Fifty-Nine Icosahedra

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).



  • [Snapshot]
  • [Snapshot]
  • [Snapshot]


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.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.