Pre-previously on Overlord-in-terms-of-issues-around-the-Über-Feral, I looked at the fractals created when various restrictions are placed on a point jumping at random half-way towards the vertices of a square. For example, the point can be banned from jumping towards the same vertex twice in a row or towards the vertex to the left of the vertex it has just jumped towards, and so on.

Today I want to look at what happens to a similar point moving inside pentagons and hexagons. If the point can’t jump twice towards the same vertex of a pentagon, this is the fractal that appears:

Ban second jump towards same vertex (v + 0)

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Ban second jump towards same vertex (color)

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If the point can’t jump towards the vertex immediately to the left of the one it’s just jumped towards, this is the fractal that appears:

Ban jump towards v + 1

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Ban jump towards v + 1 (color)

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And this is the fractal when the ban is on the vertex two places to the left:

Ban jump towards v + 2

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Ban jump towards v + 2 (color)

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You can also ban more than one vertex:

Ban jump towards v + 0,1

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Ban jump towards v + 1,2

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Ban jump towards v + 1,4

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Ban jump towards v + 1,4 (color)

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Ban jump towards v + 2,3

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And here are fractals created in similar ways inside hexagons:

Ban jump towards v + 0,1

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Ban jump towards v + 0,3

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Ban jump towards v + 0,1,2

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Ban jump towards v + 0,1,2 (color)

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Ban jump towards v + 0,1,4

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Ban jump towards v + 0,1,5

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Ban jump towards v + 0,2,4

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Ban jump towards v + 0,2,4 (color)

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Ban jump towards v + 1,2,3

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Ban jump towards v + 1,2,3 (color)

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Ban jump towards v + 1,2,4

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Ban jump towards v + 1,2,4, (color)

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Ban jump towards v + 1,3,5

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Ban jump towards v + 1,3,5 (color)

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Ban jump towards v + 1,2

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Ban jump towards v + 1,2

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Ban jump towards v + 1,3

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Ban jump towards v + 1,3 (color)

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Ban jump towards v + 1,5

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Ban jump towards v + 1,5 (color)

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Ban jump towards v + 2,3

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Ban jump towards v + 2,3 (color)

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Ban jump towards v + 2,4

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Ban jump towards v + 2,4 (color)

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Elsewhere other-accessible:

• Square Routes Re-Verticed