The Pegasus Tiles: an aperiodic pair of tiles
Chaim Goodman-Strauss
TL;DR
The Pegasus tiles are a newly presented pair of aperiodic tiles with specific matching rules, contributing to the study of non-repeating tiling patterns in mathematics.
Contribution
This paper introduces the Pegasus tiles, an aperiodic pair with unique matching rules, expanding the set of known aperiodic tilings.
Findings
The tiles are proven to be aperiodic.
They have specific 'tip to tip' matching rules.
The tiles were first drawn in 1996 and are now formally presented.
Abstract
The Pegasus tiles are an aperiodic pair of tiles with "tip to tip" matching rules, first drawn in 1996. We present them here.
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Taxonomy
TopicsCellular Automata and Applications · Quasicrystal Structures and Properties · Advanced Materials and Mechanics