Mayan numerals

From Rosetta Code
Task
Mayan numerals
You are encouraged to solve this task according to the task description, using any language you may know.
Task

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


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


See also




AppleScript[edit]

Applescript supports only small integers (up to (2^29)-1 = 536870911).

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("<br>"), 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
Output:

Mayan 4005:

━━
━━
Θ ━━

Mayan 8017:

Θ Θ ●●
━━
━━
━━

Mayan 326205:

●● Θ ━━
━━
━━
━━
━━
━━

Mayan 886205:

━━ ━━
━━
━━
━━
━━
━━
━━
━━

Mayan 2978480:

●●●
━━
━━
━━
●●
━━
━━

━━
●●●● Θ

Factor[edit]

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 "<br>" join ;
 
: numeral ( pair -- str )
dup sum zero? [ drop "Θ" ]
[ first2 [ ones ] [ fives ] bi* 2array harvest "<br>" 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
Output:

Mayan 4005:

——
——
Θ ——

Mayan 8017:

Θ Θ ●●
——
——
——

Mayan 326205:

●● Θ ——
——
——
——
——
——

Mayan 886205:

—— ——
——
——
——
——
——
——
——

Mayan 194481:

●●●●
——
●●●●

Go[edit]

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()
}
}
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[edit]

import Data.List (intercalate, transpose)
import qualified Data.Map.Strict as M
import Data.Maybe (maybe)
import Data.Bool (bool)
 
-- 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
(\row i ->
unlines
(fmap
((bool
[]
(maybe
"|"
(("|style=\"width:" ++) . (++ "\""))
(M.lookup "colwidth" opts))
(0 == i) ++) .
('|' :))
row))
rows
[0 ..]) ++
"|}\n\n"
 
leftPadded :: [[String]] -> [[String]]
leftPadded xs =
let w = maximum (length <$> xs)
in ((++) =<< flip replicate [] . (-) w . length) <$> xs
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

JavaScript[edit]

(() => {
'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();
})();
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


Julia[edit]

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

using Gumbo
 
mayan_glyphs(x, y) = (x == 0 && y == 0) ? "\n<td>Θ</td>\n" : "<td>\n" * "●" ^ x * "<br />\n───" ^ y * "</td>\n"
 
inttomayan(n) = (s = string(n, base=20); map(ch -> reverse(divrem(parse(Int, ch, base=20), 5)), split(s, "")))
 
function testmayan()
startstring = """\n
<style>
table.roundedcorners {
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 *= "<h3>The Mayan representation for the integer $n is: </h3><table class=\"roundedcorners\"><tr>" *
join(map(x -> mayan_glyphs(x[1], x[2]), inttomayan(n))) * "</tr></table>\n\n"
end
 
println(parsehtml(txt))
end
 
testmayan()
 

Version 2, using local wiki style table formatting: translation of style code from the Perl 6 version.

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

The Mayan representation for the integer 4005 is:


───
───
Θ
───


The Mayan representation for the integer 8017 is:

Θ 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:

●●●
───
───

───
───

───
───
───
●●●●
───
●● ●●
───

Perl[edit]

Translation of: Perl 6
Library: ntheory
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 '<br>', '●' 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<br>\n", @output;
Output:
4005

───
───
Θ
───


8017
Θ Θ ●●
───
───
───


326205
●● Θ
───
───
───

───
───

───


886205

───

───
───

───
───
───

───
───

───


26960840421

───

───

───

Perl 6[edit]

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 though if I could have put all the styling into a CSS file instead of inlining it, but oh well, it was entertaining to do.

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 mayan ($int) { $int.polymod(20 xx *).reverse.map: *.polymod(5) }
 
sub display ($num, @digits) {
join "\n", "\{| style=$t-style", "|+ $num",
'|-', (|@digits.map: {"| style=$c-style | $_"}), '|}'
}
 
my @output = <4005 8017 326205 886205 1081439556 503491211079>.map:
{ display $_, .&mayan.map: { (join '<br>', '●' x .[0], '───' xx .[1]) || 'Θ' } }
 
say @output.join: "\n<br>\n";
Output:
4005

───
───
Θ
───


8017
Θ Θ ●●
───
───
───


326205
●● Θ
───
───
───

───
───

───


886205

───

───
───

───
───
───

───
───

───


1081439556

───
───
───
●●
───
───
───
●●●
───
───
───
●●●●
───
───
───
●●●
───
───
───
●●
───
───
───

───
───
───


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

Phix[edit]

Translation of: Perl 6

Three-way output controlled by the first two constants.

-- 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 = "&#x25cf;",
bar = "&#x2500;&#x2500;&#x2500;",
zero = "&#x0398;",
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,"<br>")
end for
if inline_css then
html &= sprintf(" <table>\n <caption>%d</caption>\n <tr>\n",a)
for i=1 to length(s) do
html &= sprintf(" <td>%s</td>\n",{s[i]})
end for
html &= " </tr>\n </table>\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>
<h2>Mayan numerals</h2>
""",
wiki_header = """
The following is intended to be pasted into the rosettacode wiki, or similar<br>
""",
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
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 perl6 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
+------+------+------+------+------+------+------+------+------+------+------+
|      |      |      |      |      |  ..  |      |      |      |      |      |
|  ..  |      |      |      |  ..  | .... |  ..  |      |      |      |  ..  |
| .... |  ..  |      |  ..  | .... | .... | .... |  ..  |      |  ..  | .... |
| .... | .... |  ..  | .... | .... | .... | .... | .... |  ..  | .... | .... |
+------+------+------+------+------+------+------+------+------+------+------+

Python[edit]

Works with: Python version 3.7
'''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;'
})([[
'<br>'.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()
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

REXX[edit]

/*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. */

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  ║────║ ∙  ║
╚════╩════╩════╩════╩════╩════╩════╩════╩════╩════╩════╩════╩════╩════╩════╩════╝

zkl[edit]

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
})
}
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
}
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(_);
}
Output:
4,005:
╔════╦════╦════╗
║    ║    ║    ║
║    ║    ║    ║
║────║    ║    ║
║────║ Θ  ║────║
╚════╩════╩════╝

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

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

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

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

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

The Perl6 numerals look so good, let's copy them.

Translation of: Perl6
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;'
0''border-radius: 1em;-moz-border-radius: 1em;-webkit-border-radius: 1em;'
0''vertical-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("!","<br>") : display(m,_)
})
.concat("\n<br>\n").println();
Output:
88637341
●●
───
●●●
───
───
●●●●
───
───
───
●●●
───
───
●●
───


26960840421

───

───

───