From Checkerboard to Cloverfield: Using Wang Tiles in Seamless Non-Periodic Patterns

Year: 2016 Authors: Tuomas Nurmi

Core claim

A novel 30-tile Wang tileset with colored corners is the smallest known set that enforces both corner continuity and aperiodicity.

Topics

Wang tiles, aperiodic tilings, seamless patterns, corner continuity

Domains

tiling theory, aperiodic sets, domino problem, pattern design, computer graphics, texture generation, visual arts

Methods

tileset design, exhaustive search, edge matching, decorative overloading

Media

unit square tiles, parallelogrammatic frames, colored edges, colored corners

Source status

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