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Runcinated 24-cells and Uniform 4-polytope

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

Difference between Runcinated 24-cells and Uniform 4-polytope

Runcinated 24-cells vs. Uniform 4-polytope

In four-dimensional geometry, a runcinated 24-cell is a convex uniform 4-polytope, being a runcination (a 3rd order truncation) of the regular 24-cell. 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.

Similarities between Runcinated 24-cells and Uniform 4-polytope

Runcinated 24-cells and Uniform 4-polytope have 32 things in common (in Unionpedia): Alternation (geometry), Cantellated 24-cells, Cantellated tesseract, Coxeter element, Coxeter group, Coxeter–Dynkin diagram, Emanuel Lodewijk Elte, Geometry, Hexagonal prism, Isogonal figure, John Horton Conway, Michael Guy, Norman Johnson (mathematician), Octahedron, Rhombicuboctahedron, Runcinated 24-cells, Runcinated tesseracts, Runcination, Schläfli symbol, Schlegel diagram, Snub 24-cell, Snub cube, Square antiprism, Tetrahedron, Triangular cupola, Triangular prism, Truncated 24-cells, Truncated cuboctahedron, Truncated octahedron, Truncated tetrahedron, ..., Vertex figure, 24-cell. Expand index (2 more) »

Alternation (geometry)

In geometry, an alternation or partial truncation, is an operation on a polygon, polyhedron, tiling, or higher dimensional polytope that removes alternate vertices.

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Cantellated 24-cells

In four-dimensional geometry, a cantellated 24-cell is a convex uniform 4-polytope, being a cantellation (a 2nd order truncation) of the regular 24-cell.

Cantellated 24-cells and Runcinated 24-cells · Cantellated 24-cells and Uniform 4-polytope · See more »

Cantellated tesseract

In four-dimensional geometry, a cantellated tesseract is a convex uniform 4-polytope, being a cantellation (a 2nd order truncation) of the regular tesseract.

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Coxeter element

In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group.

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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).

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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 Runcinated 24-cells · Coxeter–Dynkin diagram and Uniform 4-polytope · See more »

Emanuel Lodewijk Elte

Emanuel Lodewijk Elte (16 March 1881 in Amsterdam – 9 April 1943 in Sobibór) at joodsmonument.nl was a Dutch mathematician.

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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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Hexagonal prism

In geometry, the hexagonal prism is a prism with hexagonal base.

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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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John Horton Conway

John Horton Conway FRS (born 26 December 1937) is an English mathematician active in the theory of finite groups, knot theory, number theory, combinatorial game theory and coding theory.

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Michael Guy

Michael J. T. Guy (born c.1942) is a British computer scientist and mathematician.

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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 Runcinated 24-cells · Norman Johnson (mathematician) and Uniform 4-polytope · See more »

Octahedron

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

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Rhombicuboctahedron

In geometry, the rhombicuboctahedron, or small rhombicuboctahedron, is an Archimedean solid with eight triangular and eighteen square faces.

Rhombicuboctahedron and Runcinated 24-cells · Rhombicuboctahedron and Uniform 4-polytope · See more »

Runcinated 24-cells

In four-dimensional geometry, a runcinated 24-cell is a convex uniform 4-polytope, being a runcination (a 3rd order truncation) of the regular 24-cell.

Runcinated 24-cells and Runcinated 24-cells · Runcinated 24-cells and Uniform 4-polytope · See more »

Runcinated tesseracts

In four-dimensional geometry, a runcinated tesseract (or runcinated 16-cell) is a convex uniform 4-polytope, being a runcination (a 3rd order truncation) of the regular tesseract.

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Runcination

In geometry, runcination is an operation that cuts a regular polytope (or honeycomb) simultaneously along the faces, edges and vertices, creating new facets in place of the original face, edge, and vertex centers.

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Schläfli symbol

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

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Schlegel diagram

In geometry, a Schlegel diagram is a projection of a polytope from R^d into R^ through a point beyond one of its facets or faces.

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Snub 24-cell

In geometry, the snub 24-cell or snub disicositetrachoron is a convex uniform 4-polytope composed of 120 regular tetrahedral and 24 icosahedral cells.

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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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Square antiprism

In geometry, the square antiprism is the second in an infinite set of antiprisms formed by an even-numbered sequence of triangle sides closed by two polygon caps.

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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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Triangular cupola

In geometry, the triangular cupola is one of the Johnson solids (J3).

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Triangular prism

In geometry, a triangular prism is a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides.

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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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Truncated cuboctahedron

In geometry, the truncated cuboctahedron is an Archimedean solid, named by Kepler as a truncation of a cuboctahedron.

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Truncated octahedron

In geometry, the truncated octahedron is an Archimedean solid.

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Truncated tetrahedron

In geometry, the truncated tetrahedron is an Archimedean solid.

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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.

Runcinated 24-cells and Vertex figure · Uniform 4-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 Runcinated 24-cells · 24-cell and Uniform 4-polytope · See more »

The list above answers the following questions

Runcinated 24-cells and Uniform 4-polytope Comparison

Runcinated 24-cells has 43 relations, while Uniform 4-polytope has 145. As they have in common 32, the Jaccard index is 17.02% = 32 / (43 + 145).

References

This article shows the relationship between Runcinated 24-cells and Uniform 4-polytope. To access each article from which the information was extracted, please visit:

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