Chaos game: Difference between revisions

Line 1,175:
 
{{FormulaeEntry|page=https://formulae.org/?script=examples/Chaos_game}}
 
'''Solution'''
 
When using n points equally spaced over a circle we get a [https://en.wikipedia.org/wiki/N-flake Sierpiński n-gon]. However, the proportion (1/2 for a triangle) is different according to the following formula:
 
[[File:Fōrmulæ - Chaos game 01.png]]
 
[[File:Fōrmulæ - Chaos game 02.png]]
 
[[File:Fōrmulæ - Chaos game 03.png]]
 
The program is:
 
[[File:Fōrmulæ - Chaos game 04.png]]
 
'''Test cases'''
 
[[File:Fōrmulæ - Chaos game 05.png]]
 
[[File:Fōrmulæ - Chaos game 06.png]]
 
Notice that the Sierpiński's 4-gon is NOT the [https://en.wikipedia.org/wiki/Sierpi%C5%84ski_carpet Sierpiński carpet], it is a solid square
 
=={{header|FutureBasic}}==
2,120

edits