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11 relations: Augmented dodecahedron, Convex set, Dodecahedron, Geometry, Johnson solid, Parabiaugmented dodecahedron, Pentagon, Pentagonal pyramid, Pentakis dodecahedron, Triangle, Triaugmented dodecahedron.
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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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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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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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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Parabiaugmented dodecahedron
In geometry, the parabiaugmented dodecahedron is one of the Johnson solids (J59).
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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 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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Pentakis dodecahedron
In geometry, a pentakis dodecahedron or kisdodecahedron is a dodecahedron with a pentagonal pyramid covering each face; that is, it is the Kleetope of the dodecahedron.
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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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References
[1] https://en.wikipedia.org/wiki/Metabiaugmented_dodecahedron
