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Pentagonal antiprism

Index 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. [1]

22 relations: Alternation (geometry), Antiprism, Dodecahedron, Geometry, Grand antiprism, Icosahedron, Isosceles triangle, Johnson solid, Metabidiminished icosahedron, Pentagon, Pentagonal prism, Pentagonal pyramid, Polytope, Regular icosahedron, Semiregular polyhedron, Snub square antiprism, Triangle, Truncation (geometry), Vertex arrangement, Vertex configuration, VRML, 600-cell.

Alternation (geometry)

In geometry, an alternation or partial truncation, is an operation on a polygon, polyhedron, tiling, or higher dimensional polytope that removes alternate vertices.

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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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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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Geometry

Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.

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Grand antiprism

In geometry, the grand antiprism or pentagonal double antiprismoid is a uniform 4-polytope (4-dimensional uniform polytope) bounded by 320 cells: 20 pentagonal antiprisms, and 300 tetrahedra.

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Icosahedron

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

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Isosceles triangle

In geometry, an isosceles triangle is a triangle that has two sides of equal length.

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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.

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Metabidiminished icosahedron

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

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Pentagon

In geometry, a pentagon (from the Greek πέντε pente and γωνία gonia, meaning five and angle) is any five-sided polygon or 5-gon.

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Pentagonal prism

In geometry, the pentagonal prism is a prism with a pentagonal base.

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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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Polytope

In elementary geometry, a polytope is a geometric object with "flat" sides.

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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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Semiregular polyhedron

The term semiregular polyhedron (or semiregular polytope) is used variously by different authors.

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Snub square antiprism

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

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Triangle

A triangle is a polygon with three edges and three vertices.

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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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Vertex arrangement

In geometry, a vertex arrangement is a set of points in space described by their relative positions.

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Vertex configuration

In geometry, a vertex configuration by Walter Steurer, Sofia Deloudi, (2009) pp.

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VRML

VRML (Virtual Reality Modeling Language, pronounced vermal or by its initials, originally—before 1995—known as the Virtual Reality Markup Language) is a standard file format for representing 3-dimensional (3D) interactive vector graphics, designed particularly with the World Wide Web in mind.

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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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Redirects here:

Crossed pentagonal antiprism, Pap (geometry), Parabidiminished icosahedron, Pentagonal anti-prism.

References

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

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