GREAT ICOSAHEDRON

In geometry, the 'great icosahedron' is a Kepler-Poinsot polyhedron. It is one of four nonconvex regular polyhedra. It is composed of 20 triangular faces, with five triangles meeting at each vertex in a pentagrammic sequence.
It shares the same vertex arrangement as the regular convex icosahedron. It also shares the same edge arrangement as the small stellated dodecahedron.

A transparent model of the great icosahedron (See also )

Contents

As a stellation

References

External links

As a stellation

It is also a stellation of the icosahedron, counted by Wenninger as model [W41] and the 16th of 17 stellations of the icosahedron and 7th of 59 stellations by Coxeter.
The stellation facets for construction are:
:

References

★ Polyhedron Models, , Magnus, Wenninger, Cambridge University Press, 1974, ISBN 0-521-09859-9

★ The Fifty-Nine Icosahedra, , H. S. M., Coxeter, Springer-Verlag, New York, Berlin, Heidelberg, 1938, ISBN 0-387-90770-X

External links

★ Mathworld: 15 stellations of the icosahedron