Fractals from Hinged Hexagon and Triangle Tilings
Helena Verrill

Proceedings of Bridges 2024: Mathematics, Art, Music, Architecture, Culture
Pages 327–334
Regular Papers

Abstract

The starting point in this article is a variant of the Smith Truchet tiling, with tiles hexagons or triangles, with an arc design on each tile. A hinged procedure is applied. When repeated indefinitely, families of fractals are obtained. These are terdragon fractals, their boundary, and Sierpinski triangle variations. The Koch snowflake also appears. This is a continuation of the construction of fractal dragons from hinged Truchet tilings in a Bridges 2023 paper.

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