In geometry, an elongated octahedron is a polyhedron with 8 faces (4 triangular, 4 isosceles trapezoidal), 14 edges, and 8 vertices. A related construction...
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the centers are moved up. The elongated dodecahedron can be constructed as a contraction of a uniform truncated octahedron, where square faces are reduced...
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In geometry, the elongated square bipyramid (or elongated octahedron) is the polyhedron constructed by attaching two equilateral square pyramids onto...
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Rhombicuboctahedron (redirect from Elongated square orthobicupola)
rhombicuboctahedron. The elongated square gyrobicupola is the only polyhedron resembling the rhombicuboctahedron. The difference is that the elongated square gyrobicupola...
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In geometry, the elongated gyrobifastigium or gabled rhombohedron is a space-filling octahedron with 4 rectangles and 4 right-angled pentagonal faces....
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irregular hexagonal prism to yield an elongated square dipyramid (J15), which itself is merely an elongated octahedron. It can be constructed from the disphenocingulum...
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Gyrobifastigium (redirect from Self-dual octahedron)
corresponding to the valence-4 equatorial vertices. Elongated gyrobifastigium Elongated octahedron Darling, David (2004), The Universal Book of Mathematics:...
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Tetrahedral-octahedral honeycomb (redirect from Elongated alternated cubic honeycomb)
faces and an octahedron at the other; in the gyroelongated form, the prism meets the same kind of deltahedron at each end. The elongated alternated cubic...
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tets + 1 oct 14 21 9 3 × 33 0 × 34 3 × 35 3 × 36 C3v, [3] 1 3 1 9 6 Elongated octahedron Augmentation 2 tets + 2 octs 16 24 10 0 × 33 4 × 34 4 × 35 2 × 36...
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topologically a self-dual polyhedron and can also be called an elongated octahedron and self-dual octahedron. These polyhedra resemble the dual gyrobifastigium in...
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Gyroelongated trigonal pyramid Triangulated monorectified tetrahedron Elongated octahedron Tetratetrahedron, triangulated tetrahedron Augmented triangular cupola...
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when being cut. Its present weight is 88.7 carats (18 g). It is an elongated octahedron, the eight original faces of which have been replaced by fifteen...
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systems: the cube, hexagonal prism, rhombic dodecahedron, elongated dodecahedron, and truncated octahedron. Every parallelohedron is a zonohedron, a centrally...
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triangular faces, and represents the closo-boranate [B11H11]2−. The elongated octahedron is similar to the edge-contracted icosahedron, but instead of only...
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called a snub octahedron, snub tetratetrahedron, snub tetrahedron, and pseudo-icosahedron. This can be seen as an alternated truncated octahedron. If all the...
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truncation of the rectification. Note the duality between the cube and the octahedron, and between the dodecahedron and the icosahedron. Also, partially because...
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Diminished trapezohedron (redirect from Augmented octahedron)
faces fold out flat to form half of a hexagram. Elongated pyramid Gyroelongated bipyramid Elongated bipyramid Gyroelongated pyramid Tetrahedrally diminished...
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tiling Snub hexagonal tiling Elongated triangular tiling Regular polyhedron Platonic solid Tetrahedron Cube Octahedron Dodecahedron Icosahedron Kepler–Poinsot...
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trigonal trapezohedron in four orientations. The cube is dual to the octahedron. It has cubical or octahedral symmetry, and is the only convex polyhedron...
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– literally meaning "heart-like". This version is shaped like an elongated octahedron. It is woven from two strands with the loose ends emerging from the...
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hexagonal tiling Elongated triangular tiling Three-dimensional space Regular polyhedron Platonic solid: Tetrahedron, Cube, Octahedron, Dodecahedron, Icosahedron...
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tetrahedra from the triangular bipyramids. The elongated triangular prismatic honeycomb or elongated antiprismatic prismatic cellulation is a space-filling...
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cross-polytopes, orthoplexes, or hyperoctahedrons which are analogous to the octahedron in three dimensions. It is Coxeter's β 4 {\displaystyle \beta _{4}} polytope...
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cube, truncated octahedron, and snub cube, as well as 24 faces in a deltoidal icositetrahedron, tetrakis hexahedron, triakis octahedron, and pentagonal...
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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...
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approximated the shape of the Wigner–Seitz cell in sodium, which is a truncated octahedron, as a sphere of equal volume, and solved the Schrödinger equation exactly...
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limiting case of the pyritohedron, and it has octahedral symmetry. The elongated dodecahedron and trapezo-rhombic dodecahedron variations, along with the...
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Augmented pentagonal prism Elongated pentagonal pyramid Gyroelongated pentagonal pyramid Augmented sphenocorona Octadecahedron 12 Elongated pentagonal bipyramid...
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(elongation). The elongated and gyroelongated alternated cubic tilings have the same vertex figure, but are not alike. In the elongated form, each prism...
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family are the canonical pyramids of n sides. Another infinite family, elongated pyramids, consists of polyhedra that can be roughly described as a pyramid...
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