Triaki-icosahedron

A triaki-icosahedron is a dual polyhedron of a Solide of Archimedes, or a Solide of Catalan. Its dual is the Dodécaèdre truncated.

It can be seen like a Icosaèdre with triangular pyramids added on each face. This interpretation is expressed in the name.

This interpretation can also be associated with other similar not-convex polyhedrons with pyramids various heights:

1. First stellation of the icosahedron (sometimes called a triaki-icosahedron )
2. Large spangled dodecahedron (with very large pyramids)
3. Large dodecahedron (with reversed pyramids)

See too

• Paving triakitriangulaire for other polyhedric forms " triakis".

References

• Robert Williams, The Geometrical Foundation off Natural Structure: With Book Source off Design, 1979, ISBN 0-486-23729-X
• Magnus Wenninger, Polyhedron Models , Cambridge University Near, 1974, ISBN 0-521-09859-9