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Prismatic polytope

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Regular polytopes and uniform prismatic names proposed by Jonathan Bowers

Every regular polytope below can be replaced by a convex uniform polytope.

  • 2D
  • 3D:
  • 4D:
  • 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

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