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Runcinated 6-orthoplexes and Uniform 6-polytope

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

Difference between Runcinated 6-orthoplexes and Uniform 6-polytope

Runcinated 6-orthoplexes vs. Uniform 6-polytope

In six-dimensional geometry, a runcinated 6-orthplex is a convex uniform 6-polytope with 3rd order truncations (runcination) of the regular 6-orthoplex. In six-dimensional geometry, a uniform polypeton (or uniform 6-polytope) is a six-dimensional uniform polytope.

Similarities between Runcinated 6-orthoplexes and Uniform 6-polytope

Runcinated 6-orthoplexes and Uniform 6-polytope have 9 things in common (in Unionpedia): Geometry, Harold Scott MacDonald Coxeter, Norman Johnson (mathematician), Permutation, Runcinated 6-cubes, Runcination, Truncation (geometry), 6-cube, 6-orthoplex.

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 Runcinated 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 Runcinated 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 Runcinated 6-orthoplexes · Norman Johnson (mathematician) and Uniform 6-polytope · See more »

Permutation

In mathematics, the notion of permutation relates to the act of arranging all the members of a set into some sequence or order, or if the set is already ordered, rearranging (reordering) its elements, a process called permuting.

Permutation and Runcinated 6-orthoplexes · Permutation and Uniform 6-polytope · See more »

Runcinated 6-cubes

In six-dimensional geometry, a runcinated 6-cube is a convex uniform 6-polytope with 3rd order truncations (runcination) of the regular 6-cube.

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

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.

Runcinated 6-orthoplexes and Runcination · Runcination 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.

Runcinated 6-orthoplexes and Truncation (geometry) · Truncation (geometry) and Uniform 6-polytope · 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 Runcinated 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 Runcinated 6-orthoplexes · 6-orthoplex and Uniform 6-polytope · See more »

The list above answers the following questions

Runcinated 6-orthoplexes and Uniform 6-polytope Comparison

Runcinated 6-orthoplexes has 12 relations, while Uniform 6-polytope has 96. As they have in common 9, the Jaccard index is 8.33% = 9 / (12 + 96).

References

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

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