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

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

2010-07-15

arxiv.org/abs/1007.2460v2

Symmetry 2011, 3(4), 828-851

Computer Science

Computational Geometry

Scientific paper

10.3390/sym3040828

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 no isohedral tilings with symmetry groups p3m1, p4m, or p6m that have polyominoes or polyiamonds as fundamental domains. We display the algorithms' output and give enumeration tables for small values of n. This expands on our earlier works (Fukuda et al 2006, 2008).

Affiliated with

Also associated with

No associations

Rating

Polyominoes and Polyiamonds as Fundamental Domains of Isohedral Tilings with Rotational Symmetry does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Polyominoes and Polyiamonds as Fundamental Domains of Isohedral Tilings with Rotational Symmetry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Polyominoes and Polyiamonds as Fundamental Domains of Isohedral Tilings with Rotational Symmetry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-597716