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Regular icosahedron and Uniform polyhedron compound

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Regular icosahedron and Uniform polyhedron compound

Regular icosahedron vs. Uniform polyhedron compound

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

Similarities between Regular icosahedron and Uniform polyhedron compound

Regular icosahedron and Uniform polyhedron compound have 17 things in common (in Unionpedia): Compound of five octahedra, Compound of two icosahedra, Dihedral symmetry in three dimensions, Great dodecahedron, Great icosahedron, Icosahedral symmetry, Icosahedron, Octahedron, Pentagonal antiprism, Polyhedron, Polytope compound, Small stellated dodecahedron, Snub cube, Snub dodecahedron, Symmetry group, Tetrahedral symmetry, Tetrahedron.

Compound of five octahedra

The compound of five octahedra is one of the five regular polyhedron compounds.

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Compound of two icosahedra

This uniform polyhedron compound is a composition of 2 icosahedra.

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Dihedral symmetry in three dimensions

In geometry, dihedral symmetry in three dimensions is one of three infinite sequences of point groups in three dimensions which have a symmetry group that as abstract group is a dihedral group Dihn (n ≥ 2).

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Great dodecahedron

In geometry, the great dodecahedron is a Kepler–Poinsot polyhedron, with Schläfli symbol and Coxeter–Dynkin diagram of.

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Great icosahedron

In geometry, the great icosahedron is one of four Kepler-Poinsot polyhedra (nonconvex regular polyhedra), with Schläfli symbol and Coxeter-Dynkin diagram of.

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Icosahedral symmetry

A regular icosahedron has 60 rotational (or orientation-preserving) symmetries, and a symmetry order of 120 including transformations that combine a reflection and a rotation.

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Icosahedron

In geometry, an icosahedron is a polyhedron with 20 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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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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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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Polytope compound

A polyhedral compound is a figure that is composed of several polyhedra sharing a common centre.

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Small stellated dodecahedron

In geometry, the small stellated dodecahedron is a Kepler-Poinsot polyhedron, named by Arthur Cayley, and with Schläfli symbol.

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Snub cube

In geometry, the snub cube, or snub cuboctahedron, is an Archimedean solid with 38 faces: 6 squares and 32 equilateral triangles.

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Snub dodecahedron

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

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Symmetry group

In group theory, the symmetry group of an object (image, signal, etc.) is the group of all transformations under which the object is invariant with composition as the group operation.

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Tetrahedral symmetry

A regular tetrahedron, an example of a solid with full tetrahedral symmetry A regular tetrahedron has 12 rotational (or orientation-preserving) symmetries, and a symmetry order of 24 including transformations that combine a reflection and a rotation.

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Tetrahedron

In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners.

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The list above answers the following questions

Regular icosahedron and Uniform polyhedron compound Comparison

Regular icosahedron has 163 relations, while Uniform polyhedron compound has 124. As they have in common 17, the Jaccard index is 5.92% = 17 / (163 + 124).

References

This article shows the relationship between Regular icosahedron and Uniform polyhedron compound. To access each article from which the information was extracted, please visit:

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