Thursday, October 15, 2026

Polar explorer

Accidentally running a checkerboarded square as a linear polar and then performing a polar to cartesian transformation, with repeats, yields inwardly folding patterns.


polar checkerboard
first

polar checkerboard 2
second

polar checkerboard 3
third

polar checkerboard 4
fourth

polar checkerboard 5
fifth time

The pattern continues to collapse; five are fine.  Your results will vary with the transformer that is used.




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