Deltoid Tangents with Evenly Distributed Orientations and Random Tilings
Juan Garcı́a Escudero · Journal of Geometry and Symmetry in Physics · 2023
We study the construction of substitution tilings of the plane based on certain simplicial configurations of tangents of the deltoid with evenly distributed orientations. The random tiling ensembles are obtained as a result of tile rearrangements in the substitution rules associated to edge flips. Special types of random tilings for Euclidean, spherical and hyperbolic three-manifolds are also considered.