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Elongated bipyramid information


Elongated bipyramid
Example: elongated hexagonal bipyramid
Faces2n triangles
n squares
Edges5n
Vertices2n + 2
Symmetry groupDnh, [n,2], (*n22)
Rotation groupDn, [n,2]+, (n22)
Dual polyhedronbifrustums
Propertiesconvex

In geometry, the elongated bipyramids are an infinite set of polyhedra, constructed by elongating an n-gonal bipyramid (by inserting an n-gonal prism between its congruent halves).

There are three elongated bipyramids that are Johnson solids:

  • Elongated triangular bipyramid (J14),
  • Elongated square bipyramid (J15), and
  • Elongated pentagonal bipyramid (J16).

Higher forms can be constructed with isosceles triangles.

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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 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 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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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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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 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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Johnson solid

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

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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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Elongated square pyramid

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solid. It is topologically (but not geometrically) self-dual. The elongated square bipyramid is constructed by attaching two equilateral square pyramids onto...

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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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Elongated pyramid

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can be constructed with isosceles triangles. Gyroelongated bipyramid Elongated bipyramid Gyroelongated pyramid Diminished trapezohedron Norman W. Johnson...

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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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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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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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Elongated square gyrobicupola

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square pyramid and various combinations of cubes, elongated square pyramids, and elongated square bipyramids. The pseudo great rhombicuboctahedron is a nonconvex...

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Gyroelongated pyramid

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constructed allowing for isosceles triangles. Gyroelongated bipyramid Elongated bipyramid Elongated pyramid Diminished trapezohedron Norman W. Johnson, "Convex...

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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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Elongated square cupola

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cubes and cuboctahedra; and with tetrahedra, elongated square pyramids, and elongated square bipyramids. (The latter two units can be decomposed into...

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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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J16

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locomotive class Shenyang J-16, a Chinese strike fighter aircraft Elongated pentagonal bipyramid, a Johnson solid (J16) Pneumonia J16, an orca, mother of Scarlet...

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J14

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jet J-14 (magazine), an American magazine Bacterial pneumonia Elongated triangular bipyramid, a Johnson solid (J14) This disambiguation page lists articles...

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Pentagonal bifrustum

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pentagonal bifrustum is the dual polyhedron of a Johnson solid, the elongated pentagonal bipyramid. A Johnson solid is one of 92 strictly convex polyhedra that...

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Elongated triangular pyramid

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to its base. Like any elongated pyramid, the resulting solid is topologically (but not geometrically) self-dual. The elongated triangular pyramid is constructed...

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Triangular bifrustum

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triangular bipyramid; however, that term is ambiguous, as it may also refer to polyhedra formed by truncating all five vertices of a triangular bipyramid. This...

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