Abstract
In this chapter, we study the properties of Robinson triangles, which were introduced by Raphael M. Robinson in the 70’s to study Penrose tilings. We study the local and global properties of tilings with Robinson triangles, present the two fundamental operations of Composition and Decomposition, and give several explicit examples. In the second half of the chapter we explain how to use index sequences to classify tilings with Robinson triangles and prove a celebrated theorem concerning the density of Robinson triangles in a tiling.
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D’Andrea, F. (2023). Robinson Triangles. In: A Guide to Penrose Tilings. Springer, Cham. https://doi.org/10.1007/978-3-031-28428-1_3
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DOI: https://doi.org/10.1007/978-3-031-28428-1_3
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Publisher Name: Springer, Cham
Print ISBN: 978-3-031-28427-4
Online ISBN: 978-3-031-28428-1
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