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24-cell and Snub 24-cell

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

Difference between 24-cell and Snub 24-cell

24-cell vs. Snub 24-cell

In geometry, the 24-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol. In geometry, the snub 24-cell or snub disicositetrachoron is a convex uniform 4-polytope composed of 120 regular tetrahedral and 24 icosahedral cells.

Similarities between 24-cell and Snub 24-cell

24-cell and Snub 24-cell have 17 things in common (in Unionpedia): Convex hull, Convex polytope, Cube, Face (geometry), Geometry, Golden ratio, Harold Scott MacDonald Coxeter, Icosahedron, Isogonal figure, Net (polyhedron), Platonic solid, Schläfli symbol, Truncated 24-cells, Uniform 4-polytope, Vertex figure, 120-cell, 24-cell.

Convex hull

In mathematics, the convex hull or convex envelope or convex closure of a set X of points in the Euclidean plane or in a Euclidean space (or, more generally, in an affine space over the reals) is the smallest convex set that contains X. For instance, when X is a bounded subset of the plane, the convex hull may be visualized as the shape enclosed by a rubber band stretched around X., p. 3.

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Convex polytope

A convex polytope is a special case of a polytope, having the additional property that it is also a convex set of points in the n-dimensional space Rn.

24-cell and Convex polytope · Convex polytope and Snub 24-cell · See more »

Cube

In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex.

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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.

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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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Golden ratio

In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities.

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Harold Scott MacDonald Coxeter

Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.

24-cell and Harold Scott MacDonald Coxeter · Harold Scott MacDonald Coxeter and Snub 24-cell · See more »

Icosahedron

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

24-cell and Icosahedron · Icosahedron and Snub 24-cell · See more »

Isogonal figure

In geometry, a polytope (a polygon, polyhedron or tiling, for example) is isogonal or vertex-transitive if all its vertices are equivalent under the symmetries of the figure.

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Net (polyhedron)

In geometry a net of a polyhedron is an arrangement of edge-joined polygons in the plane which can be folded (along edges) to become the faces of the polyhedron.

24-cell and Net (polyhedron) · Net (polyhedron) and Snub 24-cell · See more »

Platonic solid

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

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Schläfli symbol

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

24-cell and Schläfli symbol · Schläfli symbol and Snub 24-cell · See more »

Truncated 24-cells

In geometry, a truncated 24-cell is a uniform 4-polytope (4-dimensional uniform polytope) formed as the truncation of the regular 24-cell.

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Uniform 4-polytope

In geometry, a uniform 4-polytope (or uniform polychoron) is a 4-polytope which is vertex-transitive and whose cells are uniform polyhedra, and faces are regular polygons.

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Vertex figure

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

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120-cell

In geometry, the 120-cell is the convex regular 4-polytope with Schläfli symbol.

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24-cell

In geometry, the 24-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol.

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The list above answers the following questions

24-cell and Snub 24-cell Comparison

24-cell has 82 relations, while Snub 24-cell has 41. As they have in common 17, the Jaccard index is 13.82% = 17 / (82 + 41).

References

This article shows the relationship between 24-cell and Snub 24-cell. To access each article from which the information was extracted, please visit:

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