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

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

We describe computer algorithms that produce the complete set of isohedral tilings by n-omino or n-iamond tiles in which the tiles are fundamental domains and the tilings have 3-, 4-, or 6-fold rotational symmetry. The symmetry groups of such tilings are of types p3, p31m, p4, p4g, and p6. There are...

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Bibliographic Details
Main Authors: Gisaku Nakamura, Doris Schattschneider, Nobuaki Mutoh, Chiaki Kanomata, Hiroshi Fukuda
Format: Article
Language:English
Published: MDPI AG 2011-12-01
Series:Symmetry
Subjects:
polyominoes
polyiamonds
isohedral tilings
two-dimensional symmetry groups
fundamental domains
Online Access:http://www.mdpi.com/2073-8994/3/4/828/

Internet

http://www.mdpi.com/2073-8994/3/4/828/

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