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12 relations: Compound of cubes, Compound of octahedra, Compound of three octahedra, Compound of three tetrahedra, Hendecagrammic prism, List of mathematical shapes, List of polygons, polyhedra and polytopes, List of regular polytopes and compounds, Prismatic compound of antiprisms with rotational freedom, Skew polygon, Stars (M. C. Escher), Uniform polyhedron compound.
Compound of cubes
There is one regular compound of cubes.
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Compound of octahedra
A compound of octahedra may be.
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Compound of three octahedra
In mathematics, the compound of three octahedra or octahedron 3-compound is a polyhedral compound formed from three regular octahedra, all sharing a common center but rotated with respect to each other.
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Compound of three tetrahedra
In geometry, a compound of three tetrahedra can be constructed by three tetrahedra rotated by 60 degree turns along an axis of the middle of an edge.
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Hendecagrammic prism
In geometry, a hendecagrammic prism is a star polyhedron made from two identical regular hendecagrams connected by squares.
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List of mathematical shapes
Following is a list of some mathematically well-defined shapes.
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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 regular polytopes and compounds
This page lists the regular polytopes and regular polytope compounds in Euclidean, spherical and hyperbolic spaces.
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Prismatic compound of antiprisms with rotational freedom
Each member of this infinite family of uniform polyhedron compounds is a symmetric arrangement of antiprisms sharing a common axis of rotational symmetry.
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Skew polygon
In geometry, a skew polygon is a polygon whose vertices are not all coplanar.
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Stars (M. C. Escher)
Stars is a wood engraving print created by the Dutch artist M. C. Escher in 1948, depicting two chameleons in a polyhedral cage floating through space.
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Uniform polyhedron compound
A uniform polyhedron compound is a polyhedral compound whose constituents are identical (although possibly enantiomorphous) uniform polyhedra, in an arrangement that is also uniform: the symmetry group of the compound acts transitively on the compound's vertices.
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Compound of three triangular antiprisms, Compound of two cubes, Compound of two hexagonal antiprisms, Compound of two octahedra, Compound of two pentagonal antiprisms, Compound of two square antiprisms, Compound of two triangular antiprisms.
References
[1] https://en.wikipedia.org/wiki/Prismatic_compound_of_antiprisms
