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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
Triangle
A triangle is a polygon with three edges and three vertices.
5-demicube and Triangle · Rectified 5-cell and Triangle ·
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 ·
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 ·
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 ·
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 ·
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 ·
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 ·
5-cell
In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.
The list above answers the following questions
- What 5-demicube and Rectified 5-cell have in common
- What are the similarities between 5-demicube and Rectified 5-cell
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
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