Pentellated 7-simplexes

In seven-dimensional geometry, a pentellated 7-simplex is a convex uniform 7-polytope with 5th order truncations (pentellation) of the regular 7-simplex. ^[1]

13 relations: Convex polytope, Coxeter group, Coxeter–Dynkin diagram, Facet (geometry), Geometry, Harold Scott MacDonald Coxeter, Norman Johnson (mathematician), Schläfli symbol, Truncation (geometry), Uniform 6-polytope, Uniform 7-polytope, Vertex figure, 7-simplex.
7-polytopes

Convex polytope

A convex polytope is a special case of a polytope, having the additional property that it is also a convex set contained in the n-dimensional Euclidean space \mathbb^n.

See Pentellated 7-simplexes and Convex polytope

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).

See Pentellated 7-simplexes and Coxeter group

In geometry, a Coxeter–Dynkin diagram (or Coxeter diagram, Coxeter graph) is a graph with numerically labeled edges (called branches) representing a Coxeter group or sometimes a uniform polytope or uniform tiling constructed from the group.

See Pentellated 7-simplexes and Coxeter–Dynkin diagram

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.

See Pentellated 7-simplexes and Facet (geometry)

Geometry

Geometry is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures.

See Pentellated 7-simplexes and Geometry

Harold Scott MacDonald Coxeter

Harold Scott MacDonald "Donald" Coxeter (9 February 1907 – 31 March 2003) was a British-Canadian geometer and mathematician.

See Pentellated 7-simplexes and Harold Scott MacDonald Coxeter

Norman Johnson (mathematician)

Norman Woodason Johnson was a mathematician at Wheaton College, Norton, Massachusetts.

See Pentellated 7-simplexes and Norman Johnson (mathematician)

Schläfli symbol

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

See Pentellated 7-simplexes and Schläfli symbol

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.

See Pentellated 7-simplexes and Truncation (geometry)

Uniform 6-polytope

In six-dimensional geometry, a uniform 6-polytope is a six-dimensional uniform polytope.

See Pentellated 7-simplexes and Uniform 6-polytope

Uniform 7-polytope

In seven-dimensional geometry, a 7-polytope is a polytope contained by 6-polytope facets. Pentellated 7-simplexes and Uniform 7-polytope are 7-polytopes.

See Pentellated 7-simplexes and Uniform 7-polytope

Vertex figure

In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off.

See Pentellated 7-simplexes and Vertex figure

7-simplex

In 7-dimensional geometry, a 7-simplex is a self-dual regular 7-polytope. Pentellated 7-simplexes and 7-simplex are 7-polytopes.

See Pentellated 7-simplexes and 7-simplex

References

[1] https://en.wikipedia.org/wiki/Pentellated_7-simplexes

Also known as Pentellated 7-simplex, Penticantellated 7-simplex, Penticantitruncated 7-simplex, Pentiruncicantellated 7-simplex, Pentiruncicantitruncated 7-simplex, Pentiruncinated 7-simplex, Pentiruncitruncated 7-simplex, Pentistericantellated 7-simplex, Pentistericantitruncated 7-simplex, Pentistericated 7-simplex, Pentisteriruncicantellated 7-simplex, Pentisteriruncicantitruncated 7-simplex, Pentisteriruncinated 7-simplex, Pentisteriruncitruncated 7-simplex, Pentisteritruncated 7-simplex, Pentitruncated 7-simplex, Small terated octaexon.

Unionpedia is a concept map or semantic network organized like an encyclopedia – dictionary. It gives a brief definition of each concept and its relationships.

This is a giant online mental map that serves as a basis for concept diagrams. It's free to use and each article or document can be downloaded. It's a tool, resource or reference for study, research, education, learning or teaching, that can be used by teachers, educators, pupils or students; for the academic world: for school, primary, secondary, high school, middle, technical degree, college, university, undergraduate, master's or doctoral degrees; for papers, reports, projects, ideas, documentation, surveys, summaries, or thesis. Here is the definition, explanation, description, or the meaning of each significant on which you need information, and a list of their associated concepts as a glossary. Available in English, Spanish, Portuguese, Japanese, Chinese, French, German, Italian, Polish, Dutch, Russian, Arabic, Hindi, Swedish, Ukrainian, Hungarian, Catalan, Czech, Hebrew, Danish, Finnish, Indonesian, Norwegian, Romanian, Turkish, Vietnamese, Korean, Thai, Greek, Bulgarian, Croatian, Slovak, Lithuanian, Filipino, Latvian, Estonian and Slovenian. More languages soon.

The information is based on Wikipedia articles and other Wikimedia projects, and it's available under the Creative Commons Attribution-ShareAlike License.

Unionpedia is not endorsed by or affiliated with the Wikimedia Foundation.

Google Play, Android and the Google Play logo are trademarks of Google Inc.