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Rectified 24-cell and Uniform polytope

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

Difference between Rectified 24-cell and Uniform polytope

Rectified 24-cell vs. Uniform polytope

In geometry, the rectified 24-cell or rectified icositetrachoron is a uniform 4-dimensional polytope (or uniform 4-polytope), which is bounded by 48 cells: 24 cubes, and 24 cuboctahedra. A uniform polytope of dimension three or higher is a vertex-transitive polytope bounded by uniform facets.

Similarities between Rectified 24-cell and Uniform polytope

Rectified 24-cell and Uniform polytope have 14 things in common (in Unionpedia): Coxeter–Dynkin diagram, Cube, Cuboctahedron, Face (geometry), Facet (geometry), Harold Scott MacDonald Coxeter, Norman Johnson (mathematician), Schläfli symbol, Square, Triangle, Truncated 24-cells, Uniform 4-polytope, Vertex figure, 24-cell.

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 Rectified 24-cell · Coxeter–Dynkin diagram and Uniform polytope · 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.

Cube and Rectified 24-cell · Cube and Uniform polytope · See more »

Cuboctahedron

In geometry, a cuboctahedron is a polyhedron with 8 triangular faces and 6 square faces.

Cuboctahedron and Rectified 24-cell · Cuboctahedron and Uniform polytope · 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 Rectified 24-cell · Face (geometry) and Uniform polytope · 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 Rectified 24-cell · Facet (geometry) and Uniform polytope · See more »

Harold Scott MacDonald Coxeter

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

Harold Scott MacDonald Coxeter and Rectified 24-cell · Harold Scott MacDonald Coxeter and Uniform polytope · See more »

Norman Johnson (mathematician)

Norman Woodason Johnson (November 12, 1930 – July 13, 2017) was a mathematician, previously at Wheaton College, Norton, Massachusetts.

Norman Johnson (mathematician) and Rectified 24-cell · Norman Johnson (mathematician) and Uniform polytope · See more »

Schläfli symbol

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

Rectified 24-cell and Schläfli symbol · Schläfli symbol and Uniform polytope · See more »

Square

In geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, or (100-gradian angles or right angles). It can also be defined as a rectangle in which two adjacent sides have equal length. A square with vertices ABCD would be denoted.

Rectified 24-cell and Square · Square and Uniform polytope · See more »

Triangle

A triangle is a polygon with three edges and three vertices.

Rectified 24-cell and Triangle · Triangle and Uniform polytope · 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.

Rectified 24-cell and Truncated 24-cells · Truncated 24-cells and Uniform polytope · See more »

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.

Rectified 24-cell and Uniform 4-polytope · Uniform 4-polytope and Uniform polytope · 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.

Rectified 24-cell and Vertex figure · Uniform polytope and Vertex figure · See more »

24-cell

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

24-cell and Rectified 24-cell · 24-cell and Uniform polytope · See more »

The list above answers the following questions

Rectified 24-cell and Uniform polytope Comparison

Rectified 24-cell has 26 relations, while Uniform polytope has 150. As they have in common 14, the Jaccard index is 7.95% = 14 / (26 + 150).

References

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

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