Séminaire Lotharingien de Combinatoire, 93B.104 (2025), 12 pp.
Theo Douvropoulos and Alex McDonough
Generalized Laplacian Tilings and Root Zonotopes
Abstract.
Given any two equi-oriented collections A and B of vectors in
Rr, we construct a family of tilings of
Rr. The tiles themselves are related to the bases of A, while their relative frequency are related to bases of B. Our construction gives a common generalization to Penrose tilings as well as zonotopal space tilings associated to regular matroids.
Received: November 15, 2024.
Accepted: February 15, 2025.
Final version: April 1, 2025.
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