Tiles--Inflation Rules for the Class of Canonical Tilings T*(2F)
Z. Papadopolos, C. Hohneker, P. Kramer (Institut fuer Theoretische, Physik, Universitaet Tuebingen, Germany)
TL;DR
This paper determines inflation rules for the six-tetrahedron canonical tilings of 3D space using the projection method, contributing to the understanding of their geometric structure.
Contribution
It introduces a novel application of the projection method to derive inflation rules for a specific class of 3D canonical tilings.
Findings
Inflation rules for T*(2F) tilings are explicitly derived.
The inflation process preserves the tiling structure.
Provides a framework for analyzing similar 3D tilings.
Abstract
The tiles of the canonical tilings (of the 3dimensional space) T*(2F) are six tetrahedra. We determine their inflation rules by the projection method.
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Taxonomy
TopicsQuasicrystal Structures and Properties · Cellular Automata and Applications · semigroups and automata theory