Symmetrohedra: Polyhedra from Symmetric Placement of Regular Polygons
Inhaltsverzeichnis
Reference
Craig S. Kaplan and George W. Hart: Symmetrohedra: Polyhedra from Symmetric Placement of Regular Polygons. In: Bridges 2001. Pages 21–28
DOI
Abstract
In the quest for new visually interesting polyhedra with regular faces, we define and present an infinite class of solids, constructed by placing regular polygons at the rotational axes of a polyhedral symmetry group. This new technique can be used to generate many existing polyhedra, including most of the Archimedean solids. It also yields novel families of attractive symmetric polyhedra.
Extended Abstract
Bibtex
Used References
[1] Daniele Barbaro. La Pratica Della Perspettiva. 1569. Arnaldo Forni reprint, 1980.
[2] Wentzel Jamnitzer. Perspectiva Corporum Regularium. Nuremburg, 1568. (Siruela reprint, Madrid, 1993). http://www.georgehart.com/virtual-polyhedra/jamnitzer.html.
[3] Norman W. Johnson. Convex solids with regular faces. Canadian Journal of Mathematics, 18: 169-200, 1966.
[4] Joseph O'Rourke. Computational Geometry in C. Cambridge University Press, 2 edition, 1998.
Links
Full Text
http://archive.bridgesmathart.org/2001/bridges2001-21.pdf
