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Johnson solid

Index Johnson solid

In geometry, a Johnson solid is a strictly convex polyhedron, which is not uniform (i.e., not a Platonic solid, Archimedean solid, prism, or antiprism), and each face of which is a regular polygon. [1]

192 relations: Amanita basii, Amanita flavorubens, Antiprism, Archimedean solid, Augment, Augmented dodecahedron, Augmented hexagonal prism, Augmented pentagonal prism, Augmented sphenocorona, Augmented triangular prism, Augmented tridiminished icosahedron, Augmented truncated cube, Augmented truncated dodecahedron, Augmented truncated tetrahedron, Biaugmented pentagonal prism, Biaugmented triangular prism, Biaugmented truncated cube, Bicupola (geometry), Bifrustum, Bigyrate diminished rhombicosidodecahedron, Bilunabirotunda, Bipyramid, Birotunda, Bonnie Stewart, Catalan solid, Convex uniform honeycomb, Conway polyhedron notation, Crossed pentagrammic cupola, Crossed square cupola, Cuboctahedron, Cupola (geometry), Decahedron, Deltahedron, Diminished rhombic dodecahedron, Diminished rhombicosidodecahedron, Diminished trapezohedron, Disphenocingulum, Disphenoid, Dodecahedron, Edge-contracted icosahedron, Eldzier Cortor, Elongated bipyramid, Elongated cupola, Elongated dodecahedron, Elongated gyrobifastigium, Elongated hexagonal bipyramid, Elongated octahedron, Elongated pentagonal bipyramid, Elongated pentagonal cupola, Elongated pentagonal gyrobicupola, ..., Elongated pentagonal gyrobirotunda, Elongated pentagonal gyrocupolarotunda, Elongated pentagonal orthobicupola, Elongated pentagonal orthobirotunda, Elongated pentagonal orthocupolarotunda, Elongated pentagonal pyramid, Elongated pentagonal rotunda, Elongated pyramid, Elongated square bipyramid, Elongated square cupola, Elongated square gyrobicupola, Elongated square pyramid, Elongated triangular bipyramid, Elongated triangular cupola, Elongated triangular gyrobicupola, Elongated triangular orthobicupola, Elongated triangular pyramid, Elongated triangular tiling, Elongation, Enneahedron, Geodesic dome, Gyrate bidiminished rhombicosidodecahedron, Gyrate rhombicosidodecahedron, Gyrobifastigium, Gyroelongated bicupola, Gyroelongated bipyramid, Gyroelongated cupola, Gyroelongated pentagonal bicupola, Gyroelongated pentagonal birotunda, Gyroelongated pentagonal cupola, Gyroelongated pentagonal cupolarotunda, Gyroelongated pentagonal pyramid, Gyroelongated pentagonal rotunda, Gyroelongated pyramid, Gyroelongated square bicupola, Gyroelongated square bipyramid, Gyroelongated square cupola, Gyroelongated square pyramid, Gyroelongated triangular bicupola, Gyroelongated triangular cupola, Hebesphenomegacorona, Hendecahedron, Hexagon, Hexapentakis truncated icosahedron, Icosahedral honeycomb, Icosahedron, Icosidodecahedron, J73 (disambiguation), Johnson (disambiguation), Jovo, List of convex uniform tilings, List of geometry topics, List of Johnson solids, List of polygons, polyhedra and polytopes, List of small polyhedra by vertex count, List of University of Toronto people, Metabiaugmented dodecahedron, Metabiaugmented hexagonal prism, Metabiaugmented truncated dodecahedron, Metabidiminished icosahedron, Metabidiminished rhombicosidodecahedron, Metabigyrate rhombicosidodecahedron, Metagyrate diminished rhombicosidodecahedron, Near-miss Johnson solid, Norman Johnson (mathematician), Octadecahedron, Octahedron, Parabiaugmented dodecahedron, Parabiaugmented hexagonal prism, Parabiaugmented truncated dodecahedron, Parabidiminished rhombicosidodecahedron, Parabigyrate rhombicosidodecahedron, Paragyrate diminished rhombicosidodecahedron, Pentagonal antiprism, Pentagonal bifrustum, Pentagonal bipyramid, Pentagonal cupola, Pentagonal gyrobicupola, Pentagonal gyrocupolarotunda, Pentagonal orthobicupola, Pentagonal orthobirotunda, Pentagonal orthocupolarotunda, Pentagonal pyramid, Pentagonal rotunda, Platonic solid, Polyhedral skeletal electron pair theory, Polyhedron, Pseudo-deltoidal icositetrahedron, Pseudo-uniform polyhedron, Pyramid (geometry), Regular dodecahedron, Regular icosahedron, Regular polygon, Regular polytope, Rhombicosidodecahedron, Rhombicuboctahedron, Rotunda (geometry), Simplicial polytope, Snub (geometry), Snub disphenoid, Snub polyhedron, Snub square antiprism, Sphenocorona, Sphenomegacorona, Square antiprism, Square cupola, Square gyrobicupola, Square orthobicupola, Square pyramid, Stella (software), Stellated octahedron, Ten of diamonds decahedron, Tetradecahedron, Tetrahedrally diminished dodecahedron, Tetrated dodecahedron, Thomson problem, Toroidal polyhedron, Trapezo-rhombic dodecahedron, Triangular bipyramid, Triangular cupola, Triangular hebesphenorotunda, Triangular orthobicupola, Triangular tiling honeycomb, Triaugmented dodecahedron, Triaugmented hexagonal prism, Triaugmented triangular prism, Triaugmented truncated dodecahedron, Tridiminished icosahedron, Tridiminished rhombicosidodecahedron, Trigonal trapezohedron, Trigyrate rhombicosidodecahedron, Truncated octahedron, Truncated square antiprism, Truncated square trapezohedron, Truncation (geometry), Uniform polytope, Wedge (geometry), Zome, 3-4-6-12 tiling, 4-polytope, 600-cell, 92 (number). Expand index (142 more) »

