Deltoid Tangents with Evenly Distributed Orientations and Random Tilings
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Published:2023-03-30
Issue:
Volume:65
Page:1-39
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ISSN:1312-5192
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Container-title:Journal of Geometry and Symmetry in Physics
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language:
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Short-container-title:J. Geom. Symmetry Phys.
Author:
Escudero Juan Garcia
Abstract
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.
Publisher
Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences)
Subject
Geometry and Topology,Mathematical Physics