An Aperiodic Monotile

Year: 2023 Authors: Craig S. Kaplan

Core claim

The “hat” is an einstein: one shape that tiles the plane without periodic repetition.

Topics

aperiodic tilings, single-tile tiling, tiling history, artistic applications

Domains

geometry, tiling theory, combinatorics, discrete mathematics, visual art, pattern design, mathematical art, installation inspiration

Methods

historical overview, proof of aperiodicity, tiling construction, literature review

Media

kite-based polygon, rectangular tiling arrangement, conference figure

Source status

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