Spiral Tilings
Inhaltsverzeichnis
Reference
Paul Gailiunas: Spiral Tilings. In: Bridges 2000. Pages 133–140
DOI
Abstract
In Tilings and Patterns [1] Griinbaum and Shephard comment that there is extremely little literature on the subject of spiral tilings. They survey what is known, and leave some unanswered questions, in particular whether there is a tile that will produce an r-anned spiral tiling for any odd value of r ~ 5. A new method of generating tiles from regular polygons is developed here. that allows the construction of zig-zag spirdls with any desired number of arms. Spiral tilings of a type already known are considered and new tilings, related to them, are described. Further new tilings are constructed by considering some special cases.
Extended Abstract
Bibtex
Used References
[1] Griinbaum B. and Shephard G.C.,Tilings and Patterns, W.H.Freeman and Company, 1987.
[2] Hatch G., "Tessellations with Equilateral Reflex Polygons", Mathematics Teaching, No.84, Sept.1978, p.32.
[3] Griinbaum B. and Shephard G.C., "Spiral Tilings and Versatiles", Mathematics Teaching, No.88. Sept. 1979, pp.5O-l.
[4] Rice M. and Schattschneider D., "The Incredible Pentagonal Versatile", Mathematics Teaching, No.93, Dec.1980, pp.52-3.
Links
Full Text
http://archive.bridgesmathart.org/2000/bridges2000-133.pdf
