Chaos Game

Number of Vertices

Rule

Distance Factor

Iterations to step at once

Rule 1: picking one of the vertices and going into its direction (from previous iteration result) a factor of its distance (default 0.5)

Rule 2: rule 1, but unable to go towards the same vertex twice in a row

Rule 3: rule 1, but current chosen vertex cannot be 2 places away from the previous chosen vertex

Rule 4: rule 1, but if the same vertex has been chosen twice in a row, then the next cannot be its direct neighbour

Used plot library: Plotly

v = 3, r = 1, f = 0.5

example fractal with 3 vertices, rule 1, and 0.5 distance factor

v = 3, r = 2, f = 0.5

example fractal with 3 vertices, rule 2, and 0.5 distance factor

v = 4, r = 2, f = 0.5

example fractal with 4 vertices, rule 2, and 0.5 distance factor

v = 4, r = 3, f = 0.5

example fractal with 4 vertices, rule 3, and 0.5 distance factor

v = 4, r = 3, f = 0.66

example fractal with 4 vertices, rule 3, and 0.66 distance factor

v = 4, r = 4, f = 0.5

example fractal with 4 vertices, rule 4, and 0.5 distance factor

v = 5, r = 1, f = 0.5

example fractal with 5 vertices, rule 1, and 0.5 distance factor

v = 5, r = 2, f = 0.5

example fractal with 5 vertices, rule 2, and 0.5 distance factor

v = 5, r = 3, f = 0.5

example fractal with 5 vertices, rule 3, and 0.5 distance factor

v = 5, r = 3, f = 0.66

example fractal with 5 vertices, rule 3, and 0.66 distance factor

v = 5, r = 4, f = 0.5

example fractal with 5 vertices, rule 4, and 0.5 distance factor

v = 5, r = 4, f = 0.66

example fractal with 5 vertices, rule 4, and 0.66 distance factor

v = 6, r = 4, f = 0.5

example fractal with 6 vertices, rule 4, and 0.5 distance factor

v = 6, r = 4, f = 0.66

example fractal with 6 vertices, rule 4, and 0.66 distance factor

v = 7, r = 1, f = 0.66

example fractal with 7 vertices, rule 1, and 0.66 distance factor

v = 7, r = 2, f = 0.66

example fractal with 7 vertices, rule 2, and 0.66 distance factor

v = 7, r = 2, f = 0.66

example fractal with 7 vertices, rule 3, and 0.66 distance factor

v = 8, r = 1, f = 0.66

example fractal with 8 vertices, rule 1, and 0.66 distance factor

v = 8, r = 1, f = 0.5

example fractal with 8 vertices, rule 1, and 0.5 distance factor

v = 8, r = 3, f = 0.66

example fractal with 8 vertices, rule 3, and 0.66 distance factor