> a
   const maximum = xs =>
       0 < xs.length ? (
           foldl1((a, x) => x > a ? x : a, xs)
       ) : undefined;

   //  Ordering: (LT|EQ|GT):
   //  GT: 1 (or other positive n)
   //    EQ: 0
   //  LT: -1 (or other negative n)

   // maximumBy :: (a -> a -> Ordering) -> [a] -> a
   const maximumBy = (f, xs) =>
       0 < xs.length ? (
           xs.slice(1)
           .reduce((a, x) => 0 < f(x, a) ? x : a, xs[0])
       ) : undefined;

   // not :: Bool -> Bool
   const not = b => !b;

   // quot :: Int -> Int -> Int
   const quot = (n, m) => Math.floor(n / m);

   // quotRem :: Int -> Int -> (Int, Int)
   const quotRem = (m, n) =>
       Tuple(Math.floor(m / n), m % n);

   // rem :: Int -> Int -> Int
   const rem = (n, m) => n % m;

   // replicate :: Int -> a -> [a]
   const replicate = (n, x) =>
       Array.from({
           length: n
       }, () => x);

   // replicateString :: Int -> String -> String
   const replicateString = (n, s) => s.repeat(n);

   // showIntAtBase :: Int -> (Int -> [String])
   //               -> Int -> String -> String
   const showIntAtBase = (base, toStr, n, rs) => {
       const go = ([n, d], r) => {
           const r_ = cons(toStr(d), r);
           return 0 !== n ? (
               go(Array.from(quotRem(n, base)), r_)
           ) : r_;
       };
       return go(Array.from(quotRem(n, base)), rs);
   };

   // transpose :: a -> a
   const transpose = tbl => {
       const
           gaps = replicate(
               length(maximumBy(comparing(length), tbl)), []
           ),
           rows = map(xs => xs.concat(gaps.slice(xs.length)), tbl);
       return map(
           (_, col) => concatMap(row => [row[col]], rows),
           rows[0]
       );
   };

   // unlines :: [String] -> String
   const unlines = xs => xs.join('\n');

   // MAIN ---
   return main();

})();</lang>

Output:

Mayan 4005:

━━
━━	Θ	━━

Mayan 8017:

			●●
			━━
			━━
●	Θ	Θ	━━

Mayan 326205:

		━━
		━━	━━
●●	Θ	━━	━━	━━

Mayan 886205:

		━━
	━━	━━	━━
━━	━━	━━	━━	━━

Mayan 1081439556:

●	●●	●●●	●●●●	●●●	●●	●
━━	━━	━━	━━	━━	━━	━━
━━	━━	━━	━━	━━	━━	━━
━━	━━	━━	━━	━━	━━	━━

Mayan 1000000:

●
━━	━━	Θ	Θ	Θ

Mayan 1000000000:

━━	●●
━━	━━	━━
━━	━━	━━	Θ	Θ	Θ	Θ

jq

Works with: jq

Works with gojq, the Go implementation of jq

Translation of: Wren

<lang jq>def m: { ul: "╔",

 uc: "╦",
 ur: "╗",
 ll: "╚",
 lc: "╩",
 lr: "╝",
 hb: "═",
 vb: "║",

 m0: " Θ  ",
 m5: "────"

};

def mayan: [

   "    ",
   " ∙  ",
   " ∙∙ ",
   "∙∙∙ ",
   "∙∙∙∙"

];

decimal number to base-20 array, most significant digit first

def dec2vig:

 [recurse(if . > 0 then ./20|floor else empty end) | . % 20]
 | if length > 1 then .[:-1] else . end
 | reverse;

def vig2quin:

 if . >= 20 then "Cannot convert a number >= 20." | error
 else . as $n
 | [mayan[0], mayan[0], mayan[0], mayan[0]]
 | if $n == 0
   then .[3] = m.m0
   else (($n/5)|floor) as $fives
   | ($n % 5) as $rem
   | .[3-$fives] = mayan[$rem]
   | reduce range(3; 3-$fives; -1) as $i (.; .[$i] = m.m5)
   end
 end;

def draw($mayans):

 ($mayans|length) as $lm
 | (reduce range(0; $lm) as $i (m.ul;
      . + m.hb * 4 + if $i < $lm - 1 then m.uc else m.ur + "\n" end ) )
   + (reduce range(1; 5) as $i ("";
        . + m.vb
        + (reduce range(0; $lm) as $j ("";
             . + $mayans[$j][$i-1] + m.vb)) + "\n" ) )
   + (reduce range(0; $lm) as $i (m.ll;
       . + (m.hb * 4) 
         + if ($i < $lm - 1) then m.lc else m.lr + "\n" end ) );

def decimal2mayan:

 "Converting \(.) to Mayan:",
 draw(dec2vig | map( vig2quin ) ),
 "" ;

4005, 8017, 326205, 886205, 1081439556 | decimal2mayan</lang>

Output:

Converting 4005 to Mayan:
╔════╦════╦════╗
║    ║    ║    ║
║    ║    ║    ║
║────║    ║    ║
║────║ Θ  ║────║
╚════╩════╩════╝


Converting 8017 to Mayan:
╔════╦════╦════╦════╗
║    ║    ║    ║ ∙∙ ║
║    ║    ║    ║────║
║    ║    ║    ║────║
║ ∙  ║ Θ  ║ Θ  ║────║
╚════╩════╩════╩════╝


Converting 326205 to Mayan:
╔════╦════╦════╦════╦════╗
║    ║    ║    ║    ║    ║
║    ║    ║────║    ║    ║
║    ║    ║────║────║    ║
║ ∙∙ ║ Θ  ║────║────║────║
╚════╩════╩════╩════╩════╝


Converting 886205 to Mayan:
╔════╦════╦════╦════╦════╗
║    ║    ║    ║    ║    ║
║    ║    ║────║    ║    ║
║    ║────║────║────║    ║
║────║────║────║────║────║
╚════╩════╩════╩════╩════╝


Converting 1081439556 to Mayan:
╔════╦════╦════╦════╦════╦════╦════╗
║ ∙  ║ ∙∙ ║∙∙∙ ║∙∙∙∙║∙∙∙ ║ ∙∙ ║ ∙  ║
║────║────║────║────║────║────║────║
║────║────║────║────║────║────║────║
║────║────║────║────║────║────║────║
╚════╩════╩════╩════╩════╩════╩════╝

Julia

First version, using a style sheet, output to html, with the capability of proper style within the browser.

<lang julia>using Gumbo

mayan_glyphs(x, y) = (x == 0 && y == 0) ? "\nΘ\n" : "\n" * "●" ^ x * "
\n───" ^ y * "\n"

inttomayan(n) = (s = string(n, base=20); map(ch -> reverse(divrem(parse(Int, ch, base=20), 5)), split(s, "")))

function testmayan()

   startstring = """\n

 border: 1px solid DarkOrange;
 border-radius: 13px; 
 border-spacing: 1;
 }

table.roundedcorners td, table.roundedcorners th {

 border: 2px solid DarkOrange;
 border-radius: 13px; 
 border-bottom: 3px solid DarkOrange;
 vertical-align: bottom;
 text-align: center;
 padding: 10px; 
 }

</style> \n"""

   txt = startstring

   for n in [4005, 8017, 326205, 886205, 70913241, 2147483647]

txt *= "

The Mayan representation for the integer $n is:

" * join(map(x -> mayan_glyphs(x[1], x[2]), inttomayan(n))) * "

\n\n"

   end

   println(parsehtml(txt))

end

testmayan() </lang>

Version 2, using local wiki style table formatting: translation of style code from the Raku version.

