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Regular 4-polytope and Regular icosahedron

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

Difference between Regular 4-polytope and Regular icosahedron

Regular 4-polytope vs. Regular icosahedron

In mathematics, a regular 4-polytope is a regular four-dimensional polytope. In geometry, a regular icosahedron is a convex polyhedron with 20 faces, 30 edges and 12 vertices.

Similarities between Regular 4-polytope and Regular icosahedron

Regular 4-polytope and Regular icosahedron have 22 things in common (in Unionpedia): Coxeter group, Coxeter–Dynkin diagram, Dihedral angle, Dodecahedron, Dual polyhedron, Face (geometry), Great dodecahedron, Great icosahedron, Icosahedral 120-cell, Kepler–Poinsot polyhedron, Octahedron, Orthographic projection, Platonic solid, Regular polyhedron, Schläfli symbol, Small stellated dodecahedron, Stellation, Stereographic projection, Tetrahedron, Vertex arrangement, Vertex figure, 4-polytope.

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 4-polytope · Coxeter group and Regular icosahedron · 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 4-polytope · Coxeter–Dynkin diagram and Regular icosahedron · See more »

Dihedral angle

A dihedral angle is the angle between two intersecting planes.

Dihedral angle and Regular 4-polytope · Dihedral angle and Regular icosahedron · See more »

Dodecahedron

In geometry, a dodecahedron (Greek δωδεκάεδρον, from δώδεκα dōdeka "twelve" + ἕδρα hédra "base", "seat" or "face") is any polyhedron with twelve flat faces.

Dodecahedron and Regular 4-polytope · Dodecahedron and Regular icosahedron · 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 4-polytope · Dual polyhedron and Regular icosahedron · See more »

Face (geometry)

In solid geometry, a face is a flat (planar) surface that forms part of the boundary of a solid object; a three-dimensional solid bounded exclusively by flat faces is a polyhedron.

Face (geometry) and Regular 4-polytope · Face (geometry) and Regular icosahedron · See more »

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.

Great icosahedron and Regular 4-polytope · Great icosahedron and Regular icosahedron · See more »

Icosahedral 120-cell

In geometry, the icosahedral 120-cell, polyicosahedron, faceted 600-cell or icosaplex is a regular star 4-polytope with Schläfli symbol.

Icosahedral 120-cell and Regular 4-polytope · Icosahedral 120-cell and Regular icosahedron · See more »

Kepler–Poinsot polyhedron

In geometry, a Kepler–Poinsot polyhedron is any of four regular star polyhedra.

Kepler–Poinsot polyhedron and Regular 4-polytope · Kepler–Poinsot polyhedron and Regular icosahedron · See more »

Octahedron

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

Octahedron and Regular 4-polytope · Octahedron and Regular icosahedron · See more »

Orthographic projection

Orthographic projection (sometimes orthogonal projection), is a means of representing three-dimensional objects in two dimensions.

Orthographic projection and Regular 4-polytope · Orthographic projection and Regular icosahedron · See more »

Platonic solid

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

Platonic solid and Regular 4-polytope · Platonic solid and Regular icosahedron · See more »

Regular polyhedron

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

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Schläfli symbol

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

Regular 4-polytope and Schläfli symbol · Regular icosahedron and Schläfli symbol · See more »

Small stellated dodecahedron

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

Regular 4-polytope and Small stellated dodecahedron · Regular icosahedron and Small stellated dodecahedron · See more »

Stellation

In geometry, stellation is the process of extending a polygon in two dimensions, polyhedron in three dimensions, or, in general, a polytope in n dimensions to form a new figure.

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Stereographic projection

In geometry, the stereographic projection is a particular mapping (function) that projects a sphere onto a plane.

Regular 4-polytope and Stereographic projection · Regular icosahedron and Stereographic projection · See more »

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.

Regular 4-polytope and Tetrahedron · Regular icosahedron and Tetrahedron · See more »

Vertex arrangement

In geometry, a vertex arrangement is a set of points in space described by their relative positions.

Regular 4-polytope and Vertex arrangement · Regular icosahedron and Vertex arrangement · See more »

Vertex figure

In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off.

Regular 4-polytope and Vertex figure · Regular icosahedron and Vertex figure · See more »

4-polytope

In geometry, a 4-polytope (sometimes also called a polychoron, polycell, or polyhedroid) is a four-dimensional polytope.

4-polytope and Regular 4-polytope · 4-polytope and Regular icosahedron · See more »

The list above answers the following questions

Regular 4-polytope and Regular icosahedron Comparison

Regular 4-polytope has 87 relations, while Regular icosahedron has 163. As they have in common 22, the Jaccard index is 8.80% = 22 / (87 + 163).

References

This article shows the relationship between Regular 4-polytope and Regular icosahedron. To access each article from which the information was extracted, please visit:

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