All dimensions Wiki
Register
Advertisement

Wider Scope: List of Polytopes by Type

Polyhedra are three-dimensional polytopes. They have vertices, edges, faces and a single cell.

Another name for Polyhedron is Polycubinaosias le Polytopana (A Wiki contributor)

Types[]

By Construction[]

By Verf[]

  • List of Polyhedra with Triangular Verfs (Verf: Triangle)
  • List of Polyhedra with Square Verfs (Verf: Square)
  • List of Polyhedra with Pentagonal Verfs (Verf: Pentagon)
  • List of Polyhedra with Hexagonal Verfs (Verf: Hexagon)
  • List of Polyhedra with Octagonal Verfs (Verf: Octagon)

List of Rotatopic Polyhedra[]

Rotatopic polyhedra are polyhedra formed from the product of multiple hyperspheres. There are exactly three rotatopic polyhedra, listed below along with their constituent hyperspheres (using Bowers' rotatope notation):

  • Cube
  • Cylinder
  • Sphere

List of Prism Polyhedra[]

Full article: List of Prism Polyhedra

List of Antiprism Polyhedra[]

Square Antiprism

Antiprism polyhedra are formed by connecting two polygons through space with alternating triangles. Similar to the prism polyhedra, there are a countably infinite number of these.

Some significant antiprisms are:

  • Tetrahedron (digon-based)
  • Octahedron (triangle-based)
  • Square Antiprism
  • Pentagonal Antiprism
  • Hexagonal Antiprism
  • Heptagonal Antiprism
  • Octagonal Antiprism
  • Enneagonal Antiprism
  • Decagonal Antiprism

List of Regular Polyhedra[]

Full article: List of Regular Polyhedra

List of Truncated Polyhedra[]

Full article: List of Truncated Polyhedra

Advertisement