Dual of tridiminished icosahedron (unnamed enneahedron)
Properties
convex
Net
In geometry, the tridiminished icosahedron is one of the Johnson solids (J63). The name refers to one way of constructing it, by removing three pentagonal pyramids (J2) from a regular icosahedron, which replaces three sets of five triangular faces from the icosahedron with three mutually adjacent pentagonal faces.
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 tridiminishedicosahedron is one of the Johnson solids (J63). The name refers to one way of constructing it, by removing three pentagonal...
tridiminishedicosahedron is one of the Johnson solids (J64). It can be obtained by joining a tetrahedron to another Johnson solid, the tridiminished...
icosahedron, a process known as diminishment. They are gyroelongated pentagonal pyramid, metabidiminished icosahedron, and tridiminishedicosahedron,...
pyramids from an icosahedron: the pentagonal antiprism and metabidiminished icosahedron (two pyramids removed), and the tridiminishedicosahedron (three pyramids...
triaugmented triangular prism (whose dual is the associahedron), and tridiminishedicosahedron. Another enneahedron is the diminished trapezohedron with a square...
8-, and 12-gonal ones; the 4-gonal prism duplicates the cube). The icosahedron, snub cube, and square antiprism appear in some alternations, but those...
J64 may refer to: Augmented tridiminishedicosahedron HMCS Comox (J64), a minesweeper of the Royal Canadian Navy LNER Class J64, a British steam locomotive...
{1}{6}}\left(5+2{\sqrt {5}}\right)a^{3}\\&\approx 1.5787a^{3}\end{aligned}}} 63 Tridiminishedicosahedron 9 15 8 C 3 v {\displaystyle C_{3v}} of order 6 A = 1 4 ( 5 3 +...
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