Amanita basii

Amanita basii is a mushroom of the genus Amanita.

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Amanita flavorubens

Amanita flavorubens, also known as the Yellow American Blusher, is a species of the genus Amanita.

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Antiprism

In geometry, an n-sided antiprism is a polyhedron composed of two parallel copies of some particular n-sided polygon, connected by an alternating band of triangles.

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Archimedean solid

In geometry, an Archimedean solid is one of the 13 solids first enumerated by Archimedes.

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Augment

Augment or augmentation may refer to.

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Augmented dodecahedron

In geometry, the augmented dodecahedron is one of the Johnson solids (J58), consisting of a dodecahedron with a pentagonal pyramid (J2) attached to one of the faces.

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Augmented hexagonal prism

In geometry, the augmented hexagonal prism is one of the Johnson solids (J54).

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Augmented pentagonal prism

In geometry, the augmented pentagonal prism is one of the Johnson solids (J52).

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Augmented sphenocorona

In geometry, the augmented sphenocorona is one of the Johnson solids (J87), and is obtained by adding a square pyramid to one of the square faces of the sphenocorona.

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Augmented triangular prism

In geometry, the augmented triangular prism is one of the Johnson solids (J49).

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Augmented tridiminished icosahedron

In geometry, the augmented tridiminished icosahedron is one of the Johnson solids (J64).

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Augmented truncated cube

In geometry, the augmented truncated cube is one of the Johnson solids (J66).

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Augmented truncated dodecahedron

In geometry, the augmented truncated dodecahedron is one of the Johnson solids (J68).

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Augmented truncated tetrahedron

In geometry, the augmented truncated tetrahedron is one of the Johnson solids (J65).

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Biaugmented pentagonal prism

In geometry, the biaugmented pentagonal prism is one of the Johnson solids (J53).

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Biaugmented triangular prism

In geometry, the biaugmented triangular prism is one of the Johnson solids (J50).

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Biaugmented truncated cube

In geometry, the biaugmented truncated cube is one of the Johnson solids (J67).

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Bicupola (geometry)

In geometry, a bicupola is a solid formed by connecting two cupolae on their bases.