<lang julia>mayan_glyphs(x, y) = (x == 0 && y == 0) ? "\n| style=$tdconfig | Θ" : "\n| style=$tdconfig | " * "●" ^ x * "
───" ^ y

inttomayan(n) = (s = string(n, base=20); map(ch -> reverse(divrem(parse(Int, ch, base=20), 5)), split(s, "")))

tableconfig = raw""" " border: 1px solid DarkOrange; border-radius: 13px; border-spacing: 1; " """ tdconfig = raw""" "border: 2px solid DarkOrange; border-radius: 13px; border-bottom: 2px solid DarkOrange; vertical-align: bottom; text-align: center; padding: 10px;" """

function testmayan()

   txt = ""
   for n in [4005, 8017, 326205, 886205, 70913241, 2147483647]
       txt *= "\nThe Mayan representation for the integer $n is:\n" *
              "{| style=$tableconfig \n|- " *
              join(map(x -> mayan_glyphs(x[1], x[2]), inttomayan(n))) * "\n|}\n\n"
   end
   println(txt)

end

testmayan() </lang>

Output:

The Mayan representation for the integer 4005 is:

───
───

Θ

───

The Mayan representation for the integer 8017 is:

●

Θ

●●
───
───
───

The Mayan representation for the integer 326205 is:

●●

Θ

───
───
───

───
───

───

The Mayan representation for the integer 886205 is:

───

───
───

───
───
───

───
───

───

The Mayan representation for the integer 70913241 is:

●

●●

●●●

●●●●

●●●

●●

●

The Mayan representation for the integer 2147483647 is:

●

●●●
───
───

●
───
───

●

───
───
───

●●●●
───

●●

●●
───

Mathematica/Wolfram Language

<lang Mathematica>ClearAll[MakeLengthFive, MayanNumeral] MakeLengthFive[ci_String] := Module[{c},

 c = If[EvenQ[StringLength[ci]], ci <> " ", ci];
 While[StringLength[c] < 5, c = " " <> c <> " "];
 c
 ]

MayanNumeral[n_Integer?Positive] := Module[{nums, q, r, c},

 nums = IntegerDigits[n, 20];
 Row[Table[
   {q, r} = QuotientRemainder[m, 5];
   If[{q, r} =!= {0, 0},
    c = Prepend[ConstantArray["-----", q], StringJoin[ConstantArray[".", r]]];
    c = Join[ConstantArray["", 4 - Length[c]], c];
    c
    ,
    c = {"", "", "", "\[Theta]"}
    ];
   Column[MakeLengthFive /@ c, Frame -> True]
   ,
   {m, nums}
   ], Spacer[1]]
 ]

MayanNumeral[4005] MayanNumeral[8017] MayanNumeral[326205] MayanNumeral[886205] MayanNumeral[1337]</lang>

Output:

Outputs a graphical representation of the cartouches.

Nim

Translation of: Go

Free adaptation of the Go version. <lang Nim> import algorithm

type Border = enum UL = "╔", UC = "╦", UR = "╗", LL = "╚", LC = "╩", LR = "╝", HB = "═", VB = "║"

const

 Mayan = ["    ", " ∙  ", " ∙∙ ", "∙∙∙ ", "∙∙∙∙"]

 M0 = " Θ  "
 M5 = "────"

type

 Digit = range[0..19]
 Numeral = array[4, string]
 MayanNumber = seq[Numeral]

func toBase20(n: Natural): seq[Digit] =

 ## Return "n" expressed as a sequence of base 20 digits.
 result.add(n mod 20)
 var n = n div 20
 while n != 0:
   result.add n mod 20
   n = n div 20
 result.reverse()

func toMayanNumeral(d: Digit): Numeral =

 ## Return the Numeral representing a base 20 digits.

 result = [Mayan[0], Mayan[0], Mayan[0], Mayan[0]]
 if d == 0:
   result[3] = M0
   return

 var d = d
 for i in countdown(3, 0):
   if d >= 5:
     result[i] = M5
     dec d, 5
   else:
     result[i] = Mayan[d]
     break

proc draw(mayans: MayanNumber) =

 ## Draw the representation fo a mayan number.

 let idx = mayans.high

 stdout.write UL
 for i in 0..idx:
   for j in 0..3: stdout.write HB
   if i < idx: stdout.write UC else: echo UR

 for i in 1..4:
   stdout.write VB
   for j in 0..idx: stdout.write mayans[j][i-1], VB
   stdout.write '\n'

 stdout.write LL
 for i in 0..idx:
   for j in 0..3: stdout.write HB
   if i < idx: stdout.write LC else: echo LR

when isMainModule:

 import sequtils, strutils

 for n in [4005, 8017, 326205, 886205, 1081439556]:
   echo "Converting $1 to Mayan:".format(n)
   let digits = n.toBase20()
   let mayans = digits.mapIt(it.toMayanNumeral)
   mayans.draw()
   echo ""</lang>

Output:

Converting 4005 to Mayan:
╔════╦════╦════╗
║    ║    ║    ║
║    ║    ║    ║
║────║    ║    ║
║────║ Θ  ║────║
╚════╩════╩════╝

Converting 8017 to Mayan:
╔════╦════╦════╦════╗
║    ║    ║    ║ ∙∙ ║
║    ║    ║    ║────║
║    ║    ║    ║────║
║ ∙  ║ Θ  ║ Θ  ║────║
╚════╩════╩════╩════╝

Converting 326205 to Mayan:
╔════╦════╦════╦════╦════╗
║    ║    ║    ║    ║    ║
║    ║    ║────║    ║    ║
║    ║    ║────║────║    ║
║ ∙∙ ║ Θ  ║────║────║────║
╚════╩════╩════╩════╩════╝

Converting 886205 to Mayan:
╔════╦════╦════╦════╦════╗
║    ║    ║    ║    ║    ║
║    ║    ║────║    ║    ║
║    ║────║────║────║    ║
║────║────║────║────║────║
╚════╩════╩════╩════╩════╝

Converting 1081439556 to Mayan:
╔════╦════╦════╦════╦════╦════╦════╗
║ ∙  ║ ∙∙ ║∙∙∙ ║∙∙∙∙║∙∙∙ ║ ∙∙ ║ ∙  ║
║────║────║────║────║────║────║────║
║────║────║────║────║────║────║────║
║────║────║────║────║────║────║────║
╚════╩════╩════╩════╩════╩════╩════╝

Perl

Translation of: Raku

Library: ntheory

<lang perl>use ntheory qw/fromdigits todigitstring/;

my $t_style = '"border-collapse: separate; text-align: center; border-spacing: 3px 0px;"'; my $c_style = '"border: solid black 2px;background-color: #fffff0;border-bottom: double 6px;'.

