7-simplex and Petrie polygon

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

Difference between 7-simplex and Petrie polygon

7-simplex vs. Petrie polygon

In 7-dimensional geometry, a 7-simplex is a self-dual regular 7-polytope. In geometry, a Petrie polygon for a regular polytope of n dimensions is a skew polygon in which every (n – 1) consecutive sides (but no n) belongs to one of the facets.

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).

7-simplex and Coxeter group · Coxeter group and Petrie polygon · 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.

7-simplex and Dual polyhedron · Dual polyhedron and Petrie polygon · See more »

Edge (geometry)

In geometry, an edge is a particular type of line segment joining two vertices in a polygon, polyhedron, or higher-dimensional polytope.

7-simplex and Edge (geometry) · Edge (geometry) and Petrie polygon · 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.

7-simplex and Face (geometry) · Face (geometry) and Petrie polygon · 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.

7-simplex and Facet (geometry) · Facet (geometry) and Petrie polygon · 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.

7-simplex and Geometry · Geometry and Petrie polygon · 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.

7-simplex and Projection (linear algebra) · Petrie polygon and Projection (linear algebra) · 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.

7-simplex and Regular polytope · Petrie polygon and Regular polytope · See more »

Simplex

In geometry, a simplex (plural: simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions.

7-simplex and Simplex · Petrie polygon and Simplex · See more »

Tetrahedron

In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners.

7-simplex and Tetrahedron · Petrie polygon and Tetrahedron · See more »

5-cell

In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.

5-cell and 7-simplex · 5-cell and Petrie polygon · See more »