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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In geometry, the elongatedsquarebipyramid (or elongated octahedron) is the polyhedron constructed by attaching two equilateral square pyramids onto a...
(but not geometrically) self-dual. The elongatedsquarebipyramid is constructed by attaching two equilateral square pyramids onto the faces of a cube that...
of the elongatedsquarebipyramid is a pentagonal bifrustum. Elongated pentagonal pyramid Weisstein, Eric W., "Elongated pentagonal bipyramid" ("Johnson...
are three elongatedbipyramids that are Johnson solids: Elongated triangular bipyramid (J14), Elongatedsquarebipyramid (J15), and Elongated pentagonal...
with the tetrahedron, square pyramid and various combinations of cubes, elongatedsquare pyramids, and elongatedsquarebipyramids. The pseudo great rhombicuboctahedron...
In geometry, the elongated triangular bipyramid (or dipyramid) or triakis triangular prism is one of the Johnson solids (J14), convex polyhedra whose faces...
a squarebipyramid[4<>], a cuboctahedron as a triangular gyrobicupola[3cc*], and an icosidodecahedron as a pentagonal gyrobirotunda[5rr*]. Elongated[=]...
In geometry, the elongated hexagonal bipyramid is constructed by elongating a hexagonal bipyramid (by inserting a hexagonal prism between its congruent...
geometry, the gyroelongated bipyramids are an infinite set of polyhedra, constructed by elongating an n-gonal bipyramid by inserting an n-gonal antiprism...
geometry, the elongatedsquare cupola is one of the Johnson solids (J19). As the name suggests, it can be constructed by elongating a square cupola (J4)...
symmetry, and also as a bipyramid with the two polar vertices truncated. They are duals to the family of elongatedbipyramids. For a regular n-gonal bifrustum...
and two tetrahedra from the triangular bipyramids. The elongated triangular prismatic honeycomb or elongated antiprismatic prismatic cellulation is a...
tetrahedra and various combinations of cubes, elongatedsquare pyramids and/or elongatedsquarebipyramids. Johnson, Norman W. (1966), "Convex polyhedra...
square pyramids and various combinations of cubes, elongatedsquare pyramids and elongatedsquarebipyramids. Berman, Martin (1971). "Regular-faced convex...
triangular antiprisms). The vertex figure is a square bifrustum. The dual is composed of elongatedsquarebipyramids. Dual cell The truncated cubic honeycomb...
pyramids, and elongated squarebipyramids. (The latter unit can be decomposed into elongatedsquare pyramids, cubes, and/or square pyramids). Johnson, Norman...
solids, as well as dihedral symmetry families including the pyramids, bipyramids, prisms, antiprisms, and trapezohedrons. Notes: Polyhedra with different...
J15 (California), a County route in Tulare County, California Elongatedsquarebipyramid, a Johnson solid (J15) J15, a Nissan J engine model This disambiguation...
There are three elongated pyramids that are Johnson solids: Elongated triangular pyramid (J7), Elongatedsquare pyramid (J8), and Elongated pentagonal pyramid...
are also found among the Johnson solids: the elongatedsquare pyramid and the elongated triangular bipyramid. The three-dimensional associahedron, with...
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...
trapezoidal. It is topologically identical to the Johnson solid. Elongated pentagonal bipyramid Johnson, Norman W. (1966), "Convex polyhedra with regular faces"...