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 (J2) 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.
A Johnson solid is one of 92 strictly convex polyhedra that is composed of regular polygon faces but are not uniform polyhedra (that is, they are not Platonic solids, Archimedean solids, prisms, or antiprisms). They were named by Norman Johnson, who first listed these polyhedra in 1966.[1]
^Johnson, Norman W. (1966), "Convex polyhedra with regular faces", Canadian Journal of Mathematics, 18: 169–200, doi:10.4153/cjm-1966-021-8, MR 0185507, Zbl 0132.14603.
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In geometry, the metabidiminishedicosahedron is one of the Johnson solids (J62). The name refers to one way of constructing it, by removing two pentagonal...
tridiminished icosahedron is the vertex figure of the snub 24-cell, a uniform 4-polytope (4-dimensional polytope). Diminished icosahedron (J11) Metabidiminished icosahedron...
icosahedron, a process known as diminishment. They are gyroelongated pentagonal pyramid, metabidiminishedicosahedron, and tridiminished icosahedron,...
pyramids from an icosahedron: the pentagonal antiprism and metabidiminishedicosahedron (two pyramids removed), and the tridiminished icosahedron (three pyramids...
faces; a related shape, the metabidiminishedicosahedron (one of the Johnson solids), is likewise form from the icosahedron by removing two pyramids, but...
Royal Navy LNER Class J62, a British steam locomotive class Metabidiminishedicosahedron, A Johnson solid with the designation J 62 {\displaystyle J_{62}}...
{5}{8}}\left(7+3{\sqrt {5}}\right)a^{3}\\&\approx 8.5676a^{3}\end{aligned}}} 62 Metabidiminishedicosahedron 10 20 12 C 2 v {\displaystyle C_{2v}} of order 4 A = 1 2 ( 5...