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Cube capped by two square pyramids
In geometry, the elongated square bipyramid (or elongated octahedron) is the polyhedron constructed by attaching two equilateral square pyramids onto a
Elongated_square_bipyramid
Polyhedron formed by capping a prism with pyramids
are three elongated bipyramids that are Johnson solids: Elongated triangular bipyramid (J14), Elongated square bipyramid (J15), and Elongated pentagonal
Elongated_bipyramid
16th Johnson solid; pentagonal prism capped by pyramids
In geometry, the elongated pentagonal bipyramid or bicapped pentagonal prism is a polyhedron constructed by attaching two pentagonal pyramids onto the
Elongated pentagonal bipyramid
Elongated_pentagonal_bipyramid
Triangular prism capped with tetrahedra
The elongated triangular bipyramid or elongated triangular dipyramid is a polyhedron constructed from a triangular prism by attaching two regular tetrahedra
Elongated triangular bipyramid
Elongated_triangular_bipyramid
Polyhedron; hexagonal prism capped with pyramids
In geometry, the elongated hexagonal bipyramid is constructed by elongating a hexagonal bipyramid (by inserting a hexagonal prism between its congruent
Elongated_hexagonal_bipyramid
Polyhedron made by joining two identical frusta at their bases
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
Bifrustum
and two tetrahedra from the triangular bipyramids. The elongated triangular prismatic honeycomb or elongated antiprismatic prismatic cellulation is a
Triangular prismatic honeycomb
Triangular_prismatic_honeycomb
Polyhedron formed by capping a prism with a pyramid
can be constructed with isosceles triangles. Gyroelongated bipyramid Elongated bipyramid Gyroelongated pyramid Diminished trapezohedron Norman W. Johnson
Elongated_pyramid
Convex polyhedron with regular faces
with only triangle faces. J12 Triangular bipyramid J13 Pentagonal bipyramid J17 Gyroelongated square bipyramid J51 Triaugmented triangular prism J84 Snub
Johnson_solid
Space-filling polyhedron with 8 faces
twelve vertices and eighteen edges. Elongated dodecahedron, another space-filling polyhedron Elongated square bipyramid, a space-filling Johnson solid Trapezo-rhombic
Elongated_gyrobifastigium
rotunda Elongated square bipyramid Elongated square cupola Elongated square gyrobicupola Elongated square pyramid Elongated triangular bipyramid Elongated triangular
List of polygons, polyhedra and polytopes
List_of_polygons,_polyhedra_and_polytopes
Polyhedron with cube and square pyramid
\left({\sqrt {2}}\right)+{\frac {\pi }{2}}\approx 144.74^{\circ }.} Elongated square bipyramid Draghicescu, Mircea. "Dual Models: One Shape to Make Them All"
Elongated_square_pyramid
Polyhedron with 12 faces
the center of their base, the bipyramid has D6h symmetry of order 24. Like any other bipyramids, the hexagonal bipyramid is face-transitive and the dual
Dodecahedron
37th Johnson solid (26 faces)
square pyramid, and various combinations of cubes, elongated square pyramids, and elongated square bipyramids. The polyvanadate ion [V18O42]12− has a
Elongated_square_gyrobicupola
Triangular prism capped with a tetrahedron
to its base. Like any elongated pyramid, the resulting solid is topologically (but not geometrically) self-dual. The elongated triangular pyramid is constructed
Elongated_triangular_pyramid
Topics referred to by the same term
Jump, numbered J14, a bus route in Chicago Bacterial pneumonia Elongated triangular bipyramid, a Johnson solid (J14) This disambiguation page lists articles
J14
Polyhedron made by truncating one end of a trapezohedron
faces fold out flat to form half of a hexagram. Elongated pyramid Gyroelongated bipyramid Elongated bipyramid Gyroelongated pyramid "Chestahedron Geometry"
Diminished_trapezohedron
Polyhedron with 20 faces
A bipyramid with twenty triangular faces Gyroelongated triangular cupola: A Johnson solid with 16 triangles, 3 pentagons, and 1 hexagon An elongated triangular
Icosahedron
Operation that cuts polytope vertices, creating a new facet in place of each vertex
by hexagons. In 4-polytopes, edge-truncation replaces edges with elongated bipyramid cells. Alternation or partial truncation removes only some of the
Truncation_(geometry)
rotunda Elongated square bipyramid Elongated square cupola Elongated square gyrobicupola Elongated square pyramid Elongated triangular bipyramid Elongated triangular
