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Pentagonal bipyramid information


Pentagonal bipyramid
TypeBipyramid,
Johnson
J12J13J14
Faces10 triangles
Edges15
Vertices7
Vertex configuration
Symmetry group
Dual polyhedronpentagonal prism
Propertiesconvex, face-transitive
Net
Johnson solid J13

In geometry, the pentagonal bipyramid (or pentagonal dipyramid) is a polyhedron with 10 triangular faces. It is constructed by attaching two pentagonal pyramids to each of their bases. If the triangular faces are equilateral, the pentagonal bipyramid is an example of deltahedra, and of Johnson solid.

The pentagonal bipyramid may be represented as 4-connected well-covered graph. This polyhedron may be used in the chemical compound as the description of an atom cluster known as pentagonal bipyramidal molecular geometry.

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Pentagonal bipyramid

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geometry, the pentagonal bipyramid (or pentagonal dipyramid) is a polyhedron with 10 triangular faces. It is constructed by attaching two pentagonal pyramids...

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Elongated pentagonal bipyramid

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

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Bipyramid

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bipyramids, Examples of such bipyramids are the triangular bipyramid, octahedron (square bipyramid) and pentagonal bipyramid. In the case all of their edges...

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Pentagonal bipyramidal molecular geometry

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chemistry, a pentagonal bipyramid is a molecular geometry with one atom at the centre with seven ligands at the corners of a pentagonal bipyramid. A perfect...

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Regular icosahedron

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constructed like other gyroelongated bipyramids, started from a pentagonal antiprism by attaching two pentagonal pyramids with regular faces to each of...

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Johnson solid

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is not a Johnson solid. The square bipyramid is the regular octahedron, while the gyroelongated pentagonal bipyramid is the regular icosahedron, so they...

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Fiveling

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dimensions, such as pentagonal with pentagon, and polyhedra in three dimensions such as decahedral for a decahedron (pentagonal bipyramid) and icosahedral...

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Decahedron

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4-antiprism) Square cupola (Johnson solid 4) Pentagonal bipyramid (Johnson solid 13, 5-bipyramid) Augmented pentagonal prism (Johnson solid 52) The decahedra...

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Pentagonal prism

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the product {5}×{}. The dual of a pentagonal prism is a pentagonal bipyramid. The symmetry group of a right pentagonal prism is D5h of order 20. The rotation...

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Pentagonal bifrustum

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In geometry, the pentagonal bifrustum or truncated pentagonal bipyramid is the third in an infinite series of bifrustum polyhedra. It has 10 trapezoidal...

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Octahedron

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dual polyhedron of a cube. It is also a rectified tetrahedron, a square bipyramid in any of three orthogonal orientations, and a triangular antiprism in...

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Trigonal bipyramidal molecular geometry

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angles surrounding the central atom are not identical (see also pentagonal bipyramid), because there is no geometrical arrangement with five terminal...

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List of mathematical shapes

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rhombicosidodecahedron Pentagonal bipyramid Pentagonal cupola Pentagonal gyrobicupola Pentagonal gyrocupolarotunda Pentagonal orthobicupola Pentagonal orthobirotunda...

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Dodecahedron

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self-intersecting equilateral pentagonal faces. A tetartoid (also tetragonal pentagonal dodecahedron, pentagon-tritetrahedron, and tetrahedric pentagon dodecahedron)...

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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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Hexagonal bipyramid

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usually associated with the regular polyhedral form with pentagonal faces. The hexagonal bipyramid has a plane of symmetry (which is horizontal in the figure...

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Elongated bipyramid

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elongated bipyramids that are Johnson solids: Elongated triangular bipyramid (J14), Elongated square bipyramid (J15), and Elongated pentagonal bipyramid (J16)...

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Pentagonal planar molecular geometry

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and [IF5]2− (pentafluoroiodate(III)). Both are derived from the pentagonal bipyramid with two lone pairs occupying the apical positions and the five fluorine...

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Capped octahedral molecular geometry

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shapes for heptacoordinate transition metal complexes, along with the pentagonal bipyramid and the capped trigonal prism. Examples of the capped octahedral...

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Snub disphenoid

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disphenoid can be constructed from pentagonal bipyramid by cutting the two edges along that connecting the base of the bipyramid and then inserting two equilateral...

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Capped trigonal prismatic molecular geometry

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shapes for heptacoordinate transition metal complexes, along with the pentagonal bipyramid and the capped octahedron. Examples of the capped trigonal prismatic...

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Icosahedral bipyramid

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(tetrahedra), it is a Blind polytope. Pentagonal bipyramid - A lower dimensional analogy Tetrahedral bipyramid Octahedral bipyramid - A lower symmetry form of the...

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Simplicial polytope

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tetrahedron, octahedron, icosahedron Johnson solids: triangular bipyramid, pentagonal bipyramid, snub disphenoid, triaugmented triangular prism, gyroelongated...

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Dodecahedral bipyramid

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dodecahedral bipyramid is the direct sum of a dodecahedron and a segment, {5,3} + { }. Each face of a central dodecahedron is attached with two pentagonal pyramids...

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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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Outline of logic

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gyroelongated square bipyramid Logical hexagon Logical icosahedron Logical octahedron Logical pentagon Logical pentagonal bipyramid Logical snub dishenoid...

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Triaugmented triangular prism

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regular octahedron, regular icosahedron, pentagonal bipyramid, snub disphenoid, and gyroelongated square bipyramid. The dual polyhedron of the triaugmented...

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Gyroelongated square bipyramid

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In geometry, the gyroelongated square bipyramid is a polyhedron with 16 triangular faces. it can be constructed from a square antiprism by attaching two...

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