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Bifrustum

An n-agonal bifrustum is a polyhedron composed of three parallel planes of ''n''-agons, with the middle plane largest and usually the top and bottom congruent.

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Bigyrate diminished rhombicosidodecahedron

In geometry, the bigyrate diminished rhombicosidodecahedron is one of the Johnson solids (J79).

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Bilunabirotunda

In geometry, the bilunabirotunda is one of the Johnson solids (J91).

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Bipyramid

An n-gonal bipyramid or dipyramid is a polyhedron formed by joining an n-gonal pyramid and its mirror image base-to-base.

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Birotunda

In geometry, a birotunda is any member of a family of dihedral-symmetric polyhedra, formed from two rotunda adjoined through the largest face.

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Bonnie Stewart

Bonnie Madison Stewart (July 10, 1914 – April 15, 1994) was a professor of mathematics at Michigan State University from 1940 to 1980.

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Catalan solid

In mathematics, a Catalan solid, or Archimedean dual, is a dual polyhedron to an Archimedean solid.

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Convex uniform honeycomb

In geometry, a convex uniform honeycomb is a uniform tessellation which fills three-dimensional Euclidean space with non-overlapping convex uniform polyhedral cells.

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Conway polyhedron notation

In geometry, Conway polyhedron notation, invented by John Horton Conway and promoted by George W. Hart, is used to describe polyhedra based on a seed polyhedron modified by various prefix operations.

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Crossed pentagrammic cupola

In geometry, the crossed pentagrammic cupola is one of the nonconvex Johnson solid isomorphs, being topologically identical to the convex pentagonal cupola.

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Crossed square cupola

In geometry, the crossed square cupola is one of the nonconvex Johnson solid isomorphs, being topologically identical to the convex square cupola.

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Cuboctahedron

In geometry, a cuboctahedron is a polyhedron with 8 triangular faces and 6 square faces.

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Cupola (geometry)

In geometry, a cupola is a solid formed by joining two polygons, one (the base) with twice as many edges as the other, by an alternating band of isosceles triangles and rectangles.

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Decahedron

In geometry, a decahedron is a polyhedron with ten faces.

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Deltahedron

In geometry, a deltahedron (plural deltahedra) is a polyhedron whose faces are all equilateral triangles.

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Diminished rhombic dodecahedron

In geometry, a diminished rhombic dodecahedron is a rhombic dodecahedron with one or more vertices removed.

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Diminished rhombicosidodecahedron

In geometry, the diminished rhombicosidodecahedron is one of the Johnson solids (J76).

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Diminished trapezohedron

In geometry, a diminished trapezohedron is a polyhedron in an infinite set of polyhedra, constructed by removing one of the polar vertices of a trapezohedron and replacing it by a new face (diminishment).

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Disphenocingulum

In geometry, the disphenocingulum is one of the Johnson solids (J90).

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Disphenoid

In geometry, a disphenoid (from Greek sphenoeides, "wedgelike") is a tetrahedron whose four faces are congruent acute-angled triangles.

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Dodecahedron

In geometry, a dodecahedron (Greek δωδεκάεδρον, from δώδεκα dōdeka "twelve" + ἕδρα hédra "base", "seat" or "face") is any polyhedron with twelve flat faces.

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Edge-contracted icosahedron

In geometry, an edge-contracted icosahedron is a polyhedron with 18 triangular faces, 27 edges, and 11 vertices with C2v symmetry, order 4.

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Eldzier Cortor

Eldzier Cortor (January 10, 1916 – November 26, 2015) was an African-American artist and printmaker.

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Elongated bipyramid

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

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Elongated cupola

In geometry, the elongated cupolae are an infinite set of polyhedra, constructed by adjoining an n-gonal cupola to an n-gonal prism.

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Elongated dodecahedron

In geometry, the elongated dodecahedron, extended rhombic dodecahedron, rhombo-hexagonal dodecahedron or hexarhombic dodecahedron is a convex dodecahedron with 8 rhombic and 4 hexagonal faces.

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Elongated gyrobifastigium

In geometry, the elongated gyrobifastigium or gabled rhombohedron is a space-filling octahedron with 4 rectangles and 4 right-angled pentagonal faces.

