In geometry, the elongated triangular cupola is one of the Johnson solids (J18). As the name suggests, it can be constructed by elongating a triangular cupola (J3) by attaching a hexagonal prism to its base.
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.
and 26 Related for: Elongated triangular cupola information
the elongated cupolae are an infinite set of polyhedra, constructed by adjoining an n-gonal cupola to an 2n-gonal prism. There are three elongated cupolae...
In geometry, the elongatedtriangular gyrobicupola is a polyhedron constructed by attaching two regular triangularcupolas to the base of a regular hexagonal...
direction. It can be seen as an elongated rhombus, while d2 and p2 can be seen as horizontally and vertically elongated kites. g2 hexagons, with opposite...
the triangular orthobicupola is one of the Johnson solids (J27). As the name suggests, it can be constructed by attaching two triangularcupolas (J3)...
but the cupola faces are all in the same plane. Topologically other forms can be constructed without regular faces. ElongatedcupolaElongated bicupola...
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...
solids are the square pyramid, pentagonal pyramid, triangularcupola, square cupola, pentagonal cupola, and pentagonal rotunda. These six may be used to...
of two square cupolas of the elongated square gyrobicupola is twisted by 45 degrees, a process known as gyration, making the triangular faces staggered...
In geometry, the elongated bicupolae are two infinite sets of polyhedra, constructed by adjoining two n-gonal cupolas to an n-gonal prism. They have 2n...
parallelograms corresponding to the valence-4 equatorial vertices. Elongated gyrobifastigium Elongated octahedron Darling, David (2004), The Universal Book of Mathematics:...
protest held on June 18, 1999 County Route J18 (California) Elongatedtriangularcupola, a Johnson solid (J18) J18 Elit, the highest level of under-18...
the elongated triangular orthobicupola, the elongatedtriangular gyrobicupola, the gyroelongated triangular bicupola, and the triangular hebesphenorotunda...
become a cubic honeycomb) In addition there is one special elongated form of the triangular prismatic honeycomb. The total unique prismatic honeycombs...
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...
and triangular antiprisms) and two kinds of tetrahedra (tetragonal disphenoids and digonal disphenoids). The vertex figure is an octakis square cupola. Vertex...
be made strictly convex with 18 irregular triangular faces, or made equilateral with 18 (regular) triangular faces that include two sets of three coplanar...
Global Information
