Pre-previously in my post-passionate portrayal of polygonic performativity, I’ve usually looked at what happens when a moving point is banned from jumping twice-in-a-row (and so on) towards the same vertex of a square or other polygon. But what happens when the point isn’t banned but compelled to do something different? For example, if the point usually jumps 1/2 of the distance towards the vertex for the second (third, fourth…) time, you could make it jump 2/3 of the way, like this:

usual jump = 1/2, forced jump = 2/3

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And here are the fractals created when the vertex currently chosen is one or two places clockwise from the vertex chosen before:

usual jump = 1/2, forced jump = 2/3, vertex-inc = +1

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j1 = 1/2, j2 = 2/3, vi = +2

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Or you can make the point jump towards a different vertex to the one chosen, without recording the different vertex in the history of jumps:

v1 = +0, v2 = +1, j = 1/2

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v1 = +0, v2 = +1, vi = +2

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v1 = 0, v2 = +2

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v1 = 0, v2 = +2, vi = +1

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Or you can make the point jump towards the center of the square:

v1 = 0, v2 = center, j = 1/2

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v1 = 0, v2 = center, vertex-inc = +1

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v1 = 0, v2 = center, vertex-inc = +2

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And so on:

v1 = +1, v2 = +1, vi = +1

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v1 = +1, v2 = +1, vi = +2

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v1 = +0, v2 = +1, reverse test

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v1 = +0, v2 = +1, vi = +1, reverse test

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v1 = +0, v2 = +1, vi = +2, reverse test

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v1 = +0, v2 = +2, reverse test

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v1 = +0, v2 = +2, vi = +1, reverse test

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v1 = +2, v2 = +2, vi = +1, reverse test

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j1 = 1/2, j2 = 2/3, vi = +0,+0 (record previous two jumps in history)

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j1 = 1/2, j2 = 2/3, vi = +0,+2

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j1 = 1/2, j2 = 2/3, vi = +2,+2

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j1 = 1/2, j2 = 2/3, vi = +0,+0,+0 (previous three jumps)

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Previously pre-posted (please peruse):

• Square Routes
• Square Routes Revisited
• Square Routes Re-Revisited
• Square Routes Re-Re-Revisited
• Square Routes Re-Re-Re-Revisited