A demipenteract is a semi-regular polyteron with half the number of vertices as the penteract. It is the 5 dimensional demihypercube.[1] It is related to the family of Gosset polytopes.
Its Bowers acronym is hin.[2]
Structure and Sections[]
Being a demihypercube, it can be constructed from a penteract by removing its alternating vertices.
Subfacets[]
- 16 points (0D)
- 80 line segments (1D)
- 160 triangles (2D)
- 120 tetrahedra (3D)
- 16 pentachora (4D)
- 10 hexadecachora (4D)
- 1 demipenteract (5D)
References[]
See Also[]
| Primary polytera |
|---|
| Regular polytera: hix · pent · tac
Pentacross facetings: hehad · phap · nophap Demipenteract regiment: hin · dah · han · radah · rinah · hit |
| Third | Fourth | Fifth | Sixth | Seventh | Eighth | |
|---|---|---|---|---|---|---|
| 1k2 | 102 | 112 | 122 | 132 | 142 | |
| 2k1 | 201 | 211 | 221 | 231 | 241 | |
| k21 | -121 | 021 | 121 | 221 | 321 | 421 |