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Elongated hexagonal bipyramid

In geometry, the elongated hexagonal bipyramid is constructed by elongating a hexagonal bipyramid (by inserting a hexagonal prism between its congruent halves).

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Elongated octahedron

In geometry, an elongated octahedron is a polyhedron with 8 faces (4 triangular, 4 isosceles trapezoidal), 14 edges, and 8 vertices.

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Elongated pentagonal bipyramid

In geometry, the elongated pentagonal bipyramid is one of the Johnson solids (J16).

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Elongated pentagonal cupola

In geometry, the elongated pentagonal cupola is one of the Johnson solids (J20).

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Elongated pentagonal gyrobicupola

In geometry, the elongated pentagonal gyrobicupola is one of the Johnson solids (J39).

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Elongated pentagonal gyrobirotunda

In geometry, the elongated pentagonal gyrobirotunda is one of the Johnson solids (J43).

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Elongated pentagonal gyrocupolarotunda

In geometry, the elongated pentagonal gyrocupolarotunda is one of the Johnson solids (J41).

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Elongated pentagonal orthobicupola

In geometry, the elongated pentagonal orthobicupola is one of the Johnson solids (J38).

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Elongated pentagonal orthobirotunda

In geometry, the elongated pentagonal orthobirotunda is one of the Johnson solids (J42).

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Elongated pentagonal orthocupolarotunda

In geometry, the elongated pentagonal orthocupolarotunda is one of the Johnson solids (J40).

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Elongated pentagonal pyramid

In geometry, the elongated pentagonal pyramid is one of the Johnson solids (J9).

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Elongated pentagonal rotunda

In geometry, the elongated pentagonal rotunda is one of the Johnson solids (J21).

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Elongated pyramid

In geometry, the elongated pyramids are an infinite set of polyhedra, constructed by adjoining an n-gonal pyramid to an n-gonal prism.

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Elongated square bipyramid

In geometry, the elongated square bipyramid (or elongated octahedron) is one of the Johnson solids (J15).

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Elongated square cupola

In geometry, the elongated square cupola is one of the Johnson solids (J19).

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Elongated square gyrobicupola

In geometry, the elongated square gyrobicupola or pseudorhombicuboctahedron is one of the Johnson solids (J37).

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Elongated square pyramid

In geometry, the elongated square pyramid is one of the Johnson solids (J8).

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Elongated triangular bipyramid

In geometry, the elongated triangular bipyramid (or dipyramid) is one of the Johnson solids (J14), convex polyhedra whose faces are regular polygons.

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Elongated triangular cupola

In geometry, the elongated triangular cupola is one of the Johnson solids (J18).

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Elongated triangular gyrobicupola

In geometry, the elongated triangular gyrobicupola is one of the Johnson solids (J36).

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Elongated triangular orthobicupola

In geometry, the elongated triangular orthobicupola is one of the Johnson solids (J35).

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Elongated triangular pyramid

In geometry, the elongated triangular pyramid is one of the Johnson solids (J7).

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Elongated triangular tiling

In geometry, the elongated triangular tiling is a semiregular tiling of the Euclidean plane.

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Elongation

Elongation may refer to.

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Enneahedron

In geometry, an enneahedron (or nonahedron) is a polyhedron with nine faces.

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Geodesic dome

A geodesic dome is a hemispherical thin-shell structure (lattice-shell) based on a geodesic polyhedron.

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Gyrate bidiminished rhombicosidodecahedron

In geometry, the gyrate bidiminished rhombicosidodecahedron is one of the Johnson solids (J82).

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Gyrate rhombicosidodecahedron

In geometry, the gyrate rhombicosidodecahedron is one of the Johnson solids (J72).

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Gyrobifastigium

In geometry, the gyrobifastigium is the 26th Johnson solid (J26).

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Gyroelongated bicupola

In geometry, the gyroelongated bicupolae are an infinite sets of polyhedra, constructed by adjoining two n-gonal cupolas to an n-gonal Antiprism.

