Soto Sanchez JE, Weyrich T, Medeiros E Sa A, De Figueiredo LH (2021)
Publication Type: Journal article
Publication year: 2021
Book Volume: 95
Pages Range: 69-80
DOI: 10.1016/j.cag.2021.01.007
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)×4 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.
APA:
Soto Sanchez, J.E., Weyrich, T., Medeiros E Sa, A., & De Figueiredo, L.H. (2021). An integer representation for periodic tilings of the plane by regular polygons. Computers & Graphics, 95, 69-80. https://doi.org/10.1016/j.cag.2021.01.007
MLA:
Soto Sanchez, Jose Ezequiel, et al. "An integer representation for periodic tilings of the plane by regular polygons." Computers & Graphics 95 (2021): 69-80.
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