In geometry, the elongated pentagonal cupola is one of the Johnson solids (J20). As the name suggests, it can be constructed by elongating a pentagonal cupola (J5) by attaching a decagonal prism to its base. The solid can also be seen as an elongated pentagonal orthobicupola (J38) with its "lid" (another pentagonal cupola) removed.
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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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...
the elongatedpentagonal gyrocupolarotunda is one of the Johnson solids (J41). As the name suggests, it can be constructed by elongating a pentagonal gyrocupolarotunda...
the elongatedpentagonal orthocupolarotunda is one of the Johnson solids (J40). As the name suggests, it can be constructed by elongating a pentagonal orthocupolarotunda...
to protest the inauguration of Donald Trump in January 2017 Elongatedpentagonalcupola, a Johnson solid (J20) January 20, 2005 counter-inaugural protest...
dual polyhedron is the regular dodecahedron {5, 3} having three regular pentagonal faces around each vertex. The great icosahedron is one of the four regular...
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...
solids are the square pyramid, pentagonal pyramid, triangular cupola, square cupola, pentagonalcupola, and pentagonal rotunda. These six may be used...
but the cupola faces are all in the same plane. Topologically other forms can be constructed without regular faces. ElongatedcupolaElongated bicupola...
Johnson solids: the elongated square pyramid and the elongated triangular bipyramid. The three-dimensional associahedron, with six pentagonal faces and three...
parallelograms corresponding to the valence-4 equatorial vertices. Elongated gyrobifastigium Elongated octahedron Darling, David (2004), The Universal Book of Mathematics:...
constructed by adjoining two n-gonal cupolas to an n-gonal Antiprism. The triangular, square, and pentagonal gyroelongated bicupola are three of five...
(DU58) and medial inverted pentagonal hexecontahedron (DU60). Jim McNeill, Cupola OR Semicupola Jim McNeill, Relation of Cupolas to Uniform Polyhedra Paper...
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...
are now buried in the seawall. 36 examples of this type remain extant. Pentagonal pillboxes are only found at or near airfields so are almost certainly...
tile shapes, namely a regular decagon, an elongated hexagon, a bow tie, a rhombus, and a regular pentagon. All the sides of these tiles have the same...
branches of the legislature and two meeting halls, one with a cupola and other with an inverted cupola. Niemeyer also built the cathedral, eighteen ministries...
disphenoids and digonal disphenoids). The vertex figure is an octakis square cupola. Vertex figure Dual cell The bitruncated cubic honeycomb is a space-filling...
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