Hats in Grout: Practical Tiling with Aperiodic Monotiles
Georgia Crowther

Proceedings of Bridges 2024: Mathematics, Art, Music, Architecture, Culture
Pages 389–392
Short Papers

Abstract

This paper explores the unique challenges of creating a traditionally laid tiled surface with aperiodic monotiles. The “hat” monotile will be used to demonstrate three main challenges in these practical tilings - maintaining consistent tile spacing for uniform grouting, implementing unintuitive, self-similar patterning on large surfaces, and manufacturing unusual tile shapes. Solutions to each of these challenges are presented.

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