Unnested Sierpinski Polygons II

by Simon Whitechapel

When additional points are inserted on the direct line between the vertices, other fractals appear:

vertices = 3 + 1 x inserted; n = 3; diff = 1

v = 3 + 1 inserted + center; n = 4; diff = 1

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vertices = 4 + 1 x inserted; n = 5; diff = 1

Another variant is to specify that a vertex chosen at cycle c_n is not to be chosen again until cycle c_n+t.

v = 4; n = 1; t = 2

v = 4 + center; n = 1; t = 2

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v = 5; n = 1; t = 2

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v = 5; n = 1; t = 3

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v = 6; n = 2; t = 2

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Other variants are left as an exercise for the recreational mathematician:

v = 4; n = 2; t = 2

v = 5; n = 2; t = 2

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