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Schläfli symbol and Uniform 7-polytope

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

Difference between Schläfli symbol and Uniform 7-polytope

Schläfli symbol vs. Uniform 7-polytope

In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations. In seven-dimensional geometry, a 7-polytope is a polytope contained by 6-polytope facets.

Similarities between Schläfli symbol and Uniform 7-polytope

Schläfli symbol and Uniform 7-polytope have 16 things in common (in Unionpedia): Bitruncation, Cantellation (geometry), Coxeter group, Coxeter–Dynkin diagram, Dual polyhedron, Expansion (geometry), Face (geometry), Facet (geometry), Geometry, Harold Scott MacDonald Coxeter, Norman Johnson (mathematician), Omnitruncation, Rectification (geometry), Regular polytope, Truncation (geometry), Vertex figure.

Bitruncation

In geometry, a bitruncation is an operation on regular polytopes.

Bitruncation and Schläfli symbol · Bitruncation and Uniform 7-polytope · See more »

Cantellation (geometry)

In geometry, a cantellation is an operation in any dimension that bevels a regular polytope at its edges and vertices, creating a new facet in place of each edge and vertex.

Cantellation (geometry) and Schläfli symbol · Cantellation (geometry) and Uniform 7-polytope · See more »

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 Schläfli symbol · Coxeter group and Uniform 7-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 Schläfli symbol · Coxeter–Dynkin diagram and Uniform 7-polytope · See more »

Dual polyhedron

In geometry, any polyhedron is associated with a second dual figure, where the vertices of one correspond to the faces of the other and the edges between pairs of vertices of one correspond to the edges between pairs of faces of the other.

Dual polyhedron and Schläfli symbol · Dual polyhedron and Uniform 7-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 Schläfli symbol · Expansion (geometry) and Uniform 7-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 Schläfli symbol · Face (geometry) and Uniform 7-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 Schläfli symbol · Facet (geometry) and Uniform 7-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 Schläfli symbol · Geometry and Uniform 7-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 Schläfli symbol · Harold Scott MacDonald Coxeter and Uniform 7-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 Schläfli symbol · Norman Johnson (mathematician) and Uniform 7-polytope · See more »

Omnitruncation

In geometry, an omnitruncation is an operation applied to a regular polytope (or honeycomb) in a Wythoff construction that creates a maximum number of facets.

Omnitruncation and Schläfli symbol · Omnitruncation and Uniform 7-polytope · See more »

Rectification (geometry)

In Euclidean geometry, rectification or complete-truncation is the process of truncating a polytope by marking the midpoints of all its edges, and cutting off its vertices at those points.

Rectification (geometry) and Schläfli symbol · Rectification (geometry) and Uniform 7-polytope · See more »

Regular polytope

In mathematics, a regular polytope is a polytope whose symmetry group acts transitively on its flags, thus giving it the highest degree of symmetry.

Regular polytope and Schläfli symbol · Regular polytope and Uniform 7-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.

Schläfli symbol and Truncation (geometry) · Truncation (geometry) and Uniform 7-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.

Schläfli symbol and Vertex figure · Uniform 7-polytope and Vertex figure · See more »

The list above answers the following questions

Schläfli symbol and Uniform 7-polytope Comparison

Schläfli symbol has 224 relations, while Uniform 7-polytope has 79. As they have in common 16, the Jaccard index is 5.28% = 16 / (224 + 79).

References

This article shows the relationship between Schläfli symbol and Uniform 7-polytope. To access each article from which the information was extracted, please visit:

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