One of the Kepler-Poinsot Solids whose Dual is the Great
Icosahedron. Its Schläfli Symbol is
. It is also Uniform Polyhedron
and has Wythoff Symbol
. Its faces are
. Its Circumradius for unit
edge length is

The easiest way to construct it is to make 12 Triangular Pyramids

with side length (the Golden Ratio) times the base and attach them to the sides of an Icosahedron.

**References**

Fischer, G. (Ed.). Plate 104 in
*Mathematische Modelle/Mathematical Models, Bildband/Photograph Volume.*
Braunschweig, Germany: Vieweg, p. 103, 1986.

© 1996-9

1999-05-25