Cyclic Patterns

Spirolaterals are repeated plots of line segments of constantly increasing length (up to a given maximum), with a specified angle of turn after each segment. Cyclic patterns instead use segments of arbitrary lengths, including repetitions, with an angle calculated to generate a given symmetry and to close after a given number of cycles.


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The number of segments for each run is determined by the control "size". The lengths (maximum length 10) are randomly chosen (a different set for each "random seed"). A different pattern is generated for each "shuffle".
To increase the symmetry of the patterns a given list of segments is combined with its reverse before repetition, for example {4,2,3,2,5,5,2,3,2,4}.
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