Final stellation of the icosahedron
In geometry, the complete or final stellation of the icosahedron is the outermost stellation of the icosahedron, and is "complete" and "final" because it includes all of the cells in the icosahedron's stellation diagram. That is, every three intersecting face planes of the icosahedral core intersect either on a vertex of this polyhedron or inside of it. It was studied by Max Brückner after the discovery of Kepler–Poinsot polyhedron. It can be viewed as an irregular, simple, and star polyhedron.
| Final stellation of the icosahedron | |
|---|---|
Two symmetric orthographic projections | |
| Type | Stellated icosahedron, 8th of 59 |
| Euler char. | As a star polyhedron: F = 20, E = 90, V = 60 (χ = −10) As a simple polyhedron: F = 180, E = 270, V = 92 (χ = 2) |
| Symmetry group | icosahedral (Ih) |
| Properties | As a star polyhedron: vertex-transitive, face-transitive |
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.