In geometry, an elongated octahedron is a polyhedron with 8 faces (4 triangular, 4 isosceles trapezoidal), 14 edges, and 8 vertices. A related construction...

the centers are moved up. The elongated dodecahedron can be constructed as a contraction of a uniform truncated octahedron, where square faces are reduced...

In geometry, the elongated square bipyramid (or elongated octahedron) is the polyhedron constructed by attaching two equilateral square pyramids onto...

In geometry, the elongated gyrobifastigium or gabled rhombohedron is a space-filling octahedron with 4 rectangles and 4 right-angled pentagonal faces....

rhombicuboctahedron. The elongated square gyrobicupola is the only polyhedron resembling the rhombicuboctahedron. The difference is that the elongated square gyrobicupola...

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...

Gyroelongated trigonal pyramid Triangulated monorectified tetrahedron Elongated octahedron Tetratetrahedron, triangulated tetrahedron Augmented triangular cupola...

irregular hexagonal prism to yield an elongated square dipyramid (J15), which itself is merely an elongated octahedron. It can be constructed from the disphenocingulum...

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...

corresponding to the valence-4 equatorial vertices. Elongated gyrobifastigium Elongated octahedron Darling, David (2004), The Universal Book of Mathematics:...

topologically a self-dual polyhedron and can also be called an elongated octahedron and self-dual octahedron. These polyhedra resemble the dual gyrobifastigium in...

systems: the cube, hexagonal prism, rhombic dodecahedron, elongated dodecahedron, and truncated octahedron. Every parallelohedron is a zonohedron, a centrally...

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 It is an elongated octahedron, the eight original faces of which have been replaced by fifteen...

truncation of the rectification. Note the duality between the cube and the octahedron, and between the dodecahedron and the icosahedron. Also, partially because...

called a snub octahedron, snub tetratetrahedron, snub tetrahedron, and pseudo-icosahedron. This can be seen as an alternated truncated octahedron. If all the...

faces fold out flat to form half of a hexagram. Elongated pyramid Gyroelongated bipyramid Elongated bipyramid Gyroelongated pyramid Tetrahedrally diminished...

triangular faces, and represents the closo-boranate [B11H11]2−. The elongated octahedron is similar to the edge-contracted icosahedron, but instead of only...

tiling Snub hexagonal tiling Elongated triangular tiling Regular polyhedron Platonic solid Tetrahedron Cube Octahedron Dodecahedron Icosahedron Kepler–Poinsot...

– 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...

hexagonal tiling Elongated triangular tiling Three-dimensional space Regular polyhedron Platonic solid: Tetrahedron, Cube, Octahedron, Dodecahedron, Icosahedron...

trigonal trapezohedron in four orientations. The cube is dual to the octahedron. It has cubical or octahedral symmetry, and is the only convex polyhedron...

tetrahedra from the triangular bipyramids. The elongated triangular prismatic honeycomb or elongated antiprismatic prismatic cellulation is a space-filling...

cube, truncated octahedron, and snub cube, as well as 24 faces in a deltoidal icositetrahedron, tetrakis hexahedron, triakis octahedron, and pentagonal...

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...

Augmented pentagonal prism Elongated pentagonal pyramid Gyroelongated pentagonal pyramid Augmented sphenocorona Octadecahedron 12 Elongated pentagonal bipyramid...

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...

limiting case of the pyritohedron, and it has octahedral symmetry. The elongated dodecahedron and trapezo-rhombic dodecahedron variations, along with the...

family are the canonical pyramids of n sides. Another infinite family, elongated pyramids, consists of polyhedra that can be roughly described as a pyramid...

enneahedra are also found among the Johnson solids: the elongated square pyramid and the elongated triangular bipyramid. The three-dimensional associahedron...

triangles, 6 squares) Truncated cube (8 triangles, 6 octagons) Truncated octahedron (6 squares, 8 hexagons) Prisms and antiprisms: Dodecagonal prism (12 squares...