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Gyroelongated bipyramid

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 cupola

In geometry, the gyroelongated cupolae are an infinite set of polyhedra, constructed by adjoining an n-gonal cupola to an n-gonal antiprism.

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Gyroelongated pentagonal bicupola

In geometry, the gyroelongated pentagonal bicupola is one of the Johnson solids (J46).

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Gyroelongated pentagonal birotunda

In geometry, the gyroelongated pentagonal birotunda is one of the Johnson solids (J48).

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Gyroelongated pentagonal cupola

In geometry, the gyroelongated pentagonal cupola is one of the Johnson solids (J24).

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Gyroelongated pentagonal cupolarotunda

In geometry, the gyroelongated pentagonal cupolarotunda is one of the Johnson solids (J47).

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Gyroelongated pentagonal pyramid

In geometry, the gyroelongated pentagonal pyramid is one of the Johnson solids (J11).

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Gyroelongated pentagonal rotunda

In geometry, the gyroelongated pentagonal rotunda is one of the Johnson solids (J25).

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Gyroelongated pyramid

In geometry, the gyroelongated pyramids (also called augmented antiprisms) are an infinite set of polyhedra, constructed by adjoining an n-gonal pyramid to an n-gonal antiprism.

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Gyroelongated square bicupola

In geometry, the gyroelongated square bicupola is one of the Johnson solids (J45).

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Gyroelongated square bipyramid

In geometry, the gyroelongated square bipyramid or heccaidecadeltahedron is one of the Johnson solids (J17).

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Gyroelongated square cupola

In geometry, the gyroelongated square cupola is one of the Johnson solids (J23).

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Gyroelongated square pyramid

In geometry, the gyroelongated square pyramid is one of the Johnson solids (J10).

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Gyroelongated triangular bicupola

In geometry, the gyroelongated triangular bicupola is one of the Johnson solids (J44).

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Gyroelongated triangular cupola

In geometry, the gyroelongated triangular cupola is one of the Johnson solids (J22).

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Hebesphenomegacorona

In geometry, the hebesphenomegacorona is one of the Johnson solids (J89).

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Hendecahedron

A hendecahedron (or undecahedron) is a polyhedron with 11 faces.

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Hexagon

In geometry, a hexagon (from Greek ἕξ hex, "six" and γωνία, gonía, "corner, angle") is a six-sided polygon or 6-gon.

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Hexapentakis truncated icosahedron

The hexapentakis truncated icosahedron is a convex polyhedron constructed as an augmented truncated icosahedron.

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Icosahedral honeycomb

The icosahedral honeycomb is one of four compact regular space-filling tessellations (or honeycombs) in hyperbolic 3-space.

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Icosahedron

In geometry, an icosahedron is a polyhedron with 20 faces.

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Icosidodecahedron

In geometry, an icosidodecahedron is a polyhedron with twenty (icosi) triangular faces and twelve (dodeca) pentagonal faces.

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J73 (disambiguation)

J73 could refer to.

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Johnson (disambiguation)

Johnson is a common surname in English.

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Jovo

JOVO Click 'N Construct is a brand name of a construction toy system invented by Josef Volgger and produced by JOVO International of Helsinge, Denmark.

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List of convex uniform tilings

This table shows the 11 convex uniform tilings (regular and semiregular) of the Euclidean plane, and their dual tilings.

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List of geometry topics

This is a list of geometry topics, by Wikipedia page.

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List of Johnson solids

In geometry, a Johnson solid is a strictly convex polyhedron, each face of which is a regular polygon, but which is not uniform, i.e., not a Platonic solid, Archimedean solid, prism or antiprism.

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List of polygons, polyhedra and polytopes

A polytope is a geometric object with flat sides, which exists in any general number of dimensions.

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List of small polyhedra by vertex count

In geometry, a polyhedron is a solid in three dimensions with flat faces and straight edges.

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List of University of Toronto people

The following is a list of notable persons affiliated with the University of Toronto, including alumni, chancellors, presidents, and current and former faculty members.

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Metabiaugmented dodecahedron

In geometry, the metabiaugmented dodecahedron is one of the Johnson solids (J60).

