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Metabidiminished icosahedron

Index Metabidiminished icosahedron

In geometry, the metabidiminished icosahedron is one of the Johnson solids (J62). [1]

10 relations: Convex set, Geometry, Johnson solid, Pentagon, Pentagonal antiprism, Pentagonal pyramid, Regular icosahedron, Triangle, Triaugmented dodecahedron, Tridiminished icosahedron.

Convex set

In convex geometry, a convex set is a subset of an affine space that is closed under convex combinations.

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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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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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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 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 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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Regular icosahedron

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

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Triangle

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

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Triaugmented dodecahedron

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

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Tridiminished icosahedron

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

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References

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

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