 'border-radius: 1em;-moz-border-radius: 1em;-webkit-border-radius: 1em;'.
 'vertical-align: bottom;width: 3.25em;"';

sub cartouches {

   my($num, @digits) = @_;
   my $render;
   for my $d (@digits) {
       $render .= "| style=$c_style | $_\n" for glyphs(@$d);
   }
   chomp $render;
   join "\n", "\{| style=$t_style", "|+ $num", '|-', $render, '|}'

}

sub glyphs {

   return 'Θ' unless $_[0] || $_[1];
   join '
', '●' x $_[0], ('───') x $_[1];

}

sub mmod {

   my($n,$b) = @_;
   my @nb;
   return 0 unless $n;
   push @nb, fromdigits($_, $b) for split , todigitstring($n, $b);
   return @nb;

}

for $n (qw<4005 8017 326205 886205 26960840421>) {

   push @output, cartouches($n, map { [reverse mmod($_,5)] } mmod($n,20) );

}

print join "\n
\n", @output;</lang>

Output:

4005
─── ───	Θ	───

8017
●	Θ	Θ	●● ─── ─── ───

326205
●●	Θ	─── ─── ───	─── ───	───

886205
───	─── ───	─── ─── ───	─── ───	───

26960840421
●	●	●	───	───	───	●	●	●

PL/M

<lang plm>/* MAYAN NUMERALS IN PL/M

  THIS PROGRAM RUNS UNDER CP/M AND TAKES THE NUMBER ON THE COMMAND LINE */

100H: /* CP/M CALLS */ BDOS: PROCEDURE (FN, ARG); DECLARE FN BYTE, ARG ADDRESS; GO TO 5; END BDOS; EXIT: PROCEDURE; CALL BDOS(0,0); END EXIT; PRINT: PROCEDURE (S); DECLARE S ADDRESS; CALL BDOS(9,S); END PRINT;

/* CP/M COMMAND LINE */ DECLARE CL$PTR ADDRESS INITIAL (80H), CMD$LEN BASED CL$PTR BYTE; DECLARE CMD$PTR ADDRESS INITIAL (81H), CMD$LINE BASED CMD$PTR BYTE;

/* THE PIPE AND AT SYMBOLS ARE NOT INCLUDED IN THE PL/M CHARSET */ DECLARE PIPE LITERALLY '7CH', AT LITERALLY '40H';

/* PRINT BORDER FOR N DIGITS */ BORDER: PROCEDURE (N);

   DECLARE (I, N) BYTE;
   DO I=1 TO N;
       CALL PRINT(.'+----$');
   END;
   CALL PRINT(.('+',13,10,'$'));

END BORDER;

/* PRINT LINE FOR GIVEN DIGIT */ DIGIT$LINE: PROCEDURE (LINE, DIGIT);

   DECLARE (I, LINE, DIGIT, UPB) BYTE;
   DECLARE PARTS (6) ADDRESS;
   PARTS(0) = .(PIPE,'    $'); PARTS(1) = .(PIPE,' .  $');
   PARTS(2) = .(PIPE,' .. $'); PARTS(3) = .(PIPE,'... $');
   PARTS(4) = .(PIPE,'....$'); PARTS(5) = .(PIPE,'----$');
   
   IF DIGIT = 0 THEN DO;
       IF LINE = 3 THEN CALL PRINT(.(PIPE,' ',AT,'  $'));
       ELSE CALL PRINT(PARTS(0));
   END;
   ELSE DO;
       UPB = 15-LINE*5;
       IF DIGIT < UPB THEN CALL PRINT(PARTS(0));
       ELSE IF DIGIT >= UPB+5 THEN CALL PRINT(PARTS(5));
       ELSE CALL PRINT(PARTS(DIGIT-UPB));
   END;

END DIGIT$LINE;

/* PRINT LINE GIVEN DIGITS */ LINE: PROCEDURE (L, DIGITS, NDIGITS);

   DECLARE DIGITS ADDRESS;
   DECLARE (L, I, D BASED DIGITS, NDIGITS) BYTE;
   DO I=0 TO NDIGITS-1;
       CALL DIGIT$LINE(L, D(I));
   END;
   CALL PRINT(.(PIPE,13,10,'$'));

END LINE;

/* CHECK FOR ARGUMENT */ IF CMD$LEN < 2 THEN DO;

   CALL PRINT(.'NO INPUT$');
   CALL EXIT;

END;

/* PREPROCESS COMMAND LINE - TURN EACH ASCII DIGIT INTO 0-9 */ DECLARE (I, J) BYTE; DO I = 1 TO CMD$LEN-1;

   CMD$LINE(I) = CMD$LINE(I) - '0';
   IF CMD$LINE(I) > 9 THEN DO;
       /* ERROR MESSAGE FOR INVALID INPUT */
       CALL PRINT(.'INVALID DIGIT IN INPUT$');
       CALL EXIT;
   END;

END;

/* CONVERT TO BASE 20 DIGIT BY DIGIT */ J = CMD$LEN-2; DO WHILE J > 0;

   DO I = 1 TO J;
       CMD$LINE(I+1) = CMD$LINE(I+1) + 10*(CMD$LINE(I) AND 1);
       CMD$LINE(I) = CMD$LINE(I) / 2;
   END;
   J = J - 1;

END;

/* FIND FIRST NONZERO DIGIT */ J = 1; DO WHILE CMD$LINE(J) = 0 AND J < CMD$LEN-1;

   J = J + 1;

END;

/* PRINT CARTOUCHES */ DECLARE SIZE BYTE; SIZE = CMD$LEN-J; CALL BORDER(SIZE); DO I=0 TO 3;

   CALL LINE(I, .CMD$LINE(J), SIZE);

END; CALL BORDER(SIZE);

CALL EXIT; EOF</lang>

Output:

A>MAYAN 4005
+----+----+----+
|    |    |    |
|    |    |    |
|----|    |    |
|----| @  |----|
+----+----+----+

A>MAYAN 8017
+----+----+----+----+
|    |    |    | .. |
|    |    |    |----|
|    |    |    |----|
| .  | @  | @  |----|
+----+----+----+----+

A>MAYAN 326205
+----+----+----+----+----+
|    |    |    |    |    |
|    |    |----|    |    |
|    |    |----|----|    |
| .. | @  |----|----|----|
+----+----+----+----+----+

A>MAYAN 886205
+----+----+----+----+----+
|    |    |    |    |    |
|    |    |----|    |    |
|    |----|----|----|    |
|----|----|----|----|----|
+----+----+----+----+----+

A>MAYAN 18380658207197784
+----+----+----+----+----+----+----+----+----+----+----+----+----+
|    |    |    |....|    |    |    |    |    |....|    |    |    |
|    |    |....|----|....|    |    |    |....|----|....|    |    |
|    |....|----|----|----|....|    |....|----|----|----|....|    |
|....|----|----|----|----|----|....|----|----|----|----|----|....|
+----+----+----+----+----+----+----+----+----+----+----+----+----+

Phix

Translation of: Raku

Three-way output controlled by the first two constants. <lang Phix>-- demo\rosetta\Mayan_numerals.exw constant as_html = true, -- false == nasty ascii

        inline_css = true      -- also uses wiki tables ({| etc) if false

string html = ""

constant t_style = "border-collapse: separate; text-align: center; border-spacing: 3px 0px;",

        c_style = "border: solid black 2px;background-color: #fffff0;border-bottom: double 6px;"&
                  "border-radius: 1em;-moz-border-radius: 1em;-webkit-border-radius: 1em;"&
                  "vertical-align: bottom;width: 3.25em;",
        dot = "●",
        bar = "───",
        zero = "Θ",
        digits = {" 0  "," .  "," .. ","... ","...."}

function to_seq(atom a)

   sequence s = {}
   while true do
       s = prepend(s,remainder(a,20))
       a = floor(a/20)
       if a=0 then exit end if
   end while
   return s

end function

procedure show_mayan(atom a)

   sequence s = to_seq(a)
   if not as_html then
       string tb = join(repeat('+',length(s)+1),"------"),
              ln = join(repeat('|',length(s)+1),"      ")
       sequence res = {tb,ln,ln,ln,ln,tb}
       for i=1 to length(s) do
           integer si = s[i], l = 5, m = i*7-4
           while true do
               res[l][m..m+3] = digits[min(si+1,5)]
               si -= 5
               if si<=0 then exit end if
               l -= 1
           end while
       end for
       printf(1,"%d\n%s\n\n",{a,join(res,"\n")})
   else
       for i=1 to length(s) do
           sequence res = repeat("",4)
           integer si = s[i], l = 4
           while true do
               res[l] = iff(si>=5?bar:iff(si?join(repeat(dot,si),""):zero))
               si -= 5
               if si<=0 then exit end if
               l -= 1
           end while
           s[i] = join(res,"
")
       end for
       if inline_css then

html &= sprintf("

