Point Symmetry Patterns on a Regular Hexagonal Tessellation
Inhaltsverzeichnis
Reference
David A. Reimann: Point Symmetry Patterns on a Regular Hexagonal Tessellation. In: Bridges 2012. Pages 365–368
DOI
Abstract
An investigation of point symmetry patterns on the regular hexagonal tessellation is presented. This tessellation has three point symmetry groups. However, the restriction to the hexagonal tessellation causes some symmetry subgroups to be repeated in ways that are geometrically unique and others that are geometrically equivalent, resulting in a total of 14 geometrically distinct symmetry groups. Each symmetry group requires a particular set of motif symmetries to allow its construction. Examples of symmetric patterns are shown for several simple motif families.
Extended Abstract
Bibtex
Used References
[1] J.H. Conway, H. Burgiel, and C. Goodman-Strauss. The Symmetries of Things. AK Peters Wellesley, MA, 2008.
[2] J.A. Gallian. Contemporary Abstract Algebra. Brooks/Cole, 2009.
[3] David A. Reimann. Patterns from Archimedean tilings using generalized Truchet tiles decorated with simple B ́ezier curves. Bridges P ́ecs: Mathematics, Music, Art, Culture, George W. Hart and Reza Sarhangi, editors, pages 427–430, P ́ecs, Hungary, 24–28 July 2010.
Links
Full Text
http://archive.bridgesmathart.org/2012/bridges2012-365.pdf
