Non-Flat Tilings with Flat Tiles
Inhaltsverzeichnis
Reference
Rinus Roelofs: Non-Flat Tilings with Flat Tiles. In: Bridges 2009. Pages 183–192
DOI
Abstract
In general a tiling is considered to be a set of tiles placed next to each other in a flat plane. The tiles are placed in the plane in such a way that there are no gaps and no overlaps. But what if we leave out the condition that the plane has to be flat? For when there are no gaps and no overlaps between the tiles we still can call it a tiling. The consequences for the possible shapes of the tiles in non-flat tilings as well as the possible symmetrical structures that can be used are discussed in this paper.
Extended Abstract
Bibtex
Used References
Grünbaum and Sheppard, Tilings and Patterns, W.H. Freeman and Company, New York, 1987.
Luca Pacioli, La Divina Proportione, Edicione Akal, Madrid, 1991 (first published in 1509).
Heesch und Kienzle, Flächenschluss, Spinger-Verlag, Berlin, 1963.
Doris Schattschneider, M.C. Escher: Visions of Symmetry, Harry N. Abrams, 2004 (2nd ed.).
Links
Full Text
http://archive.bridgesmathart.org/2009/bridges2009-183.pdf