\n \n \n",a) for i=1 to length(s) do html &= sprintf(" \n",{s[i]})

           end for

html &= " \n

%d
%s

\n"

       else
           html &= sprintf("{| style=\"%s\"\n|+ %d\n|-\n",{t_style,a})
           for i=1 to length(s) do
               html &= sprintf("| style=\"%s\" | %s\n",{c_style,s[i]})
           end for
           html &= "|}\n"
       end if
   end if

end procedure

constant html_header = """ <!DOCTYPE html> <html lang="en">

<head>
 <meta charset="utf-8" />
 <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
 <title>Mayan numerals</title>
 <style>
   table {%s}
   td { %s }
 </style>
</head>
<body>

Mayan numerals

""", wiki_header = """ The following is intended to be pasted into the rosettacode wiki, or similar
""", html_footer = """

</body>

</html> """

constant tests = {4005, 8017, 326205, 886205, 26960840421, 126524984376952}

for i=1 to length(tests) do show_mayan(tests[i]) end for

if as_html then

   string filename = "Mayan_numerals.html"
   integer fn = open(filename,"w")
   if inline_css then
       printf(fn,html_header,{t_style,c_style})
   else
       printf(fn,wiki_header)
   end if
   puts(fn,html)
   if inline_css then
       puts(fn,html_footer)
   end if
   close(fn)
   if inline_css then
       system(filename)
   else
       printf(1,"See %s\n",{filename})
       {} = wait_key()
   end if

else

   ?"done"
   {} = wait_key()

end if</lang>

Output:

With inline_css set to false. Note these are always height-4.

4005
─── ───	Θ	───

8017
●	Θ	Θ	●● ─── ─── ───

326205
●●	Θ	─── ─── ───	─── ───	───

886205
───	─── ───	─── ─── ───	─── ───	───

26960840421
●	●	●	───	───	───	●	●	●

126524984376952
●● ─── ───	●● ───	●●	●● ───	●● ─── ───	●● ─── ─── ───	●● ─── ───	●● ───	●●	●● ───	●● ─── ───

Output:

With inline_css set to true. As noted on the Raku entry, this is much neater, but does not display nicely on this page.
(These captions are centred; to exactly match the above just add a simple caption {text-align: left;} in the style section.)

<!DOCTYPE html>
<html lang="en">
 <head>
  <meta charset="utf-8" />
  <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
  <title>Mayan numerals</title>
  <style>
    table {border-collapse: separate; text-align: center; border-spacing: 3px 0px;}
    td { border: solid black 2px;background-color: #fffff0;border-bottom: double 6px;border-radius: 1em;
         -moz-border-radius: 1em;-webkit-border-radius: 1em;vertical-align: bottom;width: 3.25em; }
  </style>
 </head>
 <body>
  <h2>Mayan numerals</h2>
  <table>
   <caption>4005</caption>
   <tr>
    <td><br><br>───<br>───</td>
    <td><br><br><br>Θ</td>
    <td><br><br><br>───</td>
   </tr>
  </table>
  <table>
   <caption>8017</caption>
   <tr>
    <td><br><br><br>●</td>
    <td><br><br><br>Θ</td>
    <td><br><br><br>Θ</td>
    <td>●●<br>───<br>───<br>───</td>
   </tr>
  </table>
  <table>
   <caption>326205</caption>
   <tr>
    <td><br><br><br>●●</td>
    <td><br><br><br>Θ</td>
    <td><br>───<br>───<br>───</td>
    <td><br><br>───<br>───</td>
    <td><br><br><br>───</td>
   </tr>
  </table>
  <table>
   <caption>886205</caption>
   <tr>
    <td><br><br><br>───</td>
    <td><br><br>───<br>───</td>
    <td><br>───<br>───<br>───</td>
    <td><br><br>───<br>───</td>
    <td><br><br><br>───</td>
   </tr>
  </table>
  <table>
   <caption>26960840421</caption>
   <tr>
    <td><br><br><br>●</td>
    <td><br><br><br>●</td>
    <td><br><br><br>●</td>
    <td><br><br><br>───</td>
    <td><br><br><br>───</td>
    <td><br><br><br>───</td>
    <td><br><br><br>●</td>
    <td><br><br><br>●</td>
    <td><br><br><br>●</td>
   </tr>
  </table>
  <table>
   <caption>126524984376952</caption>
   <tr>
    <td><br>●●<br>───<br>───</td>
    <td><br><br>●●<br>───</td>
    <td><br><br><br>●●</td>
    <td><br><br>●●<br>───</td>
    <td><br>●●<br>───<br>───</td>
    <td>●●<br>───<br>───<br>───</td>
    <td><br>●●<br>───<br>───</td>
    <td><br><br>●●<br>───</td>
    <td><br><br><br>●●</td>
    <td><br><br>●●<br>───</td>
    <td><br>●●<br>───<br>───</td>
   </tr>
  </table>
 </body>
</html>

Output:

With output_html set to false.

4005
+------+------+------+
|      |      |      |
|      |      |      |
| .... |      |      |
| .... |  0   | .... |
+------+------+------+

8017
+------+------+------+------+
|      |      |      |  ..  |
|      |      |      | .... |
|      |      |      | .... |
|  .   |  0   |  0   | .... |
+------+------+------+------+

326205
+------+------+------+------+------+
|      |      |      |      |      |
|      |      | .... |      |      |
|      |      | .... | .... |      |
|  ..  |  0   | .... | .... | .... |
+------+------+------+------+------+

886205
+------+------+------+------+------+
|      |      |      |      |      |
|      |      | .... |      |      |
|      | .... | .... | .... |      |
| .... | .... | .... | .... | .... |
+------+------+------+------+------+

26960840421
+------+------+------+------+------+------+------+------+------+
|      |      |      |      |      |      |      |      |      |
|      |      |      |      |      |      |      |      |      |
|      |      |      |      |      |      |      |      |      |
|  .   |  .   |  .   | .... | .... | .... |  .   |  .   |  .   |
+------+------+------+------+------+------+------+------+------+

126524984376952
+------+------+------+------+------+------+------+------+------+------+------+
|      |      |      |      |      |  ..  |      |      |      |      |      |
|  ..  |      |      |      |  ..  | .... |  ..  |      |      |      |  ..  |
| .... |  ..  |      |  ..  | .... | .... | .... |  ..  |      |  ..  | .... |
| .... | .... |  ..  | .... | .... | .... | .... | .... |  ..  | .... | .... |
+------+------+------+------+------+------+------+------+------+------+------+

PureBasic

<lang PureBasic>#START_X=-4 : #START_Y=2 Dim pl$(5) pl$(0)=" Θ " : pl$(1)=" • " : pl$(2)=" •• " pl$(3)="••• " : pl$(4)="••••" : pl$(5)="‒‒‒‒" If OpenConsole() : EnableGraphicalConsole(1) : Else : End 1 : EndIf

Procedure.s Dec2Mayan(wert.i)

 result$=""
 If wert=0 : result$="0;" : EndIf
 While wert : result$=Str(wert%20)+";"+result$ : wert/20 : Wend
 ProcedureReturn result$

EndProcedure

Procedure PutMayan(may$)

