In geometry, the elongated square bipyramid (or elongated octahedron) is the polyhedron constructed by attaching two equilateral square pyramids onto...
9 KB (969 words) - 12:32, 28 July 2024
the centers are moved up. The elongated dodecahedron can be constructed as a contraction of a uniform truncated octahedron, where square faces are reduced...
4 KB (334 words) - 13:38, 25 December 2022
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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Rhombicuboctahedron (redirect from Cantellated octahedron)
rhombicuboctahedron. The elongated square gyrobicupola is the only polyhedron resembling the rhombicuboctahedron. The difference is that the elongated square gyrobicupola...
23 KB (2,283 words) - 04:23, 16 July 2024
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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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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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 It is an elongated octahedron, the eight original faces of which have been replaced by fifteen...
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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...
33 KB (2,200 words) - 03:59, 24 July 2024
systems: the cube, hexagonal prism, rhombic dodecahedron, elongated dodecahedron, and truncated octahedron. Every parallelohedron is a zonohedron, a centrally...
14 KB (1,472 words) - 06:53, 17 July 2024
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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truncation of the rectification. Note the duality between the cube and the octahedron, and between the dodecahedron and the icosahedron. Also, partially because...
26 KB (1,309 words) - 05:59, 3 November 2023
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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triangular faces, and represents the closo-boranate [B11H11]2−. The elongated octahedron is similar to the edge-contracted icosahedron, but instead of only...
3 KB (292 words) - 22:07, 12 December 2023
Gyrobifastigium (redirect from Self-dual octahedron)
the cube, truncated octahedron, triangular prism, and hexagonal prism) and it is the only Johnson solid capable of doing so. Elongated gyrobifastigium, a...
7 KB (693 words) - 07:21, 26 July 2024
– 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...
26 KB (3,336 words) - 06:37, 10 June 2024
zonohedron, and plesiohedron. The dual polyhedron of a cube is the regular octahedron. The cube can be represented in many ways, one of which is the graph known...
36 KB (3,837 words) - 04:26, 24 July 2024
tiling Snub hexagonal tiling Elongated triangular tiling Regular polyhedron Platonic solid Tetrahedron Cube Octahedron Dodecahedron Icosahedron Kepler–Poinsot...
47 KB (3,580 words) - 17:01, 29 June 2024
tetrahedra from the triangular bipyramids. The elongated triangular prismatic honeycomb or elongated antiprismatic prismatic cellulation is a space-filling...
17 KB (920 words) - 03:59, 24 July 2024
hexagonal tiling Elongated triangular tiling Three-dimensional space Regular polyhedron Platonic solid: Tetrahedron, Cube, Octahedron, Dodecahedron, Icosahedron...
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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...
60 KB (7,175 words) - 03:39, 24 July 2024
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...
30 KB (2,669 words) - 23:13, 1 July 2024
limiting case of the pyritohedron, and it has octahedral symmetry. The elongated dodecahedron and trapezo-rhombic dodecahedron variations, along with the...
28 KB (2,027 words) - 01:06, 24 April 2024
(elongation). The elongated and gyroelongated alternated cubic tilings have the same vertex figure, but are not alike. In the elongated form, each prism...
67 KB (2,193 words) - 22:18, 11 May 2024
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...
16 KB (1,487 words) - 18:56, 31 July 2023
Augmented pentagonal prism Elongated pentagonal pyramid Gyroelongated pentagonal pyramid Augmented sphenocorona Octadecahedron 12 Elongated pentagonal bipyramid...
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triangles, 6 squares) Truncated cube (8 triangles, 6 octagons) Truncated octahedron (6 squares, 8 hexagons) Prisms and antiprisms: Dodecagonal prism (12 squares...
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invariantly, and takes each octahedron in the ring to a non-adjacent octahedron in the ring. Each isoclinically displaced octahedron is also rotated itself...
237 KB (31,111 words) - 03:39, 24 July 2024
enneahedra are also found among the Johnson solids: the elongated square pyramid and the elongated triangular bipyramid. The three-dimensional associahedron...
7 KB (664 words) - 08:03, 9 July 2024