List_of_mathematical_shapes
Polyhedron with eight triangular faces
faces are quadrilaterals. Triangular bifrustum: The dual of an elongated triangular bipyramid (a Johnson solid), this can be realized with six isosceles trapezoid
Octahedron
Convex polyhedron
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
Pentagonal_bifrustum
Topics referred to by the same term
locomotive class Shenyang J-16, a Chinese strike fighter aircraft Elongated pentagonal bipyramid, a Johnson solid (J16) Pneumonia J16, an orca, mother of Scarlet
J16
Prism with a 3-sided base
construction involving the triangular prism: The elongated triangular pyramid and the elongated triangular bipyramid are made by attaching tetrahedron onto the
Triangular_prism
Topics referred to by the same term
J15 (California), a County route in Tulare County, California Elongated square bipyramid, a Johnson solid (J15) J15, a Nissan J engine model This disambiguation
J15
Polyhedron formed by capping an antiprism with a pyramid
constructed allowing for isosceles triangles. Gyroelongated bipyramid Elongated bipyramid Elongated pyramid Diminished trapezohedron Rajwade, A. R. (2001)
Gyroelongated_pyramid
Quasiregular space-filling tesselation
The elongated alternated cubic honeycomb has the same arrangement of cells at each vertex, but the overall arrangement differs. In the elongated form
Tetrahedral-octahedral honeycomb
Tetrahedral-octahedral_honeycomb
solids, as well as dihedral symmetry families including the pyramids, bipyramids, prisms, antiprisms, and trapezohedrons. Notes: Polyhedra with different
List of small polyhedra by vertex count
List_of_small_polyhedra_by_vertex_count
Convex polyhedron with 12 triangular faces
snubification. The snub disphenoid may also be constructed from a triangular bipyramid, by cutting its two edges along the apices. These apices can be pushed
Snub_disphenoid
Cupola with octagonal base
square pyramids and various combinations of cubes, elongated square pyramids and elongated square bipyramids. Berman, Martin (1971). "Regular-faced convex
Square_cupola
Solid with four equal triangular faces
its Kleetope. Some Johnson solid such as elongated triangular pyramid and elongated triangular bipyramid are constructed by attaching one and two regular
Regular_tetrahedron
Convex polyhedron that fills space isohedrally
Others Faces 8 10 12 Symmetry (order) D2d (8) D4h (16) Images Cell Gyrobifastigium Elongated gyrobifastigium Ten of diamonds Elongated square bipyramid
Stereohedron
Convex polyhedron whose faces are almost regular polygons
tetrahedron Elongated octahedron Tetratetrahedron, triangulated tetrahedron Augmented triangular cupola Triangulated truncated triangular bipyramid Edge-contracted
Near-miss_Johnson_solid
Polyhedron created by truncating a triangular bipyramid
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
Triangular_bifrustum
Polyhedron with 18 faces
Four Johnson solids have octadecahedral duals: the elongated triangular orthobicupola, the elongated triangular gyrobicupola, the gyroelongated triangular
Octadecahedron
Polyhedron with 14 faces
pentagons) Tetradecahedra having at least one irregular face: Heptagonal bipyramid (14 triangles) (see Dipyramid) Heptagonal trapezohedron (14 kites) (see
Tetradecahedron
Polyhedron with 17 faces
}{16}}\right)\approx 4s\left({\sqrt {4h^{2}+25.2741s^{2}}}+5.02734s\right)} An elongated octagonal pyramid is formed by attaching an octagonal prism to an octagonal
Heptadecahedron
Pyramid with a square base
pyramids: elongated square pyramid J 8 {\displaystyle J_{8}} , gyroelongated square pyramid J 10 {\displaystyle J_{10}} , elongated square bipyramid J 15 {\displaystyle
Square_pyramid
Polyhedron with 15 faces
Examples of pentadecahedra Dual elongated triangular cupola Elongated pentagonal bipyramid Tridecagonal prism Elongated heptagonal pyramid
Pentadecahedron
Four-dimensional analog of the octahedron
parallel tetrahedra in dual configurations, connected by 8 (possibly elongated) tetrahedra. It is represented by s{2,4,3}, and Coxeter diagram: . It
16-cell
Truncated trapezohedron with a 3-sided base
the long diagonal; the result would be the same as if he had drawn the elongated solid. The enlargement factor that is relevant for doubling the cube is
Truncated triangular trapezohedron
Truncated_triangular_trapezohedron
Pyramid with a pentagon base
