Wolfram Demonstrations Project

13,000+ Open Interactive Demonstrations
Powered by Notebook Technology »

Fifty-Nine Icosahedra

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

There are 59 stellations of the icosahedron. The faces of the stellations lie in one of 20 planes through the faces of the original icosahedron. Each stellation consists of a set of facets subjected to connectivity constraints (no holes).

Contributed by: Roman E. Maeder (September 2007)
Open content licensed under CC BY-NC-SA

Snapshots

Details

The combinatorial analysis of the icosahedral stellations is by H. S. M. Coxeter, P. Du Val, H. T. Flather, and J. F. Petrie, The Fifty-Nine Icosahedra, New York: Springer-Verlag, 1982. (Originally published by Univ. of Toronto Press, 1938.) The Mathematica code was originally developed for R. E. Maeder, The Mathematica Programmer, Boston: AP Professional, 1994.

Embed Code

Take advantage of the Wolfram Notebook Emebedder for the recommended user experience.

Related Demonstrations More by Author
Browse all topics
Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send