Patterning by Projection:Tiling the Dodecahedron and other Solids
Inhaltsverzeichnis
Reference
B.G. Thomas and M.A. Hann: Patterning by Projection:Tiling the Dodecahedron and other Solids. In: Bridges 2008. Pages 101–108
DOI
Abstract
This paper reports on the use of projections from duals to the surface of the Platonic solids, in particular the dodecahedron, in order to pattern or tile the faces of the polyhedra.
Extended Abstract
Bibtex
Used References
[1] B.G. Thomas and M.A. Hann. “Patterned Polyhedra: Tiling the Platonic Solids” in R. Sarhangi and J. Barrallo (eds.) Bridges Donostia: Mathematical Connections in Art, Music, and Science, pp.195-202. 2007.
[2] B.G. Thomas. The Application of Geometric Symmetry to Tilings and Polyhedra. Ph.D. Thesis, University of Leeds. 2007.
[3] B.G. Thomas and M.A. Hann. Patterns in the Plane and Beyond: Symmetry in Two and Three Dimensions. Monograph no. 37 in the Ars Textrina series, The University of Leeds International Textiles Archive (ULITA). 2007.
[4] D. Schattschneider and W. Walker. M.C. Escher Kaleidocycles. Norfolk, Tarquin Publications. 3rd ed., pp.26-27. 1982.
[5] B.G. Thomas. Form, Shape and Space: An Exhibition of Tilings and Polyhedra. The University of Leeds International Textiles Archive, UK. 10 October 2007 – 16 May 2008.
Links
Full Text
http://archive.bridgesmathart.org/2008/bridges2008-101.pdf