an elongated pentagonal pyramid J 9 {\displaystyle J_{9}} , a gyroelongated pentagonal pyramid J 11 {\displaystyle J_{11}} , a pentagonal bipyramid J 13
Pentagonal_pyramid
Polyhedron with 9 faces
attaching an equilateral square pyramid to the face of a cube. Elongated triangular bipyramid: a Johnson solid with six equilateral triangles and three squares
Enneahedron
Spatial tiling of convex uniform polyhedra
(elongation). The elongated and gyroelongated alternated cubic tilings have the same vertex figure, but are not alike. In the elongated form, each prism
Convex_uniform_honeycomb
Chemical compound
as occupying two equatorial positions of a hypothetic trigonal bipyramid. The elongated Cl-F axial bonds are consistent with hypervalent bonding. ClF3
Chlorine_trifluoride
29th Johnson solid (18 faces)
with tetrahedra, square pyramids, and elongated square bipyramids. (The latter unit can be decomposed into elongated square pyramids, cubes, and/or square
Square_gyrobicupola
Polyhedron with 14 faces
The hexagonal bifrustum or truncated hexagonal bipyramid is the fourth in an infinite series of bifrustum polyhedra. It has 12 trapezoid and 2 hexagonal
Hexagonal_bifrustum
Rule in geometry of individual molecules
C-F bonds is less than the tetrahedral bond angle of 109.5°. Trigonal bipyramid molecules have both with axial and equatorial positions. If there are
Bent's_rule
Notation for a polyhedron's vertex figure
tiling: 3.3.3.3.3.3 The uniform dual or Catalan solids, including the bipyramids and trapezohedra, are vertically-regular (face-transitive) and so they
Vertex_configuration
Visible shape of a mineral
unique to its variety and locality: For example, while most sapphires form elongate barrel-shaped crystals, those found in Montana form stout tabular crystals
Crystal_habit
M1 through four sites. The M1 and M2 cites create distorted pentagonal bipyramids while the M3 and M4 create tricapped trigonal prisms. The M3 and M4 polyhedra
Cesanite
Materials made only out of carbon
atomic cluster of eight carbon atoms, with the shape of an elongated triangular bipyramid—a six-atom triangular prism with two more atoms above and below
Allotropes_of_carbon
Polyhedron with 24 faces
of Johnson solids, such as the gyroelongated square bicupola and the elongated square gyrobicupola. Common examples include prisms and pyramids, and
Icositetrahedron
Solid with six equal square faces
is thus a component of two Johnson solids, the elongated square pyramid and elongated square bipyramid, the latter being a cube with square pyramids on
Cube
Carbonate mineral
hexagonal bipyramid. (U3) is surrounded by seven O atoms forming a squat UO7 pentagonal bipyramid. The two short apical bonds of all three bipyramids constitute
Meyrowitzite
Orthorhombic anhydrous vanadate hydroxide mineral
as tiny black glossy pyramids or aggregates of dull black, flattened bipyramids up to 0.4 mm across. Australia, Braeside Station: Braeside station is
Mottramite
Properties and behavior of hydrated cations in aqueous solution
molecules in the plane perpendicular to the O-U-O axis in a pentagonal bipyramid structure, point group D5h. Neptunyl and plutonyl have the same structure
Metal ions in aqueous solution
Metal_ions_in_aqueous_solution
symmetry), and 2304 vertices. Its vertex figure is an irregular triangular bipyramid. Vertex figure This polychoron can then be alternated to produce another
Runcinated_24-cells
Molybdate mineral
Slovenia. The crystals are yellow, often with well-developed pyramids and bipyramids. In 1997, the crystal was depicted on a stamp by the Post of Slovenia
Wulfenite
Spherical (n=2, 3, ...) Article Vertex configuration Schläfli symbol Image Bipyramid V42.n dt{2, n} = { }+{n} { }+{6} Trapezohedron V33.n dsr{2,n} = { }⨁{n}
List_of_tessellations
The transverse charge density of the deuteron confirms this prolate or elongated shape. Electron scattering techniques have yielded clues as to the internal
Shape_of_the_atomic_nucleus
Four-dimensional geometrical object
symmetry), and 240 vertices. Its vertex figure is an irregular triangular bipyramid. Vertex figure This polychoron can then be alternated to produce another
Runcinated_5-cell
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ELONGATED BIPYRAMID
ELONGATED BIPYRAMID
ELONGATED BIPYRAMID
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ELONGATED BIPYRAMID
ELONGATED BIPYRAMID
ELONGATED BIPYRAMID
ELONGATED BIPYRAMID
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