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10-demicube and Schläfli symbol

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

Difference between 10-demicube and Schläfli symbol

10-demicube vs. Schläfli symbol

In geometry, a 10-demicube or demidekeract is a uniform 10-polytope, constructed from the 10-cube with alternated vertices removed. In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.

Similarities between 10-demicube and Schläfli symbol

10-demicube and Schläfli symbol have 13 things in common (in Unionpedia): Alternation (geometry), Convex polytope, Coxeter notation, Coxeter–Dynkin diagram, Geometry, Harold Scott MacDonald Coxeter, Norman Johnson (mathematician), Regular Polytopes (book), Tetrahedron, Triangle, Vertex figure, 16-cell, 5-cell.

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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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.

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Coxeter notation

In geometry, Coxeter notation (also Coxeter symbol) is a system of classifying symmetry groups, describing the angles between with fundamental reflections of a Coxeter group in a bracketed notation expressing the structure of a Coxeter-Dynkin diagram, with modifiers to indicate certain subgroups.

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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).

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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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Harold Scott MacDonald Coxeter

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

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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.

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Regular Polytopes (book)

Regular Polytopes is a mathematical geometry book written by Canadian mathematician Harold Scott MacDonald Coxeter.

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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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Triangle

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

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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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16-cell

In four-dimensional geometry, a 16-cell is a regular convex 4-polytope.

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5-cell

In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.

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The list above answers the following questions

10-demicube and Schläfli symbol Comparison

10-demicube has 34 relations, while Schläfli symbol has 224. As they have in common 13, the Jaccard index is 5.04% = 13 / (34 + 224).

References

This article shows the relationship between 10-demicube and Schläfli symbol. To access each article from which the information was extracted, please visit:

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