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B1/S048 Carpet Fractal

MAmagillt•Created May 28, 2025
B1/S048 Carpet Fractal
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Instructions

Shift-click the green flag to enable turbo mode. This is an IFS fractal generator using an algorithm known as Chaos Game, and you can edit it by going into the editor and changing the lists.

Description

This is the fractal generated by the dot replicator in the totalistic cellular automaton B1/S048. It has a Hausdorff dimension of 2 - log_2(-3 + sqrt(17)) everything I used to understand Chaos Game: https://math.hws.edu/eck/js/chaos-game/chaos-game-info.html https://math.bu.edu/DYSYS/chaos-game/node1.html https://www.maa.org/sites/default/files/pdf/upload_library/2/Devaney%202005.pdf https://beltoforion.de/en/recreational_mathematics/chaos_game.php https://en.wikipedia.org/wiki/Chaos_game

Project Details

Project ID1181575107
CreatedMay 28, 2025
Last ModifiedJune 28, 2025
SharedMay 28, 2025
Visibilityvisible
CommentsAllowed