Great complex icosidodecahedron
Jump to navigation
Jump to search
Great complex icosidodecahedron | |
---|---|
![]() | |
Rank | 3 |
Type | Uniform |
Notation | |
Bowers style acronym | Gacid |
Elements | |
Faces | 12 pentagrams, 20 triangles |
Edges | 30 |
Vertices | 12 |
Vertex figure | Complex dipentagon |
Edge figure | Tetrad |
Measures (edge length 1) | |
Circumradius | |
Edge radius | |
Central density | 10 |
Related polytopes | |
Army | Ike |
Regiment | Sissid |
Conjugate | Small complex icosidodecahedron |
Convex core | Icosahedron |
Abstract & topological properties | |
Flag count | 240 |
Properties | |
Symmetry | H3, order 120 |
Convex | No |
The great complex icosidodecahedron, or gacid, is a uniform exotic polyhedroid. It has 12 pentagrams and 20 triangles as faces, with 5 of each at a vertex.
It can be seen as a compound of great icosahedron and small stellated dodecahedron, with their edges coinciding and merging into tetradic edges.
External links[edit | edit source]
- Klitzing, Richard. "gacid".
- Wikipedia contributors. "Great complex icosidodecahedron".