Polyhedron formed by capping an antiprism with pyramids
Gyroelongated bipyramid
The pentagonal gyroelongated bipyramid is the regular icosahedron.
Faces
4n triangles
Edges
6n
Vertices
2n + 2
Symmetry group
Dnd, [2+,2n], (2*n), order 4n
Rotation group
Dn, [2,n]+, (22n), order 2n
Dual polyhedron
truncated trapezohedra
Properties
convex
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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In geometry, the gyroelongatedbipyramids are an infinite set of polyhedra, constructed by elongating an n-gonal bipyramid by inserting an n-gonal antiprism...
solution to the Thomson problem. Like other gyroelongatedbipyramids, the gyroelongated square bipyramid can be constructed by attaching two equilateral...
gyroelongation, so the resulting polyhedron is also called gyroelongated pentagonal bipyramid.[citation needed]. Another way to construct it is by putting...
is not a Johnson solid. The square bipyramid is the regular octahedron, while the gyroelongated pentagonal bipyramid is the regular icosahedron, so they...
can be constructed allowing for isosceles triangles. Gyroelongatedbipyramid Elongated bipyramid Elongated pyramid Diminished trapezohedron Norman W....
when the die is rolled is the side that is to be read. GyroelongatedbipyramidGyroelongated pyramid Elongated pyramid Diminished trapezohedron Norman...
gyroelongated square pyramid is one of them, enumerated as J 10 {\displaystyle J_{10}} , the tenth Johnson solid. The surface area of a gyroelongated...
snub dodecahedron, with 92 faces, in second place. If the bipyramids, the gyroelongatedbipyramids, and the trapezohedra are excluded, the disdyakis triacontahedron...
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...
can be constructed with isosceles triangles. Gyroelongatedbipyramid Elongated bipyramidGyroelongated pyramid Diminished trapezohedron Norman W. Johnson...
triaugmented triangular prism. The elongated triangular pyramid and the gyroelongated triangular pyramid are constructed by attaching tetrahedron onto the...
of the gyroelongated pentagonal pyramid has 11 faces: 5 kites, 1 regular pentagonal and 5 irregular pentagons. Weisstein, Eric W. "Gyroelongated pentagonal...
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...
survey ship of the Indian Navy County Route J17 (California) Gyroelongated square bipyramid, a Johnson solid (J17) Just Seventeen, a British magazine Small...
defining the vertices of a gyroelongated square pyramid. The symmetry group of the resulting object is C4v The gyroelongated square pyramid is a square...
Five Johnson solids have enneahedral duals: the triangular cupola, gyroelongated square pyramid, self-dual elongated square pyramid, triaugmented triangular...
solids, as well as dihedral symmetry families including the pyramids, bipyramids, prisms, antiprisms, and trapezohedrons. Notes: Polyhedra with different...
The gyroelongated square pyramid is a Johnson solid (specifically, J10) constructed by augmenting one a square pyramid. Similarly, the gyroelongated square...