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

5-demicube and Rectified 5-cell

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

Difference between 5-demicube and Rectified 5-cell

5-demicube vs. Rectified 5-cell

In five-dimensional geometry, a demipenteract or 5-demicube is a semiregular 5-polytope, constructed from a 5-hypercube (penteract) with alternated vertices removed. In four-dimensional geometry, the rectified 5-cell is a uniform 4-polytope composed of 5 regular tetrahedral and 5 regular octahedral cells.

Similarities between 5-demicube and Rectified 5-cell

5-demicube and Rectified 5-cell have 27 things in common (in Unionpedia): Cartesian coordinate system, Configuration (polytope), Convex polytope, Coxeter–Dynkin diagram, Cross-polytope, Emanuel Lodewijk Elte, Geometry, Gosset–Elte figures, Harold Scott MacDonald Coxeter, Isosceles triangle, John Horton Conway, Messenger of Mathematics, Petrie polygon, Polyhedral combinatorics, Regular polytope, Schläfli symbol, Simplex, Tetrahedron, Thorold Gosset, Triangle, Triangular prism, Uniform k 21 polytope, Uniform polytope, Vertex figure, Wythoff construction, 2 21 polytope, 5-cell.

Cartesian coordinate system

A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length.

5-demicube and Cartesian coordinate system · Cartesian coordinate system and Rectified 5-cell · See more »

Configuration (polytope)

In geometry, H. S. M. Coxeter called a regular polytope a special kind of configuration.

5-demicube and Configuration (polytope) · Configuration (polytope) and Rectified 5-cell · See more »

Convex polytope

A convex polytope is a special case of a polytope, having the additional property that it is also a convex set of points in the n-dimensional space Rn.

5-demicube and Convex polytope · Convex polytope and Rectified 5-cell · 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).

5-demicube and Coxeter–Dynkin diagram · Coxeter–Dynkin diagram and Rectified 5-cell · See more »

Cross-polytope

In geometry, a cross-polytope, orthoplex, hyperoctahedron, or cocube is a regular, convex polytope that exists in n-dimensions.

5-demicube and Cross-polytope · Cross-polytope and Rectified 5-cell · See more »

Emanuel Lodewijk Elte

Emanuel Lodewijk Elte (16 March 1881 in Amsterdam – 9 April 1943 in Sobibór) at joodsmonument.nl was a Dutch mathematician.

5-demicube and Emanuel Lodewijk Elte · Emanuel Lodewijk Elte and Rectified 5-cell · 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.

5-demicube and Geometry · Geometry and Rectified 5-cell · See more »

Gosset–Elte figures

In geometry, the Gosset–Elte figures, named by Coxeter after Thorold Gosset and E. L. Elte, are a group of uniform polytopes which are not regular, generated by a Wythoff construction with mirrors all related by order-2 and order-3 dihedral angles.

5-demicube and Gosset–Elte figures · Gosset–Elte figures and Rectified 5-cell · 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.

5-demicube and Harold Scott MacDonald Coxeter · Harold Scott MacDonald Coxeter and Rectified 5-cell · See more »

Isosceles triangle

In geometry, an isosceles triangle is a triangle that has two sides of equal length.

5-demicube and Isosceles triangle · Isosceles triangle and Rectified 5-cell · See more »

John Horton Conway

John Horton Conway FRS (born 26 December 1937) is an English mathematician active in the theory of finite groups, knot theory, number theory, combinatorial game theory and coding theory.

5-demicube and John Horton Conway · John Horton Conway and Rectified 5-cell · See more »

Messenger of Mathematics

The Messenger of Mathematics is a defunct mathematics journal.

5-demicube and Messenger of Mathematics · Messenger of Mathematics and Rectified 5-cell · See more »

Petrie polygon

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.

5-demicube and Petrie polygon · Petrie polygon and Rectified 5-cell · See more »

Polyhedral combinatorics

Polyhedral combinatorics is a branch of mathematics, within combinatorics and discrete geometry, that studies the problems of counting and describing the faces of convex polyhedra and higher-dimensional convex polytopes.

5-demicube and Polyhedral combinatorics · Polyhedral combinatorics and Rectified 5-cell · 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.

5-demicube and Regular polytope · Rectified 5-cell and Regular polytope · See more »

Schläfli symbol

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

5-demicube and Schläfli symbol · Rectified 5-cell and Schläfli symbol · 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.

5-demicube and Simplex · Rectified 5-cell 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.

5-demicube and Tetrahedron · Rectified 5-cell and Tetrahedron · See more »

Thorold Gosset

John Herbert de Paz Thorold Gosset (16 October 1869 – December 1962) was an English lawyer and an amateur mathematician.

5-demicube and Thorold Gosset · Rectified 5-cell and Thorold Gosset · See more »

Triangle

A triangle is a polygon with three edges and three vertices.

5-demicube and Triangle · Rectified 5-cell and Triangle · See more »

Triangular prism

In geometry, a triangular prism is a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides.

5-demicube and Triangular prism · Rectified 5-cell and Triangular prism · See more »

Uniform k 21 polytope

In geometry, a uniform k21 polytope is a polytope in k + 4 dimensions constructed from the ''E''''n'' Coxeter group, and having only regular polytope facets.

5-demicube and Uniform k 21 polytope · Rectified 5-cell and Uniform k 21 polytope · See more »

Uniform polytope

A uniform polytope of dimension three or higher is a vertex-transitive polytope bounded by uniform facets.

5-demicube and Uniform polytope · Rectified 5-cell and Uniform 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.

5-demicube and Vertex figure · Rectified 5-cell and Vertex figure · 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.

5-demicube and Wythoff construction · Rectified 5-cell and Wythoff construction · See more »

2 21 polytope

In 6-dimensional geometry, the 221 polytope is a uniform 6-polytope, constructed within the symmetry of the E6 group.

2 21 polytope and 5-demicube · 2 21 polytope and Rectified 5-cell · See more »

5-cell

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

5-cell and 5-demicube · 5-cell and Rectified 5-cell · See more »

The list above answers the following questions

5-demicube and Rectified 5-cell Comparison

5-demicube has 47 relations, while Rectified 5-cell has 53. As they have in common 27, the Jaccard index is 27.00% = 27 / (47 + 53).

References

This article shows the relationship between 5-demicube and Rectified 5-cell. To access each article from which the information was extracted, please visit:

Hey! We are on Facebook now! »