In geometry, the gyroelongated triangular cupola is one of the Johnson solids (J22). It can be constructed by attaching a hexagonal antiprism to the base of a triangular cupola (J3). This is called "gyroelongation", which means that an antiprism is joined to the base of a solid, or between the bases of more than one solid.
The gyroelongated triangular cupola can also be seen as a gyroelongated triangular bicupola (J44) with one triangular cupola removed. Like all cupolae, the base polygon has twice as many sides as the top (in this case, the bottom polygon is a hexagon because the top is a triangle).
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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one solid. The gyroelongatedtriangularcupola can also be seen as a gyroelongatedtriangular bicupola (J44) with one triangularcupola removed. Like all...
In geometry, the gyroelongated cupolae are an infinite set of polyhedra, constructed by adjoining an n-gonal cupola to an 2n-gonal antiprism. There are...
solids, and is represented by its Schläfli symbol {3, 5}, containing 20 triangular faces, with 5 faces meeting around each vertex. Its dual polyhedron is...
use of space and building materials. The Voronoi diagram of a regular triangular lattice is the honeycomb tessellation of hexagons. It is not usually considered...
the gyroelongated bicupolae are an infinite sets of polyhedra, constructed by adjoining two n-gonal cupolas to an n-gonal Antiprism. The triangular, square...
triangular prism, and triaugmented triangular prism. The elongated triangular pyramid and the gyroelongatedtriangular pyramid are constructed by attaching...
alternating faces and edges. The smallest polyhedron is the tetrahedron with 4 triangular faces, 6 edges, and 4 vertices. Named polyhedra primarily come from the...
has twenty triangular and ten square faces. The Johnson solid is the convex polyhedron with all of its faces are regular, and the gyroelongated square bicupola...
solids are the square pyramid, pentagonal pyramid, triangularcupola, square cupola, pentagonal cupola, and pentagonal rotunda. These six may be used to...
survey ship of the Indian Navy County Route J22 (California) Gyroelongatedtriangularcupola, a Johnson solid (J22) Jennings J-22, a pistol This disambiguation...
the elongated triangular orthobicupola, the elongated triangular gyrobicupola, the gyroelongatedtriangular bicupola, and the triangular hebesphenorotunda...
Johnson solid. Higher forms can be constructed without regular faces. Gyroelongated bicupola Norman W. Johnson, "Convex Solids with Regular Faces", Canadian...
form, each prism meets a tetrahedron at one triangular end and an octahedron at the other. In the gyroelongated form, prisms that meet tetrahedra at both...
be made strictly convex with 18 irregular triangular faces, or made equilateral with 18 (regular) triangular faces that include two sets of three coplanar...
corners are cut off we get a polyhedron with six octagonal faces and eight triangular ones. In particular we can get regular octagons (truncated cube). The...
aligned, while gyro forms are counter aligned. Bicupola Elongated cupolaGyroelongated bicupola Norman W. Johnson, "Convex Solids with Regular Faces", Canadian...
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