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Gyroelongated bipyramid information


Gyroelongated bipyramid
The pentagonal gyroelongated bipyramid is the regular icosahedron.
Faces4n triangles
Edges6n
Vertices2n + 2
Symmetry groupDnd, [2+,2n], (2*n), order 4n
Rotation groupDn, [2,n]+, (22n), order 2n
Dual polyhedrontruncated trapezohedra
Propertiesconvex

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

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Gyroelongated bipyramid

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In 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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Gyroelongated square bipyramid

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solution to the Thomson problem. Like other gyroelongated bipyramids, the gyroelongated square bipyramid can be constructed by attaching two equilateral...

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Regular icosahedron

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gyroelongation, so the resulting polyhedron is also called gyroelongated pentagonal bipyramid.[citation needed]. Another way to construct it is by putting...

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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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Cube

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Dihedral uniform Dihedral others pyramids truncated trapezohedra gyroelongated bipyramid cupola bicupola frustum bifrustum rotunda birotunda prismatoid...

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Gyroelongated pyramid

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can be constructed allowing for isosceles triangles. Gyroelongated bipyramid Elongated bipyramid Elongated pyramid Diminished trapezohedron Norman W....

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Elongated bipyramid

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when the die is rolled is the side that is to be read. Gyroelongated bipyramid Gyroelongated pyramid Elongated pyramid Diminished trapezohedron Norman...

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Gyroelongated square pyramid

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gyroelongated square pyramid is one of them, enumerated as J 10 {\displaystyle J_{10}} , the tenth Johnson solid. The surface area of a gyroelongated...

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Disdyakis triacontahedron

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snub dodecahedron, with 92 faces, in second place. If the bipyramids, the gyroelongated bipyramids, and the trapezohedra are excluded, the disdyakis triacontahedron...

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List of mathematical shapes

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cupolarotunda Gyroelongated pentagonal pyramid Gyroelongated pentagonal rotunda Gyroelongated square bicupola Gyroelongated square bipyramid Gyroelongated square...

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Triangular prismatic honeycomb

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of tetrahedra existing in the alternated gaps (instead of a triangular bipyramid). There are 1 + 3 + 1 = 5 edges meeting at a vertex, 3 Hexagonal Prism...

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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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Triangular prism

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triaugmented triangular prism. The elongated triangular pyramid and the gyroelongated triangular pyramid are constructed by attaching tetrahedron onto the...

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Icosahedron

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= 20). 9-sided antiprism (2 sets of 9 sides + 2 ends = 20). 10-sided bipyramid (2 sets of 10 sides = 20). 10-sided trapezohedron (2 sets of 10 sides...

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Outline of logic

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

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Simplicial polytope

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Johnson solids: triangular bipyramid, pentagonal bipyramid, snub disphenoid, triaugmented triangular prism, gyroelongated square dipyramid Catalan solids:...

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Gyroelongated pentagonal pyramid

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of the gyroelongated pentagonal pyramid has 11 faces: 5 kites, 1 regular pentagonal and 5 irregular pentagons. Weisstein, Eric W. "Gyroelongated pentagonal...

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Hexadecahedron

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examples of hexadecahedra. Heptagonal antiprism Gyroelongated pentagonal pyramid Gyroelongated square bipyramid Augmented dodecahedron Truncated triakis tetrahedron...

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Capped octahedral molecular geometry

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ligands are arranged around a central atom defining the vertices of a gyroelongated triangular pyramid. This shape has C3v symmetry and is one of the three...

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Square pyramid

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

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J17

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survey ship of the Indian Navy County Route J17 (California) Gyroelongated square bipyramid, a Johnson solid (J17) Just Seventeen, a British magazine Small...

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Capped square antiprismatic molecular geometry

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defining the vertices of a gyroelongated square pyramid. The symmetry group of the resulting object is C4v The gyroelongated square pyramid is a square...

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Enneahedron

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Five Johnson solids have enneahedral duals: the triangular cupola, gyroelongated square pyramid, self-dual elongated square pyramid, triaugmented triangular...

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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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Square antiprism

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The gyroelongated square pyramid is a Johnson solid (specifically, J10) constructed by augmenting one a square pyramid. Similarly, the gyroelongated square...

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