 Shared pl$()
 X=#START_X+6 : Y=#START_Y
 For i=1 To CountString(may$,";")
   m=Val(StringField(may$,i,";"))
   yp=Y+4
   If m=0 : ConsoleLocate(X,yp) : Print(pl$(0)) : X+5 : Continue : EndIf
   While m
     If m-5>=0
       ConsoleLocate(X,yp) : Print(pl$(5)) : yp-1 : m-5
     ElseIf m-4>=0
       ConsoleLocate(X,yp) : Print(pl$(4)) : yp-1 : m-4
     ElseIf m-3>=0
       ConsoleLocate(X,yp) : Print(pl$(3)) : yp-1 : m-3
     ElseIf m-2>=0
       ConsoleLocate(X,yp) : Print(pl$(2)) : yp-1 : m-2
     ElseIf m-1>=0
       ConsoleLocate(X,yp) : Print(pl$(1)) : yp-1 : m-1        
     EndIf
   Wend
   X+5
 Next

EndProcedure

Procedure MayanNumerals(may$)

 X=#START_X : Y=#START_Y
 m.i=CountString(may$,";")
 For i=1 To m
   X+5
   ConsoleLocate(X,Y)    : Print("╔════╗")    
   ConsoleLocate(X,Y+1)  : Print("║    ║")
   ConsoleLocate(X,Y+2)  : Print("║    ║")
   ConsoleLocate(X,Y+3)  : Print("║    ║")
   ConsoleLocate(X,Y+4)  : Print("║    ║")
   ConsoleLocate(X,Y+5)  : Print("╚════╝")    
 Next
 X=#START_X
 For i=1 To m
   X+5
   If i<m 
     ConsoleLocate(X+5,Y)   : Print("╦") 
     ConsoleLocate(X+5,Y+5) : Print("╩")
   EndIf    
 Next 
 PutMayan(may$)

EndProcedure

Repeat

 ConsoleLocate(0,0)          : Print(LSet(" ",60))
 ConsoleLocate(0,0)          : Print("MAYAN: ? ") : i$=Input()
 ClearConsole()              : If i$="" : End : EndIf
 j$=Dec2Mayan(Val(i$))       : MayanNumerals(j$)  
 ConsoleLocate(0,#START_Y+7) : Print("Dezimal  = "+i$)
 ConsoleLocate(0,#START_Y+8) : Print("Vigesimal= "+j$)

ForEver</lang>

Output:

MAYAN: ?                                                    
╔════╦════╦════╗
║    ║    ║    ║
║    ║    ║    ║
║‒‒‒‒║    ║    ║
║‒‒‒‒║ Θ  ║‒‒‒‒║
╚════╩════╩════╝

Dezimal  = 4005
Vigesimal= 10;0;5;

MAYAN: ?                                                    
╔════╦════╦════╦════╗
║    ║    ║    ║ •• ║
║    ║    ║    ║‒‒‒‒║
║    ║    ║    ║‒‒‒‒║
║ •  ║ Θ  ║ Θ  ║‒‒‒‒║
╚════╩════╩════╩════╝

Dezimal  = 8017
Vigesimal= 1;0;0;17;

MAYAN: ?                                                    
╔════╦════╦════╦════╦════╗
║    ║    ║    ║    ║    ║
║    ║    ║‒‒‒‒║    ║    ║
║    ║    ║‒‒‒‒║‒‒‒‒║    ║
║ •• ║ Θ  ║‒‒‒‒║‒‒‒‒║‒‒‒‒║
╚════╩════╩════╩════╩════╝

Dezimal  = 326205
Vigesimal= 2;0;15;10;5;

MAYAN: ?                                                    
╔════╦════╦════╦════╦════╗
║    ║    ║    ║    ║    ║
║    ║    ║‒‒‒‒║    ║    ║
║    ║‒‒‒‒║‒‒‒‒║‒‒‒‒║    ║
║‒‒‒‒║‒‒‒‒║‒‒‒‒║‒‒‒‒║‒‒‒‒║
╚════╩════╩════╩════╩════╝

Dezimal  = 886205
Vigesimal= 5;10;15;10;5;

Python

Works with: Python version 3.7

<lang Python>Mayan numerals

from functools import (reduce)

-------------------- MAYAN NUMERALS --------------------

mayanNumerals :: Int -> String

def mayanNumerals(n):

   Rows of Mayan digit cells,
      representing the integer n.
   
   return showIntAtBase(20)(
       mayanDigit
   )(n)([])

mayanDigit :: Int -> [String]

def mayanDigit(n):

   List of strings representing a Mayan digit.
   if 0 < n:
       r = n % 5
       return [
           (['●' * r] if 0 < r else []) +
           (['━━'] * (n // 5))
       ]
   else:
       return ['Θ']

mayanFramed :: Int -> String

def mayanFramed(n):

   Mayan integer in the form of a
      Wiki table source string.
   
   return 'Mayan ' + str(n) + ':\n\n' + (
       wikiTable({
           'class': 'wikitable',
           'style': cssFromDict({
               'text-align': 'center',
               'background-color': '#F0EDDE',
               'color': '#605B4B',
               'border': '2px solid silver'
           }),
           'colwidth': '3em',
           'cell': 'vertical-align: bottom;'
       })([[
           '
'.join(col) for col in mayanNumerals(n)
       ]])
   )

------------------------- TEST -------------------------

main :: IO ()

def main():

   Mayan numeral representations of various integers
   print(
       main.__doc__ + ':\n\n' +
       '\n'.join(mayanFramed(n) for n in [
           4005, 8017, 326205, 886205, 1081439556,
           1000000, 1000000000
       ])
   )

------------------------ BOXES -------------------------

wikiTable :: Dict -> a -> String

def wikiTable(opts):

   Source text for wiki-table display of rows of cells,
      using CSS key-value pairs in the opts dictionary.
   
   def colWidth():
       return 'width:' + opts['colwidth'] + '; ' if (
           'colwidth' in opts
       ) else

   def cellStyle():
       return opts['cell'] if 'cell' in opts else

   return lambda rows: '{| ' + reduce(
       lambda a, k: (
           a + k + '="' + opts[k] + '" ' if (
               k in opts
           ) else a
       ),
       ['class', 'style'],
       
   ) + '\n' + '\n|-\n'.join(
       '\n'.join(
           ('|' if (
               0 != i and ('cell' not in opts)
           ) else (
               '|style="' + colWidth() + cellStyle() + '"|'
           )) + (
               str(x) or ' '
           ) for x in row
       ) for i, row in enumerate(rows)
   ) + '\n|}\n\n'

----------------------- GENERIC ------------------------

cssFromDict :: Dict -> String

def cssFromDict(dct):

   CSS string from a dictinary of key-value pairs
   return reduce(
       lambda a, k: a + k + ':' + dct[k] + '; ',
       dct.keys(),
       
   )

showIntAtBase :: Int -> (Int -> String)
-> Int -> String -> String

def showIntAtBase(base):

   String representation of an integer in a given base,
      using a supplied function for the string
      representation of digits.
   
   def wrap(toChr, n, rs):
       def go(nd, r):
           n, d = nd
           r_ = toChr(d) + r
           return go(divmod(n, base), r_) if 0 != n else r_
       return 'unsupported base' if 1 >= base else (
           'negative number' if 0 > n else (
               go(divmod(n, base), rs))
       )
   return lambda toChr: lambda n: lambda rs: (
       wrap(toChr, n, rs)
   )

MAIN ---

if __name__ == '__main__':

   main()</lang>

Output:

Mayan numeral representations of various integers:

Mayan 4005:

━━ ━━	Θ	━━

Mayan 8017:

●	Θ	Θ	●● ━━ ━━ ━━

Mayan 326205:

●●	Θ	━━ ━━ ━━	━━ ━━	━━

Mayan 886205:

━━	━━ ━━	━━ ━━ ━━	━━ ━━	━━

Mayan 1081439556:

● ━━ ━━ ━━	●● ━━ ━━ ━━	●●● ━━ ━━ ━━	●●●● ━━ ━━ ━━	●●● ━━ ━━ ━━	●● ━━ ━━ ━━	● ━━ ━━ ━━

Mayan 1000000:

● ━━	━━	Θ	Θ	Θ

Mayan 1000000000:

━━ ━━ ━━	●● ━━ ━━	━━ ━━	Θ	Θ	Θ	Θ

Raku

(formerly Perl 6)

Just a matter of converting to base twenty, then divmod 5 each digit and map to the appropriate glyph. Most of this is display code to deal with the cartouche requirement.

