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Pentellated 6-orthoplexes and Uniform 6-polytope

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

Difference between Pentellated 6-orthoplexes and Uniform 6-polytope

Pentellated 6-orthoplexes vs. Uniform 6-polytope

In six-dimensional geometry, a pentellated 6-orthoplex is a convex uniform 6-polytope with 5th order truncations of the regular 6-orthoplex. In six-dimensional geometry, a uniform polypeton (or uniform 6-polytope) is a six-dimensional uniform polytope.

Similarities between Pentellated 6-orthoplexes and Uniform 6-polytope

Pentellated 6-orthoplexes and Uniform 6-polytope have 12 things in common (in Unionpedia): Coxeter group, Coxeter–Dynkin diagram, Expansion (geometry), Geometry, Harold Scott MacDonald Coxeter, Norman Johnson (mathematician), Pentellated 6-cubes, Schläfli symbol, Truncation (geometry), Vertex figure, 6-cube, 6-orthoplex.

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).

Coxeter group and Pentellated 6-orthoplexes · Coxeter group and Uniform 6-polytope · See more »

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 Pentellated 6-orthoplexes · Coxeter–Dynkin diagram and Uniform 6-polytope · See more »

Expansion (geometry)

In geometry, expansion is a polytope operation where facets are separated and moved radially apart, and new facets are formed at separated elements (vertices, edges, etc.). Equivalently this operation can be imagined by keeping facets in the same position but reducing their size.

Expansion (geometry) and Pentellated 6-orthoplexes · Expansion (geometry) and Uniform 6-polytope · See more »

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.

Geometry and Pentellated 6-orthoplexes · Geometry and Uniform 6-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 Pentellated 6-orthoplexes · Harold Scott MacDonald Coxeter and Uniform 6-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 Pentellated 6-orthoplexes · Norman Johnson (mathematician) and Uniform 6-polytope · See more »

Pentellated 6-cubes

In six-dimensional geometry, a pentellated 6-cube is a convex uniform 6-polytope with 5th order truncations of the regular 6-cube.

Pentellated 6-cubes and Pentellated 6-orthoplexes · Pentellated 6-cubes and Uniform 6-polytope · See more »

Schläfli symbol

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

Pentellated 6-orthoplexes and Schläfli symbol · Schläfli symbol and Uniform 6-polytope · See more »

Truncation (geometry)

In geometry, a truncation is an operation in any dimension that cuts polytope vertices, creating a new facet in place of each vertex.

Pentellated 6-orthoplexes and Truncation (geometry) · Truncation (geometry) and Uniform 6-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.

Pentellated 6-orthoplexes and Vertex figure · Uniform 6-polytope and Vertex figure · See more »

6-cube

In geometry, a 6-cube is a six-dimensional hypercube with 64 vertices, 192 edges, 240 square faces, 160 cubic cells, 60 tesseract 4-faces, and 12 5-cube 5-faces.

6-cube and Pentellated 6-orthoplexes · 6-cube and Uniform 6-polytope · See more »

6-orthoplex

In geometry, a 6-orthoplex, or 6-cross polytope, is a regular 6-polytope with 12 vertices, 60 edges, 160 triangle faces, 240 tetrahedron cells, 192 5-cell 4-faces, and 64 5-faces.

6-orthoplex and Pentellated 6-orthoplexes · 6-orthoplex and Uniform 6-polytope · See more »

The list above answers the following questions

Pentellated 6-orthoplexes and Uniform 6-polytope Comparison

Pentellated 6-orthoplexes has 16 relations, while Uniform 6-polytope has 96. As they have in common 12, the Jaccard index is 10.71% = 12 / (16 + 96).

References

This article shows the relationship between Pentellated 6-orthoplexes and Uniform 6-polytope. To access each article from which the information was extracted, please visit:

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