From Affine A4A_4A4 to Affine H2H_2H2: Group Theoretical Analysis of Penrose-like Tilings (original) (raw)

Acta Crystallographica, 2022

From affine A 4 to affine H 2: group-theoretical analysis of fivefold symmetric tilings

Acta Crystallographica Section A Foundations and Advances

Group-theoretical analysis of aperiodic tilings from projections of higher-dimensional lattices Bn

Acta crystallographica. Section A, Foundations and advances, 2015

Affine Dihedral Subgroups of Higher Dimensional Cubic Lattices mathbbZn\mathbb{Z}^nmathbbZn and Quasicrystallography

arXiv (Cornell University), 2023

Quasicrystal Tilings in Three Dimensions and Their Empires

Klee Irwin

Prototiles and Tilings from Voronoi and Delone Cells of the Root Lattice An

Symmetry, 2019

Symmetry properties of Penrose type tilings

Nicolae Cotfas

Philosophical Magazine, 2008

12-fold Quasicrystallography from affine F4, B6, and E6

A new method to generate quasicrystalline structures : examples in 2D tilings

Jean-François Sadoc

Journal De Physique, 1990

Tilings, coverings, clusters and quasicrystals

Eric Lord

2000

Icosahedral Polyhedra from D6 Lattice and Danzer’s ABCK Tiling

Symmetry, 2020

Affine coxeter group W a (A 4 ), quaternions, and decagonal quasicrystals

mehmet koca

International Journal of Geometric Methods in Modern Physics, 2014

Affine Wa(A4), Quaternions, and Decagonal Quasicrystals

2012

The Equivalence Between Unit-Cell Twinning and Tiling in Icosahedral Quasicrystals

A. Prodan

Scientific Reports

Twelvefold symmetric quasicrystallography from the lattices F 4 , B 6 and E 6

mehmet koca

Acta Crystallographica Section A Foundations and Advances, 2014

Rows in two-dimensional quasilattices

Hans-Rainer Trebin

physica status solidi (b), 1992

Classification of local configurations in quasicrystals

Regine Von Klitzing

Acta Crystallographica Section A Foundations of Crystallography, 1994

Geometric study of a 2D tiling related to the octagonal quasiperiodic tiling

Jean-François Sadoc

Journal De Physique, 1989

The space groups of axial crystals and quasicrystals

Daniel Rokhsar

Reviews of Modern Physics, 1991

A highly symmetric four-dimensional quasicrystal

Neil Sloane

Journal of Physics A: Mathematical and General, 1987

Remarks on symmetries of 2D-quasicrystals

SUSAN GALVEZ SANCHEZ

International Journal of Computer Mathematics, 2008

Quasi Regular Polyhedra and Their Duals with Coxeter Symmetries I

Voronoi Entropy vs. Continuous Measure of Symmetry of the Penrose Tiling: Part I. Analysis of the Voronoi Diagrams

Edward Bormashenko, S. Shoval

Quasicrystals: tiling versus clustering

Eric Lord

Philosophical Magazine A, 2001

Self similar symmetric planar tilings

Jost Eschenburg

Journal of Geometry, 2007

{"__content__"=>"Explicit construction of the Voronoi and Delaunay cells of W(A) and W(D) lattices and their facets.", "sub"=>[{"__content__"=>"n"}, {"__content__"=>"n"}]}

Acta crystallographica. Section A, Foundations and advances, 2018