Similarities between 1 22 polytope and Rectified 5-cell
1 22 polytope and Rectified 5-cell have 24 things in common (in Unionpedia): Configuration (polytope), Convex polytope, Coxeter group, Coxeter–Dynkin diagram, Emanuel Lodewijk Elte, Geometry, Gosset–Elte figures, Harold Scott MacDonald Coxeter, Hyperplane, Isosceles triangle, Octahedron, Petrie polygon, Rectification (geometry), Rectified 5-cubes, Schläfli symbol, Tetrahedron, Triangle, Uniform polytope, Vertex figure, Wythoff construction, 2 21 polytope, 24-cell, 5-cell, 5-demicube.
Configuration (polytope)
In geometry, H. S. M. Coxeter called a regular polytope a special kind of configuration.
1 22 polytope 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.
1 22 polytope and Convex polytope · Convex polytope and Rectified 5-cell ·
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).
1 22 polytope and Coxeter group · Coxeter group 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).
1 22 polytope and Coxeter–Dynkin diagram · Coxeter–Dynkin diagram 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.
1 22 polytope 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.
1 22 polytope 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.
1 22 polytope 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.
1 22 polytope and Harold Scott MacDonald Coxeter · Harold Scott MacDonald Coxeter and Rectified 5-cell ·
Hyperplane
In geometry, a hyperplane is a subspace whose dimension is one less than that of its ambient space.
1 22 polytope and Hyperplane · Hyperplane and Rectified 5-cell ·
Isosceles triangle
In geometry, an isosceles triangle is a triangle that has two sides of equal length.
1 22 polytope and Isosceles triangle · Isosceles triangle and Rectified 5-cell ·
Octahedron
In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.
1 22 polytope and Octahedron · Octahedron 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.
1 22 polytope and Petrie polygon · Petrie polygon and Rectified 5-cell ·
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.
1 22 polytope and Rectification (geometry) · Rectification (geometry) and Rectified 5-cell ·
Rectified 5-cubes
In five-dimensional geometry, a rectified 5-cube is a convex uniform 5-polytope, being a rectification of the regular 5-cube.
1 22 polytope and Rectified 5-cubes · Rectified 5-cell and Rectified 5-cubes ·
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
1 22 polytope and Schläfli symbol · Rectified 5-cell and Schläfli symbol ·
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.
1 22 polytope and Tetrahedron · Rectified 5-cell and Tetrahedron ·
Triangle
A triangle is a polygon with three edges and three vertices.
1 22 polytope and Triangle · Rectified 5-cell and Triangle ·
Uniform polytope
A uniform polytope of dimension three or higher is a vertex-transitive polytope bounded by uniform facets.
1 22 polytope 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.
1 22 polytope 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.
1 22 polytope 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.
1 22 polytope and 2 21 polytope · 2 21 polytope and Rectified 5-cell ·
24-cell
In geometry, the 24-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol.
1 22 polytope and 24-cell · 24-cell and Rectified 5-cell ·
5-cell
In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.
1 22 polytope and 5-cell · 5-cell and Rectified 5-cell ·
5-demicube
In five-dimensional geometry, a demipenteract or 5-demicube is a semiregular 5-polytope, constructed from a 5-hypercube (penteract) with alternated vertices removed.
1 22 polytope and 5-demicube · 5-demicube and Rectified 5-cell ·
The list above answers the following questions
- What 1 22 polytope and Rectified 5-cell have in common
- What are the similarities between 1 22 polytope and Rectified 5-cell
1 22 polytope and Rectified 5-cell Comparison
1 22 polytope has 47 relations, while Rectified 5-cell has 53. As they have in common 24, the Jaccard index is 24.00% = 24 / (47 + 53).
References
This article shows the relationship between 1 22 polytope and Rectified 5-cell. To access each article from which the information was extracted, please visit: