Paper Info
Title
An Integer Representation For Periodic Tilings Of The Plane By Regular Polygons
Abstract
We describe a representation for periodic tilings of the plane by regular polygons. Our approach is to represent explicitly a small subset of seed vertices from which we systematically generate all elements of the tiling by translations. We represent a tiling concretely by a (2 + n) x4 integer matrix containing lattice coordinates for two translation vectors and n seed vertices. We discuss several properties of this representation and describe how to exploit the representation elegantly and efficiently for reconstruction, rendering, and automatic crystallographic classification by symmetry detection. (C) 2021 Elsevier Ltd. All rights reserved.
Year
DOI
Venue
2021
10.1016/j.cag.2021.01.007
COMPUTERS & GRAPHICS-UK
Keywords
DocType
Volume
Tessellations, Symmetry, Representation schemes, Geometric modeling, Procedural modeling
Journal
95
ISSN
Citations 
PageRank 
0097-8493
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
José Ezequiel Soto Sánchez100.34
Tim Weyrich240828.87
Asla Medeiros Sá3648.43
L. H. de Figueiredo4181.81