Metabidiminished icosahedron

Metabidiminished icosahedron: Metabidiminished icosahedron

Type Johnson
J₆₁ - J₆₂ - J₆₃

Faces 3x2+4 triangles
2 pentagons

Edges 20

Vertices 10

Vertex configuration 2(3.5²)
2+4(3³.5)
2(3⁵)

Symmetry group C_2v

Dual polyhedron -

Properties convex

Net

In geometry, the metabidiminished icosahedron is one of the Johnson solids (J₆₂). The name refers to one way of constructing it, by removing two pentagonal pyramids from a regular icosahedron, replacing two sets of five triangular faces of the icosahedron with two adjacent pentagonal faces. If two pentagonal pyramids are removed to form nonadjacent pentagonal faces, the result is instead the pentagonal antiprism.

With the other 92 Johnson solids, the metabidiminished icosahedron was named and described by Norman Johnson in 1966.

External links

Weisstein, Eric W., "Metabidiminished icosahedron" from MathWorld.

This polyhedron-related article is a stub. You can help Wikipedia by expanding it.

Academic Dictionaries and Encyclopedias

Metabidiminished icosahedron

Type	Johnson J₆₁ - J₆₂ - J₆₃
Faces	3x2+4 triangles 2 pentagons
Edges	20
Vertices	10
Vertex configuration	2(3.5²) 2+4(3³.5) 2(3⁵)
Symmetry group	C_2v
Dual polyhedron	-
Properties	convex
Net