• January 28, 2022, 12:18:39 PM


Kleinian group 2DMöbius IFSWinter Butterflies / Abs Luna newton
Möbius IFS
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Description: IFS using three Möbius transformations.

Coloring is from the code here: https://observablehq.com/@timhutton/mobius-ifs at version v2273. The hue works like this: at each step of the IFS we generate a number [0, 1] and select which transformation to use by dividing at [0.333, 0.666]. The value is also accumulated with exponential smoothing (smoothed_branch_value = smoothed_branch_value * 0.9 + branch_value * 0.1) which gives at the end a value [0, 1] which encodes some of the recent history of which branches were taken. Mapping this value to hue gives a visibly different color on the different parts of the pattern.
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Filesize: 3.63MB
Height: 2318 Width: 2318
Posted by: tim_hutton January 13, 2022, 12:32:40 PM

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Fractal Furball
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January 13, 2022, 05:07:14 PM

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