Chaos game: Difference between revisions

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'''Solution'''
'''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]]
[[File:Fōrmulæ - Chaos game 04.png]]


'''Test cases'''
'''Test case. Sierpiński triangle'''


[[File:Fōrmulæ - Chaos game 05.png]]
[[File:Fōrmulæ - Chaos game 05.png]]


[[File:Fōrmulæ - Chaos game 06.png]]
[[File:Fōrmulæ - Chaos game 06.png]]

Notice that:

* The Sierpiński's 4-gon is NOT a [https://en.wikipedia.org/wiki/Sierpi%C5%84ski_carpet Sierpiński carpet], it is a solid square.
* The Sierpiński's 5-gon is a pentaplexity without the central tile.


=={{header|FutureBasic}}==
=={{header|FutureBasic}}==