In geometry, the elongated square cupola is one of the Johnson solids (J19). As the name suggests, it can be constructed by elongating a square cupola (J4) by attaching an octagonal prism to its base. The solid can be seen as a rhombicuboctahedron with its "lid" (another square 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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geometry, the elongatedsquarecupola is one of the Johnson solids (J19). As the name suggests, it can be constructed by elongating a squarecupola (J4) by...
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 squarecupola (sometimes called lesser dome) the cupola with octagonal base. In the case of edges are equal in length, it is the Johnson...
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)...
proved that Johnson's list was complete. Of the Johnson solids, the elongatedsquare gyrobicupola (J37), also called the pseudorhombicuboctahedron, is unique...
In geometry, the elongatedsquare gyrobicupola is a polyhedron constructed by two squarecupolas attaching onto the bases of octagonal prism, with one...
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)...
geometry, the crossed squarecupola is one of the nonconvex Johnson solid isomorphs, being topologically identical to the convex squarecupola. It can be obtained...
involving the attachment of the base of a triangular cupola. The triangular cupola has 4 triangles, 3 squares, and 1 hexagon as their faces; the hexagon is the...
In geometry, the elongated triangular orthobicupola is a polyhedron constructed by attaching two regular triangular cupola into the base of a regular...
In geometry, the elongated triangular gyrobicupola is a polyhedron constructed by attaching two regular triangular cupolas to the base of a regular hexagonal...
bases, matching like faces. A 45-degree rotation of one cupola before the joining yields a square gyrobicupola (J29). A Johnson solid is one of 92 strictly...
solids: the square gyrobicupola, the square orthobicupola, the elongatedsquarecupola (also known as the diminished rhombicuboctahedron), and the sphenomegacorona...
triangles, 4n squares, and 2 n-gon. The ortho forms have the cupola aligned, while gyro forms are counter aligned. Bicupola Elongatedcupola Gyroelongated...
but the cupola faces are all in the same plane. Topologically other forms can be constructed without regular faces. ElongatedcupolaElongated bicupola...
first six Johnson solids are the square pyramid, pentagonal pyramid, triangular cupola, squarecupola, pentagonal cupola, and pentagonal rotunda. These...
survey ship of the Indian Navy J19 (journal), a scholarly journal Elongatedsquarecupola, a Johnson solid (J19) This disambiguation page lists articles...
with their construction involving the triangular prism: elongated triangular pyramid, elongated triangular bipyramid, gyrobifastigium, augmented triangular...
rhombicuboctahedron can be dissected into two square cupolae and a central octagonal prism. A rotation of one cupola by 45 degrees creates the pseudorhombicuboctahedron...
its halves. Rotating either the cupola or the rotunda through 36 degrees before inserting the prism yields an elongated pentagonal gyrocupolarotunda (J41)...
one of the two pseudo uniform polyhedra, the other being the convex elongatedsquare gyrobicupola or pseudo rhombicuboctahedron. It has the same vertex...
parallelograms corresponding to the valence-4 equatorial vertices. Elongated gyrobifastigium Elongated octahedron Darling, David (2004), The Universal Book of Mathematics:...
either the pentagonal cupola (J5) or the pentagonal rotunda (J6) through 36 degrees before inserting the prism yields an elongated pentagonal orthocupolarotunda...
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