Replacing Ammann’s A4 Tiling Vertex Key by a Stitching Constraint
Pierre Gradit and Vincent Van Dongen

Proceedings of Bridges 2024: Mathematics, Art, Music, Architecture, Culture
Pages 401–404
Short Papers

Abstract

This paper presents a new way of presenting A4, the fourth aperiodic set of tiles by Robert Ammann, replacing the usual vertex constraint by a stitching constraint on the tiling. We demonstrate the equivalence between the two constraint systems and conclude by remarking the resulting stitching figure displays only Fibonacci Snowflakes.

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