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Elongated square bipyramid information


Elongated square bipyramid
TypeJohnson
J14J15J16
Faces8 triangles
4 squares
Edges20
Vertices10
Vertex configuration
Symmetry group
Dual polyhedronsquare bifrustum
Propertiesconvex
Net

In geometry, the elongated square bipyramid (or elongated octahedron) is the polyhedron constructed by attaching two equilateral square pyramids onto a cube's faces that are opposite each other. It can also be seen as 4 lunes (squares with triangles on opposite sides) linked together with squares to squares and triangles to triangles. It is also been named the pencil cube or 12-faced pencil cube due to its shape.[1][2]

A zircon crystal is an example of an elongated square bipyramid.

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  2. ^ Cite error: The named reference goldberg was invoked but never defined (see the help page).

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Elongated square bipyramid

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

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Elongated square pyramid

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(but not geometrically) self-dual. The elongated square bipyramid is constructed by attaching two equilateral square pyramids onto the faces of a cube that...

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Elongated pentagonal bipyramid

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of the elongated square bipyramid is a pentagonal bifrustum. Elongated pentagonal pyramid Weisstein, Eric W., "Elongated pentagonal bipyramid" ("Johnson...

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Elongated bipyramid

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are three elongated bipyramids that are Johnson solids: Elongated triangular bipyramid (J14), Elongated square bipyramid (J15), and Elongated pentagonal...

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Elongated square gyrobicupola

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with the tetrahedron, square pyramid and various combinations of cubes, elongated square pyramids, and elongated square bipyramids. The pseudo great rhombicuboctahedron...

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Elongated triangular bipyramid

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In geometry, the elongated triangular bipyramid (or dipyramid) or triakis triangular prism is one of the Johnson solids (J14), convex polyhedra whose faces...

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Johnson solid

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a square bipyramid[4<>], a cuboctahedron as a triangular gyrobicupola[3cc*], and an icosidodecahedron as a pentagonal gyrobirotunda[5rr*]. Elongated[=]...

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Elongated hexagonal bipyramid

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In geometry, the elongated hexagonal bipyramid is constructed by elongating a hexagonal bipyramid (by inserting a hexagonal prism between its congruent...

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Gyroelongated bipyramid

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geometry, the gyroelongated bipyramids are an infinite set of polyhedra, constructed by elongating an n-gonal bipyramid by inserting an n-gonal antiprism...

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Elongated square cupola

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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)...

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Bifrustum

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symmetry, and also as a bipyramid with the two polar vertices truncated. They are duals to the family of elongated bipyramids. For a regular n-gonal bifrustum...

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List of mathematical shapes

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rotunda Elongated square bipyramid Elongated square cupola Elongated square gyrobicupola Elongated square pyramid Elongated triangular bipyramid Elongated triangular...

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Square pyramid

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J 10 {\displaystyle J_{10}} , elongated square bipyramid J 15 {\displaystyle J_{15}} , gyroelongated square bipyramid J 17 {\displaystyle J_{17}} , augmented...

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Elongated gyrobifastigium

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image) polyhedral pairs to be space-filling. Elongated octahedron Elongated dodecahedron Elongated square bipyramid Trapezo-rhombic dodecahedron Rich, Anthony...

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Triangular prismatic honeycomb

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and two tetrahedra from the triangular bipyramids. The elongated triangular prismatic honeycomb or elongated antiprismatic prismatic cellulation is a...

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Square orthobicupola

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tetrahedra and various combinations of cubes, elongated square pyramids and/or elongated square bipyramids. Johnson, Norman W. (1966), "Convex polyhedra...

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Square cupola

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square pyramids and various combinations of cubes, elongated square pyramids and elongated square bipyramids. Berman, Martin (1971). "Regular-faced convex...

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Cubic honeycomb

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triangular antiprisms). The vertex figure is a square bifrustum. The dual is composed of elongated square bipyramids. Dual cell The truncated cubic honeycomb...

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Triangular prism

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construction involving the triangular prism: elongated triangular pyramid, elongated triangular bipyramid, gyrobifastigium, augmented triangular prism...

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Square gyrobicupola

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pyramids, and elongated square bipyramids. (The latter unit can be decomposed into elongated square pyramids, cubes, and/or square pyramids). Johnson, Norman...

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List of small polyhedra by vertex count

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solids, as well as dihedral symmetry families including the pyramids, bipyramids, prisms, antiprisms, and trapezohedrons. Notes: Polyhedra with different...

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J15

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J15 (California), a County route in Tulare County, California Elongated square bipyramid, a Johnson solid (J15) J15, a Nissan J engine model This disambiguation...

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Elongated pyramid

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There are three elongated pyramids that are Johnson solids: Elongated triangular pyramid (J7), Elongated square pyramid (J8), and Elongated pentagonal pyramid...

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Dodecahedron

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symmetry, order 4 Congruent irregular faced: (face-transitive) Hexagonal bipyramid – 12 isosceles triangles, dual of hexagonal prism, D6h symmetry, order...

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Stereohedron

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Others Faces 8 10 12 Symmetry (order) D2d (8) D4h (16) Images Cell Gyrobifastigium Elongated gyrobifastigium Ten of diamonds Elongated square bipyramid...

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Enneahedron

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

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Cube

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In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets, or sides, with three meeting at each vertex. Viewed from a...

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Elongated pentagonal pyramid

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trapezoidal. It is topologically identical to the Johnson solid. Elongated pentagonal bipyramid Johnson, Norman W. (1966), "Convex polyhedra with regular faces"...

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