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Regular icosahedron and Truncation (geometry)

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

Difference between Regular icosahedron and Truncation (geometry)

Regular icosahedron vs. Truncation (geometry)

In geometry, a regular icosahedron is a convex polyhedron with 20 faces, 30 edges and 12 vertices. In geometry, a truncation is an operation in any dimension that cuts polytope vertices, creating a new facet in place of each vertex.

Similarities between Regular icosahedron and Truncation (geometry)

Regular icosahedron and Truncation (geometry) have 16 things in common (in Unionpedia): Conway polyhedron notation, Coxeter group, Coxeter–Dynkin diagram, Dual polyhedron, Facet (geometry), Geometry, Icosahedron, Johnson solid, Octahedron, Platonic solid, Polytope, Regular polyhedron, Schläfli symbol, Snub cube, Tetrahedron, Tridiminished icosahedron.

Conway polyhedron notation

In geometry, Conway polyhedron notation, invented by John Horton Conway and promoted by George W. Hart, is used to describe polyhedra based on a seed polyhedron modified by various prefix operations.

Conway polyhedron notation and Regular icosahedron · Conway polyhedron notation and Truncation (geometry) · See more »

Coxeter group

In mathematics, a Coxeter group, named after H. S. M. Coxeter, is an abstract group that admits a formal description in terms of reflections (or kaleidoscopic mirrors).

Coxeter group and Regular icosahedron · Coxeter group and Truncation (geometry) · See more »

Coxeter–Dynkin diagram

In geometry, a Coxeter–Dynkin diagram (or Coxeter diagram, Coxeter graph) is a graph with numerically labeled edges (called branches) representing the spatial relations between a collection of mirrors (or reflecting hyperplanes).

Coxeter–Dynkin diagram and Regular icosahedron · Coxeter–Dynkin diagram and Truncation (geometry) · See more »

Dual polyhedron

In geometry, any polyhedron is associated with a second dual figure, where the vertices of one correspond to the faces of the other and the edges between pairs of vertices of one correspond to the edges between pairs of faces of the other.

Dual polyhedron and Regular icosahedron · Dual polyhedron and Truncation (geometry) · See more »

Facet (geometry)

In geometry, a facet is a feature of a polyhedron, polytope, or related geometric structure, generally of dimension one less than the structure itself.

Facet (geometry) and Regular icosahedron · Facet (geometry) and Truncation (geometry) · See more »

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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Icosahedron

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

Icosahedron and Regular icosahedron · Icosahedron and Truncation (geometry) · See more »

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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Octahedron

In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.

Octahedron and Regular icosahedron · Octahedron and Truncation (geometry) · See more »

Platonic solid

In three-dimensional space, a Platonic solid is a regular, convex polyhedron.

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Polytope

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

Polytope and Regular icosahedron · Polytope and Truncation (geometry) · See more »

Regular polyhedron

A regular polyhedron is a polyhedron whose symmetry group acts transitively on its flags.

Regular icosahedron and Regular polyhedron · Regular polyhedron and Truncation (geometry) · See more »

Schläfli symbol

In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.

Regular icosahedron and Schläfli symbol · Schläfli symbol and Truncation (geometry) · See more »

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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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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Tridiminished icosahedron

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

Regular icosahedron and Tridiminished icosahedron · Tridiminished icosahedron and Truncation (geometry) · See more »

The list above answers the following questions

Regular icosahedron and Truncation (geometry) Comparison

Regular icosahedron has 163 relations, while Truncation (geometry) has 55. As they have in common 16, the Jaccard index is 7.34% = 16 / (163 + 55).

References

This article shows the relationship between Regular icosahedron and Truncation (geometry). To access each article from which the information was extracted, please visit:

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