Tridiminished icosahedron
In geometry, the tridiminished icosahedron is one of the Johnson solids (J63).
| Tridiminished icosahedron | |
|---|---|
 | |
| Type | Johnson J62 - J63 - J64 |
| Faces | 2+3 triangles 3 pentagons |
| Edges | 15 |
| Vertices | 9 |
| Vertex configuration | 2x3(3.52) 3(33.5) |
| Symmetry group | C3v |
| Dual polyhedron | Dual of tridiminished icosahedron (unnamed enneahedron) |
| Properties | convex |
| Net | |
 | |
A Johnson solid is one of 92 strictly convex polyhedra that is composed of regular polygon faces but are not uniform polyhedra (that is, they are not Platonic solids, Archimedean solids, prisms, or antiprisms). They were named by Norman Johnson, who first listed these polyhedra in 1966.[1]
The name refers to one way of constructing it, by removing three pentagonal pyramids from a regular icosahedron, which replaces three sets of five triangular faces from the icosahedron with three mutually adjacent pentagonal faces.
Related polytopes
The tridiminished icosahedron is the vertex figure of the snub 24-cell, a uniform 4-polytope (4-dimensional polytope).
gollark: Generally, I think my things should do what I want and not enforce artificial lockouts on things, randomly break unrepairably, report data back to whoever, run unauditable proprietary software, or do weird stuff in the background.
gollark: Oh, and if I remember right all Teslas are constantly connected over the mobile network to Tesla and can refuse to work if you don't do software updates.
gollark: * one model of car, I mean
gollark: They also had a perfect* and flawless** design where in one car, their console or something had a flash chip in it which could not be replaced and which their terrible software wore out really fast.
gollark: I have very powerful and general disliking capabilities.
See also
- Diminished icosahedron (J11)
- Metabidiminished icosahedron (J62)
External links
- Johnson, Norman W. (1966), "Convex polyhedra with regular faces", Canadian Journal of Mathematics, 18: 169–200, doi:10.4153/cjm-1966-021-8, MR 0185507, Zbl 0132.14603.
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.