Counting a Class of Photogenic Knots on Rubik’s Cubes

Year: 2024 Authors: David Plaxco; Adaija Warren; Alia Davis

Core claim

Among 4,096 possible patterns, exactly 224 are distinct up to cube rotation.

Topics

Rubik’s cube knots, group actions, orbit counting, photogenic knot heuristics

Domains

knot theory, group theory, combinatorics, symmetry counting, visual pattern design, puzzle aesthetics, mathematical visualization

Methods

pattern enumeration, face labeling system, rotation equivalence classes, symmetry analysis

Media

9×9×9 Rubik’s cubes, pixel meshes, thread crossings

Source status

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