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Metabiaugmented hexagonal prism

In geometry, the metabiaugmented hexagonal prism is one of the Johnson solids (J56).

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Metabiaugmented truncated dodecahedron

In geometry, the metabiaugmented truncated dodecahedron is one of the Johnson solids (J70).

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Metabidiminished icosahedron

In geometry, the metabidiminished icosahedron is one of the Johnson solids (J62).

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Metabidiminished rhombicosidodecahedron

In geometry, the metabidiminished rhombicosidodecahedron is one of the Johnson solids (J81).

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Metabigyrate rhombicosidodecahedron

In geometry, the metabigyrate rhombicosidodecahedron is one of the Johnson solids (J74).

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Metagyrate diminished rhombicosidodecahedron

In geometry, the metagyrate diminished rhombicosidodecahedron is one of the Johnson solids (J78).

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Near-miss Johnson solid

In geometry, a near-miss Johnson solid is a strictly convex polyhedron whose faces are close to being regular polygons but some or all of which are not precisely regular.

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Norman Johnson (mathematician)

Norman Woodason Johnson (November 12, 1930 – July 13, 2017) was a mathematician, previously at Wheaton College, Norton, Massachusetts.

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Octadecahedron

In geometry, an octadecahedron (or octakaidecahedron) is a polyhedron with 18 faces.

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Octahedron

In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.

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Parabiaugmented dodecahedron

In geometry, the parabiaugmented dodecahedron is one of the Johnson solids (J59).

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Parabiaugmented hexagonal prism

In geometry, the parabiaugmented hexagonal prism is one of the Johnson solids (J55).

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Parabiaugmented truncated dodecahedron

In geometry, the parabiaugmented truncated dodecahedron is one of the Johnson solids (J69).

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Parabidiminished rhombicosidodecahedron

In geometry, the parabidiminished rhombicosidodecahedron is one of the Johnson solids (J80).

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Parabigyrate rhombicosidodecahedron

In geometry, the parabigyrate rhombicosidodecahedron is one of the Johnson solids (J73).

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Paragyrate diminished rhombicosidodecahedron

In geometry, the paragyrate diminished rhombicosidodecahedron is one of the Johnson solids (J77).

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Pentagonal antiprism

In geometry, the pentagonal antiprism is the third in an infinite set of antiprisms formed by an even-numbered sequence of triangle sides closed by two polygon caps.

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Pentagonal bifrustum

The pentagonal bifrustum or truncated pentagonal bipyramid is the third in an infinite series of bifrustum polyhedra.

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Pentagonal bipyramid

In geometry, the pentagonal bipyramid (or dipyramid) is third of the infinite set of face-transitive bipyramids.

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Pentagonal cupola

In geometry, the pentagonal cupola is one of the Johnson solids (J5).

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Pentagonal gyrobicupola

In geometry, the pentagonal gyrobicupola is one of the Johnson solids (J31).

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Pentagonal gyrocupolarotunda

In geometry, the pentagonal gyrocupolarotunda is one of the Johnson solids (J33).

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Pentagonal orthobicupola

In geometry, the pentagonal orthobicupola is one of the Johnson solids (J30).

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Pentagonal orthobirotunda

In geometry, the pentagonal orthobirotunda is one of the Johnson solids (J34).

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Pentagonal orthocupolarotunda

In geometry, the pentagonal orthocupolarotunda is one of the Johnson solids (J32).

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Pentagonal pyramid

In geometry, a pentagonal pyramid is a pyramid with a pentagonal base upon which are erected five triangular faces that meet at a point (the vertex).

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Pentagonal rotunda

In geometry, the pentagonal rotunda is one of the Johnson solids (J6).

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Platonic solid

In three-dimensional space, a Platonic solid is a regular, convex polyhedron.

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Polyhedral skeletal electron pair theory

In chemistry the polyhedral skeletal electron pair theory (PSEPT) provides electron counting rules useful for predicting the structures of clusters such as borane and carborane clusters.