I actually spent a little time looking into what exactly a Mayan cartouche was supposed to look like. The classic Mayan cartouche was kind of a rounded rectangle with three little semi-circles underneath. Kind of looks like a picture frame. In general, they were only used when expressing significant "holy" dates in the Mayan calender.

These don't particularly resemble the Mayan cartouche, more like mahjong tiles actually. It would have been so much easier and more compact if I could have put all the styling into a CSS file instead of inlining it, but oh well, it was entertaining to do.

<lang perl6>### Formatting ### my $t-style = '"border-collapse: separate; text-align: center; border-spacing: 3px 0px;"'; my $c-style = '"border: solid black 2px;background-color: #fffff0;border-bottom: double 6px;'~

 'border-radius: 1em;-moz-border-radius: 1em;-webkit-border-radius: 1em;'~
 'vertical-align: bottom;width: 3.25em;"';

my $joiner = '
';

sub display ($num, @digits) { join "\n", "\{| style=$t-style", "|+ $num", '|-', (|@digits.map: {"| style=$c-style | $_"}), '|}' }

1. 1. Logic ###

sub mayan ($int) { $int.polymod(20 xx *).reverse.map: *.polymod(5) }

my @output = <4005 8017 326205 886205 16160025 1081439556 503491211079>.map: {

 display $_, .&mayan.map: { [flat  xx 3, '●' x .[0], '───' xx .[1], ('Θ' if !.[0,1].sum)].tail(4).join: $joiner }

}

say @output.join: "\n$joiner\n"; </lang>

Output:

4005
─── ───	Θ	───

8017
●	Θ	Θ	●● ─── ─── ───

326205
●●	Θ	─── ─── ───	─── ───	───

886205
───	─── ───	─── ─── ───	─── ───	───

16160025
───	●	Θ	Θ	●	───

1081439556
● ─── ─── ───	●● ─── ─── ───	●●● ─── ─── ───	●●●● ─── ─── ───	●●● ─── ─── ───	●● ─── ─── ───	● ─── ─── ───

503491211079
●●●● ─── ─── ───	●●● ─── ───	●● ───	●	Θ	●	●● ───	●●● ─── ───	●●●● ─── ─── ───

Or, plain old text mode. Not as pretty, but still serviceable.

<lang perl6>### Formatting ### use Terminal::Boxer; my $joiner = "\n";

sub display ($num, @digits) { "$num\n" ~ dd-box( :6cw, :4ch, @digits ) }

1. 1. Logic ###

sub mayan ($int) { $int.polymod(20 xx *).reverse.map: *.polymod(5) }

my @output = <4005 8017 326205 886205 16160025 1081439556 503491211079>.map: {

 display $_, .&mayan.map: { [flat  xx 3, '●' x .[0], '────' xx .[1], ('Θ' if !.[0,1].sum)].tail(4).join: $joiner }

}

say @output.join: $joiner;</lang>

Output:

4005
╔══════╦══════╦══════╗
║      ║      ║      ║
║      ║      ║      ║
║ ──── ║      ║      ║
║ ──── ║   Θ  ║ ──── ║
╚══════╩══════╩══════╝

8017
╔══════╦══════╦══════╦══════╗
║      ║      ║      ║  ●●  ║
║      ║      ║      ║ ──── ║
║      ║      ║      ║ ──── ║
║   ●  ║   Θ  ║   Θ  ║ ──── ║
╚══════╩══════╩══════╩══════╝

326205
╔══════╦══════╦══════╦══════╦══════╗
║      ║      ║      ║      ║      ║
║      ║      ║ ──── ║      ║      ║
║      ║      ║ ──── ║ ──── ║      ║
║  ●●  ║   Θ  ║ ──── ║ ──── ║ ──── ║
╚══════╩══════╩══════╩══════╩══════╝

886205
╔══════╦══════╦══════╦══════╦══════╗
║      ║      ║      ║      ║      ║
║      ║      ║ ──── ║      ║      ║
║      ║ ──── ║ ──── ║ ──── ║      ║
║ ──── ║ ──── ║ ──── ║ ──── ║ ──── ║
╚══════╩══════╩══════╩══════╩══════╝

16160025
╔══════╦══════╦══════╦══════╦══════╦══════╗
║      ║      ║      ║      ║      ║      ║
║      ║      ║      ║      ║      ║      ║
║      ║      ║      ║      ║      ║      ║
║ ──── ║   ●  ║   Θ  ║   Θ  ║   ●  ║ ──── ║
╚══════╩══════╩══════╩══════╩══════╩══════╝

1081439556
╔══════╦══════╦══════╦══════╦══════╦══════╦══════╗
║   ●  ║  ●●  ║  ●●● ║ ●●●● ║  ●●● ║  ●●  ║   ●  ║
║ ──── ║ ──── ║ ──── ║ ──── ║ ──── ║ ──── ║ ──── ║
║ ──── ║ ──── ║ ──── ║ ──── ║ ──── ║ ──── ║ ──── ║
║ ──── ║ ──── ║ ──── ║ ──── ║ ──── ║ ──── ║ ──── ║
╚══════╩══════╩══════╩══════╩══════╩══════╩══════╝

503491211079
╔══════╦══════╦══════╦══════╦══════╦══════╦══════╦══════╦══════╗
║ ●●●● ║      ║      ║      ║      ║      ║      ║      ║ ●●●● ║
║ ──── ║  ●●● ║      ║      ║      ║      ║      ║  ●●● ║ ──── ║
║ ──── ║ ──── ║  ●●  ║      ║      ║      ║  ●●  ║ ──── ║ ──── ║
║ ──── ║ ──── ║ ──── ║   ●  ║   Θ  ║   ●  ║ ──── ║ ──── ║ ──── ║
╚══════╩══════╩══════╩══════╩══════╩══════╩══════╩══════╩══════╝

REXX

<lang rexx>/*REXX program converts decimal numbers to the Mayan numbering system (with cartouches).*/ parse arg $ /*obtain optional arguments from the CL*/ if $= then $= 4005 8017 326205 886205, /*Not specified? Then use the default.*/

                172037122592320200101           /*Morse code for MAYAN; egg is a blank.*/

 do j=1  for words($)                           /*convert each of the numbers specified*/
 #= word($, j)                                  /*extract a number from (possible) list*/
 say
 say  center('converting the decimal number '     #     " to a Mayan number:", 90,  '─')
 say
 call $MAYAN   #   '(overlap)'                  /*invoke the  $MAYAN (REXX) subroutine.*/
 say
 end   /*j*/                                    /*stick a fork in it,  we're all done. */</lang>

The $MAYAN.REX (REXX program) subroutine can be seen here ───► Mayan_numerals\$MAYAN.REX.

output when using the default inputs:

─────────────────converting the decimal number  4005  to a Mayan number:──────────────────

