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Regular icosahedron and Stellation

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

Difference between Regular icosahedron and Stellation

Regular icosahedron vs. Stellation

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

Similarities between Regular icosahedron and Stellation

Regular icosahedron and Stellation have 24 things in common (in Unionpedia): Chirality (mathematics), Digon, Dimension, Dodecahedron, Dual polyhedron, Facet (geometry), Faceting, Geometry, Great dodecahedron, Great icosahedron, Icosahedron, Kepler–Poinsot polyhedron, Octahedron, Polyhedron, Polytope, Polytope compound, Regular 4-polytope, Rhombic triacontahedron, Schläfli symbol, Small stellated dodecahedron, Stellation diagram, Tetrahedron, The Fifty-Nine Icosahedra, 4-polytope.

Chirality (mathematics)

In geometry, a figure is chiral (and said to have chirality) if it is not identical to its mirror image, or, more precisely, if it cannot be mapped to its mirror image by rotations and translations alone.

Chirality (mathematics) and Regular icosahedron · Chirality (mathematics) and Stellation · See more »

Digon

In geometry, a digon is a polygon with two sides (edges) and two vertices.

Digon and Regular icosahedron · Digon and Stellation · See more »

Dimension

In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it.

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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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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.

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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.

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Faceting

Stella octangula as a faceting of the cube In geometry, faceting (also spelled facetting) is the process of removing parts of a polygon, polyhedron or polytope, without creating any new vertices.

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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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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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Icosahedron

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

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Kepler–Poinsot polyhedron

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

Kepler–Poinsot polyhedron and Regular icosahedron · Kepler–Poinsot polyhedron and Stellation · See more »

Octahedron

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

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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

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

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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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Regular 4-polytope

In mathematics, a regular 4-polytope is a regular four-dimensional polytope.

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

Rhombic triacontahedron

In geometry, the rhombic triacontahedron, sometimes simply called the triacontahedron as it is the most common thirty-faced polyhedron, is a convex polyhedron with 30 rhombic faces.

Regular icosahedron and Rhombic triacontahedron · Rhombic triacontahedron and Stellation · 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 Stellation · See more »

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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Stellation diagram

In geometry, a stellation diagram or stellation pattern is a two-dimensional diagram in the plane of some face of a polyhedron, showing lines where other face planes intersect with this one.

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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 Fifty-Nine Icosahedra

The Fifty-Nine Icosahedra is a book written and illustrated by H. S. M. Coxeter, P. Du Val, H. T. Flather and J. F. Petrie.

Regular icosahedron and The Fifty-Nine Icosahedra · Stellation and The Fifty-Nine Icosahedra · See more »

4-polytope

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

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The list above answers the following questions

Regular icosahedron and Stellation Comparison

Regular icosahedron has 163 relations, while Stellation has 68. As they have in common 24, the Jaccard index is 10.39% = 24 / (163 + 68).

References

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

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