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Polyhedron

In geometry, a polyhedron (plural polyhedra or polyhedrons) is a solid in three dimensions with flat polygonal faces, straight edges and sharp corners or vertices.

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Pseudo-deltoidal icositetrahedron

The pseudo-deltoidal icositetrahedron is a convex polyhedron with 24 kites as its faces.

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Pseudo-uniform polyhedron

A pseudo-uniform polyhedron is a polyhedron which has regular polygons as faces and has the same vertex configuration at all vertices but is not vertex-transitive: it is not true that for any two vertices, there exists a symmetry of the polyhedron mapping the first isometrically onto the second.

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Pyramid (geometry)

In geometry, a pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex.

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Regular dodecahedron

A regular dodecahedron or pentagonal dodecahedron is a dodecahedron that is regular, which is composed of twelve regular pentagonal faces, three meeting at each vertex.

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Regular icosahedron

In geometry, a regular icosahedron is a convex polyhedron with 20 faces, 30 edges and 12 vertices.

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Regular polygon

In Euclidean geometry, a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length).

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Regular polytope

In mathematics, a regular polytope is a polytope whose symmetry group acts transitively on its flags, thus giving it the highest degree of symmetry.

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Rhombicosidodecahedron

In geometry, the rhombicosidodecahedron, or small rhombicosidodecahedron, is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed of two or more types of regular polygon faces.

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Rhombicuboctahedron

In geometry, the rhombicuboctahedron, or small rhombicuboctahedron, is an Archimedean solid with eight triangular and eighteen square faces.

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Rotunda (geometry)

In geometry, a rotunda is any member of a family of dihedral-symmetric polyhedra.

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Simplicial polytope

In geometry, a simplicial polytope is a polytope whose facets are all simplices.

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Snub (geometry)

In geometry, a snub is an operation applied to a polyhedron.

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Snub disphenoid

In geometry, the snub disphenoid, Siamese dodecahedron, triangular dodecahedron or dodecadeltahedron is a three-dimensional convex polyhedron with twelve equilateral triangles as its faces.

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Snub polyhedron

A snub polyhedron is a polyhedron obtained by alternating a corresponding omnitruncated or truncated polyhedron, depending on the definition.

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Snub square antiprism

In geometry, the snub square antiprism is one of the Johnson solids (J85).

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Sphenocorona

In geometry, the sphenocorona is one of the Johnson solids (J86).

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Sphenomegacorona

In geometry, the sphenomegacorona is one of the Johnson solids (J88).

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Square antiprism

In geometry, the square antiprism is the second in an infinite set of antiprisms formed by an even-numbered sequence of triangle sides closed by two polygon caps.

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Square cupola

In geometry, the square cupola, sometimes called lesser dome, is one of the Johnson solids (J4).

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Square gyrobicupola

In geometry, the square gyrobicupola is one of the Johnson solids (J29).

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Square orthobicupola

In geometry, the square orthobicupola is one of the Johnson solids (J28).

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Square pyramid

In geometry, a square pyramid is a pyramid having a square base.

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Stella (software)

Stella, a computer program available in three versions (Great Stella, Small Stella and Stella4D), was created by Robert Webb of Australia.

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Stellated octahedron

The stellated octahedron is the only stellation of the octahedron.

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Ten of diamonds decahedron

In geometry, the ten-of-diamonds decahedron is a space-filling polyhedron with 10 faces, 2 opposite rhombi with orthogonal major axes, connected by 8 identical isosceles triangle faces.

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Tetradecahedron

A tetradecahedron with ''D2d'' symmetry, existing in the Weaire–Phelan structure A tetradecahedron is a polyhedron with 14 faces.

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Tetrahedrally diminished dodecahedron

In geometry, a tetrahedrally diminished dodecahedron (also tetrahedrally stellated icosahedron) is a topologically self-dual polyhedron made of 16 vertices, 30 edges, and 16 faces (4 equilateral triangles and 12 identical quadrilaterals).

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Tetrated dodecahedron

The tetrated dodecahedron is a near-miss Johnson solid.

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Thomson problem

The objective of the Thomson problem is to determine the minimum electrostatic potential energy configuration of N electrons constrained to the surface of a unit sphere that repel each other with a force given by Coulomb's law.

