Holey Coronas A Solution of the Grunbaum-Shephard Conjecture on Convex Isohedral Tilings

2000 ◽  
Vol 107 (6) ◽  
pp. 551
Author(s):  
Wlodzimierz Kuperberg
Keyword(s):  
Isohedral Tilings

Isohedral tilings of a ribbon

1989 ◽  
Vol 29 (2) ◽  
Author(s):  
RichardL. Roth
Keyword(s):  
Isohedral Tilings

scholarly journals Polyominoes and Polyiamonds as Fundamental Domains of Isohedral Tilings with Rotational Symmetry

Symmetry ◽  
2011 ◽  
Vol 3 (4) ◽  
pp. 828-851 ◽  
Author(s):  
Hiroshi Fukuda ◽  
Chiaki Kanomata ◽  
Nobuaki Mutoh ◽  
Gisaku Nakamura ◽  
Doris Schattschneider
Keyword(s):  
Rotational Symmetry ◽  
Fundamental Domains ◽  
Isohedral Tilings

scholarly journals Polyominoes and Polyiamonds as Fundamental Domains for Isohedral Tilings of Crystal Class D2

Symmetry ◽  
2011 ◽  
Vol 3 (2) ◽  
pp. 325-364 ◽  
Author(s):  
Hiroshi Fukuda ◽  
Chiaki Kanomata ◽  
Nobuaki Mutoh ◽  
Gisaku Nakamura ◽  
Doris Schattschneider
Keyword(s):  
Fundamental Domains ◽  
Crystal Class ◽  
Isohedral Tilings

scholarly journals Vertex-transitive monocoronal tilings from isohedral tilings

2017 ◽  
Vol 73 (a2) ◽  
pp. C331-C331
Author(s):  
Eduard Camangian Taganap ◽  
Ma. Louise Antonette N. De Las Penas
Keyword(s):  
Vertex Transitive ◽  
Isohedral Tilings

On the Number of p4-Tilings by an n-Omino

2019 ◽  
Vol 29 (01) ◽  
pp. 3-19
Author(s):  
Kazuyuki Amano ◽  
Yoshinobu Haruyama
Keyword(s):  
The Other ◽  
Constant Independent ◽  
Isohedral Tilings

A plane tiling by the copies of a polyomino is called isohedral if every pair of copies in the tiling has a symmetry of the tiling that maps one copy to the other. We show that, for every [Formula: see text]-omino (i.e., polyomino consisting of [Formula: see text] cells), the number of non-equivalent isohedral tilings generated by 90 degree rotations, so called p4-tilings or quarter-turn tilings, is bounded by a constant (independent of [Formula: see text]). The proof relies on the analysis of the factorization of the boundary word of a polyomino. We also show an example of a polyomino that has three non-equivalent p4-tilings.

Some 2-isohedral tilings of the plane

1991 ◽  
Vol 39 (1) ◽  
Author(s):  
RichardL. Roth
Keyword(s):  
Isohedral Tilings

Isohedral tilings of the plane by polygons

1978 ◽  
Vol 53 (1) ◽  
pp. 542-571 ◽  
Author(s):  
Branko Grünbaum ◽  
G. C. Shephard
Keyword(s):  
Isohedral Tilings
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