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- Triangular_orthobicupola abstract "In geometry, the triangular orthobicupola is one of the Johnson solids (J27). As the name suggests, it can be constructed by attaching two triangular cupolas (J3) along their bases. It has an equal number of squares and triangles at each vertex; however, it is not vertex-transitive. It is also called an anticuboctahedron.A Johnson solid is one of 92 strictly convex regular-faced polyhedra, but which is not uniform, i.e., not a Platonic solid, Archimedean solid, prism or antiprism. They are named by Norman Johnson who first enumerated the set in 1966.The triangular orthobicupola is the first in an infinite set of orthobicupolae.The triangular orthobicupola has a superficial resemblance to the cuboctahedron, which would be known as the triangular gyrobicupola in the nomenclature of Johnson solids — the difference is that the two triangular cupolas which make up the triangular orthobicupola are joined so that pairs of matching sides abut (hence, "ortho"); the cuboctahedron is joined so that triangles abut squares and vice versa. Given a triangular orthobicupola, a 60-degree rotation of one cupola before the joining yields a cuboctahedron. Hence, another name for the triangular orthobicupola is the anticuboctahedron.The elongated triangular orthobicupola (J35), which is constructed by elongating this solid, has a (different) special relationship with the rhombicuboctahedron.The dual of the triangular orthobicupola is the trapezo-rhombic dodecahedron. It has 6 rhombic and 6 trapezoidal faces, and is similar to the rhombic dodecahedron.".
- Triangular_orthobicupola thumbnail Triangular_orthobicupola.png?width=300.
- Triangular_orthobicupola wikiPageID "1196250".
- Triangular_orthobicupola wikiPageRevisionID "572651410".
- Triangular_orthobicupola dual Trapezo-rhombic_dodecahedron.
- Triangular_orthobicupola edges "24".
- Triangular_orthobicupola faces "2".
- Triangular_orthobicupola faces "6".
- Triangular_orthobicupola hasPhotoCollection Triangular_orthobicupola.
- Triangular_orthobicupola net "Johnson solid 27 net.png".
- Triangular_orthobicupola properties Convex_set.
- Triangular_orthobicupola symmetry "10800.0".
- Triangular_orthobicupola title "Johnson solid".
- Triangular_orthobicupola title "Triangular orthobicupola".
- Triangular_orthobicupola type Johnson_solid.
- Triangular_orthobicupola type "J26 - J27 - J28".
- Triangular_orthobicupola urlname "JohnsonSolid".
- Triangular_orthobicupola urlname "TriangularOrthobicupola".
- Triangular_orthobicupola vertexConfig "6".
- Triangular_orthobicupola vertices "12".
- Triangular_orthobicupola subject Category:Johnson_solids.
- Triangular_orthobicupola type JohnsonSolids.
- Triangular_orthobicupola type Matter100020827.
- Triangular_orthobicupola type PhysicalEntity100001930.
- Triangular_orthobicupola type Solid115046900.
- Triangular_orthobicupola comment "In geometry, the triangular orthobicupola is one of the Johnson solids (J27). As the name suggests, it can be constructed by attaching two triangular cupolas (J3) along their bases. It has an equal number of squares and triangles at each vertex; however, it is not vertex-transitive. It is also called an anticuboctahedron.A Johnson solid is one of 92 strictly convex regular-faced polyhedra, but which is not uniform, i.e., not a Platonic solid, Archimedean solid, prism or antiprism.".
- Triangular_orthobicupola label "Disheptaeder".
- Triangular_orthobicupola label "Gedraaide kuboctaëder".
- Triangular_orthobicupola label "Orthobicoupole hexagonale".
- Triangular_orthobicupola label "Ortobicúpula triangular".
- Triangular_orthobicupola label "Triangular orthobicupola".
- Triangular_orthobicupola label "同相雙三角台塔".
- Triangular_orthobicupola sameAs Disheptaeder.
- Triangular_orthobicupola sameAs Ortobicúpula_triangular.
- Triangular_orthobicupola sameAs Ortobikupula_triangeluar.
- Triangular_orthobicupola sameAs Orthobicoupole_hexagonale.
- Triangular_orthobicupola sameAs 맞붙인_두_삼각지붕.
- Triangular_orthobicupola sameAs Gedraaide_kuboctaëder.
- Triangular_orthobicupola sameAs m.04gftm.
- Triangular_orthobicupola sameAs Q940483.
- Triangular_orthobicupola sameAs Q940483.
- Triangular_orthobicupola sameAs Triangular_orthobicupola.
- Triangular_orthobicupola wasDerivedFrom Triangular_orthobicupola?oldid=572651410.
- Triangular_orthobicupola depiction Triangular_orthobicupola.png.
- Triangular_orthobicupola isPrimaryTopicOf Triangular_orthobicupola.
