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An Exploration Into The Ever-changing Expanse of Non-periodic Tilings

Creator:

Tassin, Ian

Abstract:

This paper synthesizes various works Wang tiles up to this point, including: the reduction from the Halting Problem to Wang Tiling Problem and notions around various aspects of periodicity, including minimal period, aperiodicity, and axis-aligned periodicity. Additionally it includes new work, including: a proof that a tiling can be periodic...

Resource Type:

Honors College Thesis

Full Text:

set, XOR3D. 7 Contents 1 Background Information and Definitions 10 1.1 History of Aperiodic Tile