Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Android™ device!
Download
Faster access than browser!
 

A7 polytope

Index A7 polytope

In 7-dimensional geometry, there are 71 uniform polytopes with A7 symmetry. [1]

17 relations: Cantellated 7-simplexes, Coxeter element, Coxeter–Dynkin diagram, Geometry, Harold Scott MacDonald Coxeter, Hexicated 7-simplexes, Norman Johnson (mathematician), Orthographic projection, Pentellated 7-simplexes, Projection (linear algebra), Rectified 7-simplexes, Runcinated 7-simplexes, Schläfli symbol, Stericated 7-simplexes, Truncated 7-simplexes, Uniform 7-polytope, 7-simplex.

Cantellated 7-simplexes

In seven-dimensional geometry, a cantellated 7-simplex is a convex uniform 7-polytope, being a cantellation of the regular 7-simplex.

New!!: A7 polytope and Cantellated 7-simplexes · See more »

Coxeter element

In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group.

New!!: A7 polytope and Coxeter element · 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).

New!!: A7 polytope and Coxeter–Dynkin diagram · 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.

New!!: A7 polytope and Geometry · 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.

New!!: A7 polytope and Harold Scott MacDonald Coxeter · See more »

Hexicated 7-simplexes

In seven-dimensional geometry, a hexicated 7-simplex is a convex uniform 7-polytope, including 6th-order truncations (hexication) from the regular 7-simplex.

New!!: A7 polytope and Hexicated 7-simplexes · See more »

Norman Johnson (mathematician)

Norman Woodason Johnson (November 12, 1930 – July 13, 2017) was a mathematician, previously at Wheaton College, Norton, Massachusetts.

New!!: A7 polytope and Norman Johnson (mathematician) · See more »

Orthographic projection

Orthographic projection (sometimes orthogonal projection), is a means of representing three-dimensional objects in two dimensions.

New!!: A7 polytope and Orthographic projection · See more »

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.

New!!: A7 polytope and Pentellated 7-simplexes · See more »

Projection (linear algebra)

In linear algebra and functional analysis, a projection is a linear transformation P from a vector space to itself such that.

New!!: A7 polytope and Projection (linear algebra) · See more »

Rectified 7-simplexes

In seven-dimensional geometry, a rectified 7-simplex is a convex uniform 7-polytope, being a rectification of the regular 7-simplex.

New!!: A7 polytope and Rectified 7-simplexes · See more »

Runcinated 7-simplexes

In seven-dimensional geometry, a runcinated 7-simplex is a convex uniform 7-polytope with 3rd order truncations (runcination) of the regular 7-simplex.

New!!: A7 polytope and Runcinated 7-simplexes · See more »

Schläfli symbol

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

New!!: A7 polytope and Schläfli symbol · See more »

Stericated 7-simplexes

In seven-dimensional geometry, a stericated 7-simplex is a convex uniform 7-polytope with 4th order truncations (sterication) of the regular 7-simplex.

New!!: A7 polytope and Stericated 7-simplexes · See more »

Truncated 7-simplexes

In seven-dimensional geometry, a truncated 7-simplex is a convex uniform 7-polytope, being a truncation of the regular 7-simplex.

New!!: A7 polytope and Truncated 7-simplexes · See more »

Uniform 7-polytope

In seven-dimensional geometry, a 7-polytope is a polytope contained by 6-polytope facets.

New!!: A7 polytope and Uniform 7-polytope · See more »

7-simplex

In 7-dimensional geometry, a 7-simplex is a self-dual regular 7-polytope.

New!!: A7 polytope and 7-simplex · See more »

Redirects here:

List of 7-simplex polytopes, List of A7 polytopes.

References

[1] https://en.wikipedia.org/wiki/A7_polytope

OutgoingIncoming
Hey! We are on Facebook now! »