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Toroidal polyhedron

In geometry, a toroidal polyhedron is a polyhedron which is also a toroid (a g-holed torus), having a topological genus of 1 or greater.

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Trapezo-rhombic dodecahedron

In geometry, the trapezo-rhombic dodecahedron or rhombo-trapezoidal dodecahedron is a convex dodecahedron with 6 rhombic and 6 trapezoidal faces.

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Triangular bipyramid

In geometry, the triangular bipyramid (or dipyramid) is a type of hexahedron, being the first in the infinite set of face-transitive bipyramids.

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Triangular cupola

In geometry, the triangular cupola is one of the Johnson solids (J3).

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Triangular hebesphenorotunda

In geometry, the triangular hebesphenorotunda is one of the Johnson solids (J92).

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Triangular orthobicupola

In geometry, the triangular orthobicupola is one of the Johnson solids (J27).

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Triangular tiling honeycomb

The triangular tiling honeycomb is one of 11 paracompact regular space-filling tessellations (or honeycombs) in hyperbolic 3-space.

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Triaugmented dodecahedron

In geometry, the triaugmented dodecahedron is one of the Johnson solids (J61).

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Triaugmented hexagonal prism

In geometry, the triaugmented hexagonal prism is one of the Johnson solids (J57).

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Triaugmented triangular prism

In geometry, the triaugmented triangular prism or tetracaidecadeltahedron is one of the Johnson solids (J51).

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Triaugmented truncated dodecahedron

In geometry, the triaugmented truncated dodecahedron is one of the Johnson solids (J71); of them, it has the greatest volume in proportion to the cube of the side length.

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Tridiminished icosahedron

In geometry, the tridiminished icosahedron is one of the Johnson solids (J63).

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Tridiminished rhombicosidodecahedron

In geometry, the tridiminished rhombicosidodecahedron is one of the Johnson solids (J83).

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Trigonal trapezohedron

In geometry, a trigonal trapezohedron or trigonal deltohedron is a three-dimensional figure formed by six congruent rhombi.

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Trigyrate rhombicosidodecahedron

In geometry, the trigyrate rhombicosidodecahedron is one of the Johnson solids (J75).

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Truncated octahedron

In geometry, the truncated octahedron is an Archimedean solid.

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Truncated square antiprism

The truncated square antiprism one in an infinite series of truncated antiprisms, constructed as a truncated square antiprism.

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Truncated square trapezohedron

The square truncated trapezohedron is the second in an infinite series of truncated trapezohedron polyhedra.

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Truncation (geometry)

In geometry, a truncation is an operation in any dimension that cuts polytope vertices, creating a new facet in place of each vertex.

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Uniform polytope

A uniform polytope of dimension three or higher is a vertex-transitive polytope bounded by uniform facets.

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Wedge (geometry)

In solid geometry, a wedge is a polyhedron defined by two triangles and three trapezoid faces.

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Zome

The term zome is used in several related senses.

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3-4-6-12 tiling

In geometry of the Euclidean plane, the 3-4-6-12 tiling is one of 20 2-uniform tilings of the Euclidean plane by regular polygons, containing regular triangles, squares, hexagons and dodecagons, arranged in two vertex configuration: 3.4.6.4 and 4.6.12.

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4-polytope

In geometry, a 4-polytope (sometimes also called a polychoron, polycell, or polyhedroid) is a four-dimensional polytope.

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600-cell

In geometry, the 600-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol.

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92 (number)

92 (ninety-two) is the natural number following 91 and preceding 93.

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Augmentation (geometry), Augmention (geometry), Bianticupolae, Diminishment (geometry), Elongated polyhedron, Elongation (geometry), Face-regular polyhedron, Gyrobianticupola, Gyrobianticupolae, Gyroelongated, Gyroelongation, Johnson polyhedron, Johnson solid honeycomb, Johnson solid isomorph, Johnson solids, Jonson solid, Orthobianticupolae.

References

[1] https://en.wikipedia.org/wiki/Johnson_solid

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