Unnested Sierpinski Polygons III

by Simon Whitechapel

vertices = 3; movement = rnd(3)/4

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v = 4; mv = rnd(3)/4

v = 4; mv = rnd(2)/4

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v = 4; mv = rnd(4)/4

When a > b in rnd(a)/b, the fractal extends beyond the vertices like this:

v = 4; mv = rnd(4)/3

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v = 3; mv = rnd(4)/3

The random movement can also be taken from a set of unrelated fractions:

v = 4; mv = rnd(0·10364, 0·77965)

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v = 4; mv = rnd(0·14874, 0·43672, 0·90473)

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v = 4; mv = rnd(various)

One can also prohibit use of a ratio used on the previous move, as here:

v = 4; mv = rnd(4)/5

Another variant, which does not create a fractal, is to move a fixed rather than proportional distance towards a vertex selected at random. In the first the distance is 2/3rds of the radius used to create the vertices:

v = 3; mv = 2/3r

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v = 3; mv = 1r

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v = 4; mv = 7/3r