Pentakis snub dodecahedron
| Pentakis snub dodecahedron | |
|---|---|
 | |
| Type | Conway polyhedron |
| Faces | 140 triangles |
| Edges | 210 |
| Vertices | 72 |
| Vertex configurations | (12) 35 (60) 36 |
| Symmetry group | Icosahedral (I) |
| Dual polyhedron | Truncated pentagonal hexecontahedron |
| Properties | convex, chiral |
| Net |  |
The pentakis snub dodecahedron is a convex polyhedron with 140 triangular faces, 210 edges, and 72 vertices. Like the snub dodecahedron, it has chiral icosahedral symmetry.
Its name comes from a topological construction from the snub dodecahedron with the kis operator applied to the pentagonal faces. In this construction, all the vertices are computed to be the same distance from the center. The 80 of the triangles are equilateral, and 60 triangles from the pentagons are isosceles.
References
- John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, The Symmetries of Things 2008, ISBN 978-1-56881-220-5
- Chapter 21: Naming the Archimedean and Catalan polyhedra and Tilings (p 284)
External links
This article is issued from Wikipedia - version of the 11/2/2014. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.