Icosahedral prism


In geometry, an icosahedral prism is a convex uniform 4-polytope. This 4-polytope has 22 polyhedral cells: 2 icosahedra connected by 20 triangular prisms. It has 70 faces: 30 squares and 40 triangles. It has 72 edges and 24 vertices.
It can be constructed by creating two coinciding icosahedra in 3-space, and translating each copy in opposite perpendicular directions in 4-space until their separation equals their edge length.
It is one of 18 convex uniform polyhedral prisms created by using uniform prisms to connect pairs of parallel Platonic solids or Archimedean solids.

Net
Schlegel diagram
Only one icosahedral cell shown

Alternate names

  1. Icosahedral dyadic prism Norman W. Johnson
  2. Ipe for icosahedral prism/hyperprism
  3. Snub tetrahedral prism/hyperprism

    Related polytopes