Octahedron and Rectified 5-simplexes

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

Difference between Octahedron and Rectified 5-simplexes

Octahedron vs. Rectified 5-simplexes

In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices. In five-dimensional geometry, a rectified 5-simplex is a convex uniform 5-polytope, being a rectification of the regular 5-simplex.

Coxeter element

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

Coxeter element and Octahedron · Coxeter element and Rectified 5-simplexes · 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 Octahedron · Dual polyhedron and Rectified 5-simplexes · 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 Octahedron · Geometry and Rectified 5-simplexes · 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 Octahedron · Harold Scott MacDonald Coxeter and Rectified 5-simplexes · See more »

Hyperplane

In geometry, a hyperplane is a subspace whose dimension is one less than that of its ambient space.

Hyperplane and Octahedron · Hyperplane and Rectified 5-simplexes · See more »

Orthographic projection

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

Octahedron and Orthographic projection · Orthographic projection and Rectified 5-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.

Octahedron and Projection (linear algebra) · Projection (linear algebra) and Rectified 5-simplexes · See more »

Pyramid (geometry)

In geometry, a pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex.

Octahedron and Pyramid (geometry) · Pyramid (geometry) and Rectified 5-simplexes · 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.

Octahedron and Rectification (geometry) · Rectification (geometry) and Rectified 5-simplexes · See more »

Stellated octahedron

The stellated octahedron is the only stellation of the octahedron.

Octahedron and Stellated octahedron · Rectified 5-simplexes and Stellated octahedron · See more »

Stereographic projection

In geometry, the stereographic projection is a particular mapping (function) that projects a sphere onto a plane.

Octahedron and Stereographic projection · Rectified 5-simplexes and Stereographic projection · 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.

Octahedron and Tetrahedron · Rectified 5-simplexes and Tetrahedron · See more »

Wythoff construction

In geometry, a Wythoff construction, named after mathematician Willem Abraham Wythoff, is a method for constructing a uniform polyhedron or plane tiling.

Octahedron and Wythoff construction · Rectified 5-simplexes and Wythoff construction · See more »