╔════╦════╦════╗
║    ║    ║    ║
║    ║    ║    ║
║────║    ║    ║
║────║ Θ  ║────║
╚════╩════╩════╝


─────────────────converting the decimal number  8017  to a Mayan number:──────────────────

╔════╦════╦════╦════╗
║    ║    ║    ║ ∙∙ ║
║    ║    ║    ║────║
║    ║    ║    ║────║
║ ∙  ║ Θ  ║ Θ  ║────║
╚════╩════╩════╩════╝


────────────────converting the decimal number  326205  to a Mayan number:─────────────────

╔════╦════╦════╦════╦════╗
║    ║    ║    ║    ║    ║
║    ║    ║────║    ║    ║
║    ║    ║────║────║    ║
║ ∙∙ ║ Θ  ║────║────║────║
╚════╩════╩════╩════╩════╝


────────────────converting the decimal number  886205  to a Mayan number:─────────────────

╔════╦════╦════╦════╦════╗
║    ║    ║    ║    ║    ║
║    ║    ║────║    ║    ║
║    ║────║────║────║    ║
║────║────║────║────║────║
╚════╩════╩════╩════╩════╝


─────────converting the decimal number  172037122592320200101  to a Mayan number:─────────

╔════╦════╦════╦════╦════╦════╦════╦════╦════╦════╦════╦════╦════╦════╦════╦════╗
║    ║    ║    ║    ║    ║    ║    ║    ║    ║    ║    ║    ║    ║    ║    ║    ║
║    ║    ║    ║    ║    ║    ║    ║    ║    ║    ║    ║    ║    ║    ║    ║    ║
║    ║    ║    ║    ║    ║    ║    ║    ║    ║    ║    ║    ║    ║    ║    ║    ║
║────║────║ Θ  ║ ∙  ║────║ Θ  ║────║ ∙  ║────║────║ Θ  ║ ∙  ║────║ Θ  ║────║ ∙  ║
╚════╩════╩════╩════╩════╩════╩════╩════╩════╩════╩════╩════╩════╩════╩════╩════╝

Rust

<lang rust>const ONE: &str = "●"; const FIVE: &str = "——"; const ZERO: &str = "Θ";

fn main() {

   println!("{}", mayan(4005));
   println!("{}", mayan(8017));
   println!("{}", mayan(326_205));
   println!("{}", mayan(886_205));
   println!("{}", mayan(69));
   println!("{}", mayan(420));
   println!("{}", mayan(1_063_715_456));

}

fn mayan(dec: i64) -> String {

   let mut digits = vec![];
   let mut num = dec;
   while num > 0 {
       digits.push(num % 20);
       num /= 20;
   }
   digits = digits.into_iter().rev().collect();
   let mut boxes = vec!["".to_string(); 6];
   let n = digits.len();
   for (i, digit) in digits.iter().enumerate() {
       if i == 0 {
           boxes[0] = "┏━━━━".to_string();
           if i == n - 1 {
               boxes[0] += "┓";
           }
       } else if i == n - 1 {
           boxes[0] += "┳━━━━┓";
       } else {
           boxes[0] += "┳━━━━";
       }
       for j in 1..5 {
           boxes[j] += "┃";
           let elem = 0.max(digit - (4 - j as i64) * 5);
           if elem >= 5 {
               boxes[j] += &format!("{: ^4}", FIVE);
           } else if elem > 0 {
               boxes[j] += &format!("{: ^4}", ONE.repeat(elem as usize % 15));
           } else if j == 4 {
               boxes[j] += &format!("{: ^4}", ZERO);
           } else {
               boxes[j] += &"    ";
           }
           if i == n - 1 {
               boxes[j] += "┃";
           }
       }
       if i == 0 {
           boxes[5] = "┗━━━━".to_string();
           if i == n - 1 {
               boxes[5] += "┛";
           }
       } else if i == n - 1 {
           boxes[5] += "┻━━━━┛";
       } else {
           boxes[5] += "┻━━━━";
       }
   }

   let mut mayan = format!("Mayan {}:\n", dec);
   for b in boxes {
       mayan += &(b + "\n");
   }
   mayan

}</lang>

Output:

Mayan 4005:
┏━━━━┳━━━━┳━━━━┓
┃    ┃    ┃    ┃
┃    ┃    ┃    ┃
┃ —— ┃    ┃    ┃
┃ —— ┃ Θ  ┃ —— ┃
┗━━━━┻━━━━┻━━━━┛

Mayan 8017:
┏━━━━┳━━━━┳━━━━┳━━━━┓
┃    ┃    ┃    ┃ ●● ┃
┃    ┃    ┃    ┃ —— ┃
┃    ┃    ┃    ┃ —— ┃
┃ ●  ┃ Θ  ┃ Θ  ┃ —— ┃
┗━━━━┻━━━━┻━━━━┻━━━━┛

Mayan 326205:
┏━━━━┳━━━━┳━━━━┳━━━━┳━━━━┓
┃    ┃    ┃    ┃    ┃    ┃
┃    ┃    ┃ —— ┃    ┃    ┃
┃    ┃    ┃ —— ┃ —— ┃    ┃
┃ ●● ┃ Θ  ┃ —— ┃ —— ┃ —— ┃
┗━━━━┻━━━━┻━━━━┻━━━━┻━━━━┛

Mayan 886205:
┏━━━━┳━━━━┳━━━━┳━━━━┳━━━━┓
┃    ┃    ┃    ┃    ┃    ┃
┃    ┃    ┃ —— ┃    ┃    ┃
┃    ┃ —— ┃ —— ┃ —— ┃    ┃
┃ —— ┃ —— ┃ —— ┃ —— ┃ —— ┃
┗━━━━┻━━━━┻━━━━┻━━━━┻━━━━┛

Mayan 69:
┏━━━━┳━━━━┓
┃    ┃    ┃
┃    ┃    ┃
┃    ┃●●●●┃
┃●●● ┃ —— ┃
┗━━━━┻━━━━┛

Mayan 420:
┏━━━━┳━━━━┳━━━━┓
┃    ┃    ┃    ┃
┃    ┃    ┃    ┃
┃    ┃    ┃    ┃
┃ ●  ┃ ●  ┃ Θ  ┃
┗━━━━┻━━━━┻━━━━┛

Mayan 1063715456:
┏━━━━┳━━━━┳━━━━┳━━━━┳━━━━┳━━━━┳━━━━┓
┃ ●  ┃    ┃    ┃    ┃    ┃    ┃ ●  ┃
┃ —— ┃ ●● ┃    ┃    ┃    ┃ ●● ┃ —— ┃
┃ —— ┃ —— ┃●●● ┃    ┃●●● ┃ —— ┃ —— ┃
┃ —— ┃ —— ┃ —— ┃●●●●┃ —— ┃ —— ┃ —— ┃
┗━━━━┻━━━━┻━━━━┻━━━━┻━━━━┻━━━━┻━━━━┛

Wren

Translation of: Go

Library: Wren-fmt

<lang ecmascript>import "/fmt" for Conv

var ul = "╔" var uc = "╦" var ur = "╗" var ll = "╚" var lc = "╩" var lr = "╝" var hb = "═" var vb = "║"

var mayan= [

   "    ",
   " ∙  ",
   " ∙∙ ",
   "∙∙∙ ",
   "∙∙∙∙"

]

var m0 = " Θ " var m5 = "────"

var dec2vig = Fn.new { |n| Conv.itoa(n, 20).map { |c| Conv.atoi(c, 20) }.toList }

var vig2quin = Fn.new { |n|

   if (n >= 20) Fiber.abort("Cant't convert a number >= 20.")
   var res = [mayan[0], mayan[0], mayan[0], mayan[0]]
   if (n == 0) {
       res[3] = m0
       return res
   }
   var fives = (n/5).floor
   var rem = n % 5
   res[3-fives] = mayan[rem]
   for (i in 3...3-fives) res[i] = m5
   return res

