Regular polytopes and uniform prismatic names proposed by Jonathan Bowers
Every regular polytope below can be replaced by a convex uniform polytope.
- 2D
- {p} - polygon
- 3D:
- {p,q} - polyhedron
- {} x {p} - prism
- 4D:
- {p,q,r} - polychoron
- {} x {p,q} - hedrism
- {p} x {q} - duoprism
- 5D:
- {p,q,r,s} - polyteron
- {} x {p,q,r} - chorism
- {p} x {q,r} - gonahedrism
- {} x {p} x {q} - duoprismism
- 6D:
- {p,q,r,s,t} - polypeton
- {} x {p,q,r,s} - terism
- {p} x {p,r,s} - gonachorism
- {p,q} x {r,s} - duohedrism
- {} x {p} x {q,r} – gonahedrismism
- {p} x {q} x {r} – triprism
- 7D:
- {p,q,r,s,t,u} - polyexon
- {} x {p,q,r,s,t} - petism
- {p} x {q,r,s,t} - gonaterism
- {p,q} x {r,s,t} - hedrochorism
- {} x {p} x {q,r,s} - gonachorismism
- {} x {p,q} x {r,s} - duohedrismism
- {p} x {q} x {r,s} - duogonahedrism
- {} x {p} x {q} x {r} – triprismism
- nD, for n >= 8: NOTE: order of p,q,r,... is retained in all!
- {p,q,r,...,s,t,u} - n-polytope
- all 1-subsets of floor(n/2) elements: n-1-prism
- (L x ) S1 x S2 x S3 x ... x Sm subsets: |S1|-|S2|-|S3|-...-|Sm|-prism(ism) with the summation of all cardinalities equaling n