Tridiminished icosahedron explained

Type:Johnson
Faces:2+3 triangles
3 pentagons
Edges:15
Vertices:9
Dual:Dual of tridiminished icosahedron (unnamed enneahedron)
Properties:convex
Net:Johnson solid 63 net.png

In geometry, the tridiminished icosahedron is one of the Johnson solids . The name refers to one way of constructing it, by removing three pentagonal pyramids from a regular icosahedron, which replaces three sets of five triangular faces from the icosahedron with three mutually adjacent pentagonal faces.

Related polytopes

The tridiminished icosahedron is the vertex figure of the snub 24-cell, a uniform 4-polytope (4-dimensional polytope).

See also