Similarities between Truncated 24-cells and Uniform 4-polytope
Truncated 24-cells and Uniform 4-polytope have 32 things in common (in Unionpedia): Bitruncation, Cantellated 24-cells, Coxeter element, Coxeter group, Coxeter notation, Coxeter–Dynkin diagram, Cube, Disphenoid, Dual polyhedron, Emanuel Lodewijk Elte, Geometry, Harold Scott MacDonald Coxeter, Isogonal figure, Norman Johnson (mathematician), Omnitruncation, Polytope, Rectified 24-cell, Runcinated 24-cells, Schläfli symbol, Schlegel diagram, Triangle, Truncated 24-cells, Truncated cube, Truncated cuboctahedron, Truncated octahedron, Truncated tetrahedron, Truncation (geometry), Vertex figure, Wythoff construction, 120-cell, ..., 16-cell, 24-cell. Expand index (2 more) »
Bitruncation
In geometry, a bitruncation is an operation on regular polytopes.
Bitruncation and Truncated 24-cells · Bitruncation and Uniform 4-polytope ·
Cantellated 24-cells
In four-dimensional geometry, a cantellated 24-cell is a convex uniform 4-polytope, being a cantellation (a 2nd order truncation) of the regular 24-cell.
Cantellated 24-cells and Truncated 24-cells · Cantellated 24-cells and Uniform 4-polytope ·
Coxeter element
In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group.
Coxeter element and Truncated 24-cells · Coxeter element and Uniform 4-polytope ·
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).
Coxeter group and Truncated 24-cells · Coxeter group and Uniform 4-polytope ·
Coxeter notation
In geometry, Coxeter notation (also Coxeter symbol) is a system of classifying symmetry groups, describing the angles between with fundamental reflections of a Coxeter group in a bracketed notation expressing the structure of a Coxeter-Dynkin diagram, with modifiers to indicate certain subgroups.
Coxeter notation and Truncated 24-cells · Coxeter notation and Uniform 4-polytope ·
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).
Coxeter–Dynkin diagram and Truncated 24-cells · Coxeter–Dynkin diagram and Uniform 4-polytope ·
Cube
In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex.
Cube and Truncated 24-cells · Cube and Uniform 4-polytope ·
Disphenoid
In geometry, a disphenoid (from Greek sphenoeides, "wedgelike") is a tetrahedron whose four faces are congruent acute-angled triangles.
Disphenoid and Truncated 24-cells · Disphenoid and Uniform 4-polytope ·
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 Truncated 24-cells · Dual polyhedron and Uniform 4-polytope ·
Emanuel Lodewijk Elte
Emanuel Lodewijk Elte (16 March 1881 in Amsterdam – 9 April 1943 in Sobibór) at joodsmonument.nl was a Dutch mathematician.
Emanuel Lodewijk Elte and Truncated 24-cells · Emanuel Lodewijk Elte and Uniform 4-polytope ·
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 Truncated 24-cells · Geometry and Uniform 4-polytope ·
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 Truncated 24-cells · Harold Scott MacDonald Coxeter and Uniform 4-polytope ·
Isogonal figure
In geometry, a polytope (a polygon, polyhedron or tiling, for example) is isogonal or vertex-transitive if all its vertices are equivalent under the symmetries of the figure.
Isogonal figure and Truncated 24-cells · Isogonal figure and Uniform 4-polytope ·
Norman Johnson (mathematician)
Norman Woodason Johnson (November 12, 1930 – July 13, 2017) was a mathematician, previously at Wheaton College, Norton, Massachusetts.
Norman Johnson (mathematician) and Truncated 24-cells · Norman Johnson (mathematician) and Uniform 4-polytope ·
Omnitruncation
In geometry, an omnitruncation is an operation applied to a regular polytope (or honeycomb) in a Wythoff construction that creates a maximum number of facets.