}

var draw = Fn.new { |mayans|

   var lm = mayans.count
   System.write(ul)
   for (i in 0...lm) {
       for (j in 0..3) System.write(hb)
       if (i < lm - 1) {
           System.write(uc)
       } else {
           System.print(ur)
       }
   }
   for (i in 1..4) {
       System.write(vb)
       for (j in 0...lm) {
           System.write(mayans[j][i-1])
           System.write(vb)
       }
       System.print()
   }
   System.write(ll)
   for (i in 0...lm) {
       for (j in 0..3) System.write(hb)
       if (i < lm - 1) {
           System.write(lc)
       } else {
           System.print(lr)
       }
   }

}

var numbers = [4005, 8017, 326205, 886205, 1081439556] for (n in numbers) {

   System.print("Converting %(n) to Mayan:")
   var vigs = dec2vig.call(n)
   var mayans = vigs.map { |vig| vig2quin.call(vig) }.toList
   draw.call(mayans)
   System.print()

}</lang>

Output:

Converting 4005 to Mayan:
╔════╦════╦════╗
║    ║    ║    ║
║    ║    ║    ║
║────║    ║    ║
║────║ Θ  ║────║
╚════╩════╩════╝

Converting 8017 to Mayan:
╔════╦════╦════╦════╗
║    ║    ║    ║ ∙∙ ║
║    ║    ║    ║────║
║    ║    ║    ║────║
║ ∙  ║ Θ  ║ Θ  ║────║
╚════╩════╩════╩════╝

Converting 326205 to Mayan:
╔════╦════╦════╦════╦════╗
║    ║    ║    ║    ║    ║
║    ║    ║────║    ║    ║
║    ║    ║────║────║    ║
║ ∙∙ ║ Θ  ║────║────║────║
╚════╩════╩════╩════╩════╝

Converting 886205 to Mayan:
╔════╦════╦════╦════╦════╗
║    ║    ║    ║    ║    ║
║    ║    ║────║    ║    ║
║    ║────║────║────║    ║
║────║────║────║────║────║
╚════╩════╩════╩════╩════╝

Converting 1081439556 to Mayan:
╔════╦════╦════╦════╦════╦════╦════╗
║ ∙  ║ ∙∙ ║∙∙∙ ║∙∙∙∙║∙∙∙ ║ ∙∙ ║ ∙  ║
║────║────║────║────║────║────║────║
║────║────║────║────║────║────║────║
║────║────║────║────║────║────║────║
╚════╩════╩════╩════╩════╩════╩════╝

zkl

<lang zkl>var zero=" \u0398 ",one="\u2219", five=String("\u2500"*4,"\n"), fill=" \n"; var ds=T(" "," \u2219 "," \u2219\u2219 ","\u2219\u2219\u2219 ","\u2219\u2219\u2219\u2219"); fcn mayan(m){ //--> lists of lists of strings (each line of tile)

  m.toString(20).pump(List,fcn(m){		// 4,005 --> "a05"
     bars,dots := m.toInt(20).divr(5);		// "a" --> 10 --> (2,0)
     if(0==bars==dots) return(String(fill*3, zero).split("\n"));  // 0
     String(fill*(3-bars), ds[dots],"\n", five*bars)[0,-1].split("\n") // tile
  })

}</lang> <lang zkl>var vbar="\u2551", hbar="\u2550"*4, ut=(hbar+"\u2566"), bt=(hbar+"\u2569"); fcn displayMayan(m){ // eg 11 is ( ( ),( * ),(----),(----) )

  println("\u2554", ut*(m.len()-1), hbar,"\u2557");  // top
  foreach n in (4){ println(vbar, m.apply("get",n).concat(vbar), vbar) }
  println("\u255a", bt*(m.len()-1), hbar,"\u255d");  // bottom

}</lang> <lang zkl>foreach m in (T(4_005, 8_017, 326_205, 886_205, 503_491_211_079, 88_637_341)){

  println("\n%,d:".fmt(m)); mayan(m):displayMayan(_);

}</lang>

Output:

4,005:
╔════╦════╦════╗
║    ║    ║    ║
║    ║    ║    ║
║────║    ║    ║
║────║ Θ  ║────║
╚════╩════╩════╝

8,017:
╔════╦════╦════╦════╗
║    ║    ║    ║ ∙∙ ║
║    ║    ║    ║────║
║    ║    ║    ║────║
║ ∙  ║ Θ  ║ Θ  ║────║
╚════╩════╩════╩════╝

326,205:
╔════╦════╦════╦════╦════╗
║    ║    ║    ║    ║    ║
║    ║    ║────║    ║    ║
║    ║    ║────║────║    ║
║ ∙∙ ║ Θ  ║────║────║────║
╚════╩════╩════╩════╩════╝

886,205:
╔════╦════╦════╦════╦════╗
║    ║    ║    ║    ║    ║
║    ║    ║────║    ║    ║
║    ║────║────║────║    ║
║────║────║────║────║────║
╚════╩════╩════╩════╩════╝

503,491,211,079:
╔════╦════╦════╦════╦════╦════╦════╦════╦════╗
║∙∙∙∙║    ║    ║    ║    ║    ║    ║    ║∙∙∙∙║
║────║∙∙∙ ║    ║    ║    ║    ║    ║∙∙∙ ║────║
║────║────║ ∙∙ ║    ║    ║    ║ ∙∙ ║────║────║
║────║────║────║ ∙  ║ Θ  ║ ∙  ║────║────║────║
╚════╩════╩════╩════╩════╩════╩════╩════╩════╝

88,637,341:
╔════╦════╦════╦════╦════╦════╦════╗
║    ║    ║    ║∙∙∙∙║    ║    ║    ║
║    ║    ║∙∙∙ ║────║∙∙∙ ║    ║    ║
║    ║ ∙∙ ║────║────║────║ ∙∙ ║    ║
║ ∙  ║────║────║────║────║────║ ∙  ║
╚════╩════╩════╩════╩════╩════╩════╝

The Raku numerals look so good, let's copy them.

Translation of: Raku

<lang zkl>var [const]

 t_style=0"border-collapse: separate; text-align: center; border-spacing: 3px 0px;"',
 c_style=0"border: solid black 2px;background-color: #fffff0;border-bottom: double 6px;'
   0border-radius: 1em;-moz-border-radius: 1em;-webkit-border-radius: 1em;'
   0vertical-align: bottom;width: 3.25em;"';

var [const] dot="\u25cf", bar="\u2500\u2500\u2500!", zero=" \u0398 ";

fcn mayan(m){ m.toString(20).pump(List,fcn(m){ m.toInt(20).divr(5) }) } fcn display(num,digits){

  "{| style=%s\n|+ %s \n|-\n%s|}".fmt(t_style,num,
     digits.split().pump(String, "| style=%s | %s\n".fmt.fp(c_style)) );

}

T(88637341,26960840421).apply(

  fcn(m){ 
     mayan(m).pump(String,

fcn([(bars,dots)]){ (if(bars or dots) (dot*dots + "!" + bar*bars)[0,-1] else zero) + " " }).replace("!","
") : display(m,_)

})

.concat("\n
\n").println();</lang>

Output:

88637341
●	●● ───	●●● ─── ───	●●●● ─── ─── ───	●●● ─── ───	●● ───	●

26960840421
●	●	●	───	───	───	●	●	●