Omnitruncation and Truncated 24-cells · Omnitruncation and Uniform 4-polytope ·
Polytope
In elementary geometry, a polytope is a geometric object with "flat" sides.
Polytope and Truncated 24-cells · Polytope and Uniform 4-polytope ·
Rectified 24-cell
In geometry, the rectified 24-cell or rectified icositetrachoron is a uniform 4-dimensional polytope (or uniform 4-polytope), which is bounded by 48 cells: 24 cubes, and 24 cuboctahedra.
Rectified 24-cell and Truncated 24-cells · Rectified 24-cell and Uniform 4-polytope ·
Runcinated 24-cells
In four-dimensional geometry, a runcinated 24-cell is a convex uniform 4-polytope, being a runcination (a 3rd order truncation) of the regular 24-cell.
Runcinated 24-cells and Truncated 24-cells · Runcinated 24-cells and Uniform 4-polytope ·
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
Schläfli symbol and Truncated 24-cells · Schläfli symbol and Uniform 4-polytope ·
Schlegel diagram
In geometry, a Schlegel diagram is a projection of a polytope from R^d into R^ through a point beyond one of its facets or faces.
Schlegel diagram and Truncated 24-cells · Schlegel diagram and Uniform 4-polytope ·
Triangle
A triangle is a polygon with three edges and three vertices.
Triangle and Truncated 24-cells · Triangle and Uniform 4-polytope ·
Truncated 24-cells
In geometry, a truncated 24-cell is a uniform 4-polytope (4-dimensional uniform polytope) formed as the truncation of the regular 24-cell.
Truncated 24-cells and Truncated 24-cells · Truncated 24-cells and Uniform 4-polytope ·
Truncated cube
In geometry, the truncated cube, or truncated hexahedron, is an Archimedean solid.
Truncated 24-cells and Truncated cube · Truncated cube and Uniform 4-polytope ·
Truncated cuboctahedron
In geometry, the truncated cuboctahedron is an Archimedean solid, named by Kepler as a truncation of a cuboctahedron.
Truncated 24-cells and Truncated cuboctahedron · Truncated cuboctahedron and Uniform 4-polytope ·
Truncated octahedron
In geometry, the truncated octahedron is an Archimedean solid.
Truncated 24-cells and Truncated octahedron · Truncated octahedron and Uniform 4-polytope ·
Truncated tetrahedron
In geometry, the truncated tetrahedron is an Archimedean solid.
Truncated 24-cells and Truncated tetrahedron · Truncated tetrahedron and Uniform 4-polytope ·
Truncation (geometry)
In geometry, a truncation is an operation in any dimension that cuts polytope vertices, creating a new facet in place of each vertex.
Truncated 24-cells and Truncation (geometry) · Truncation (geometry) and Uniform 4-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.
Truncated 24-cells and Vertex figure · Uniform 4-polytope 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.
Truncated 24-cells and Wythoff construction · Uniform 4-polytope and Wythoff construction ·
120-cell
In geometry, the 120-cell is the convex regular 4-polytope with Schläfli symbol.
120-cell and Truncated 24-cells · 120-cell and Uniform 4-polytope ·
16-cell
In four-dimensional geometry, a 16-cell is a regular convex 4-polytope.
16-cell and Truncated 24-cells · 16-cell and Uniform 4-polytope ·
24-cell
In geometry, the 24-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol.
24-cell and Truncated 24-cells · 24-cell and Uniform 4-polytope ·
The list above answers the following questions
- What Truncated 24-cells and Uniform 4-polytope have in common
- What are the similarities between Truncated 24-cells and Uniform 4-polytope
Truncated 24-cells and Uniform 4-polytope Comparison
Truncated 24-cells has 65 relations, while Uniform 4-polytope has 145. As they have in common 32, the Jaccard index is 15.24% = 32 / (65 + 145).
References
This article shows the relationship between Truncated 24-cells and Uniform 4-polytope. To access each article from which the information was extracted, please visit: