Similarities between 5-cell and Runcinated 5-orthoplexes
5-cell and Runcinated 5-orthoplexes have 17 things in common (in Unionpedia): Cartesian coordinate system, Convex polytope, Coxeter element, Coxeter group, Coxeter–Dynkin diagram, Geometry, Harold Scott MacDonald Coxeter, Isogonal figure, Norman Johnson (mathematician), Runcinated 5-cubes, Schläfli symbol, Tetrahedron, Uniform 5-polytope, Vertex figure, 5-cell, 5-cube, 5-orthoplex.
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-cell and Cartesian coordinate system · Cartesian coordinate system and Runcinated 5-orthoplexes ·
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-cell and Convex polytope · Convex polytope and Runcinated 5-orthoplexes ·
Coxeter element
In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group.
5-cell and Coxeter element · Coxeter element and Runcinated 5-orthoplexes ·
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).
5-cell and Coxeter group · Coxeter group and Runcinated 5-orthoplexes ·
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-cell and Coxeter–Dynkin diagram · Coxeter–Dynkin diagram and Runcinated 5-orthoplexes ·
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-cell and Geometry · Geometry and Runcinated 5-orthoplexes ·
Harold Scott MacDonald Coxeter
Harold Scott MacDonald "Donald" Coxeter, FRS, FRSC, (February 9, 1907 – March 31, 2003) was a British-born Canadian geometer.
5-cell and Harold Scott MacDonald Coxeter · Harold Scott MacDonald Coxeter and Runcinated 5-orthoplexes ·
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.
5-cell and Isogonal figure · Isogonal figure and Runcinated 5-orthoplexes ·
Norman Johnson (mathematician)
Norman Woodason Johnson (November 12, 1930 – July 13, 2017) was a mathematician, previously at Wheaton College, Norton, Massachusetts.
5-cell and Norman Johnson (mathematician) · Norman Johnson (mathematician) and Runcinated 5-orthoplexes ·
Runcinated 5-cubes
In five-dimensional geometry, a runcinated 5-cube is a convex uniform 5-polytope that is a runcination (a 3rd order truncation) of the regular 5-cube.
5-cell and Runcinated 5-cubes · Runcinated 5-cubes and Runcinated 5-orthoplexes ·
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
5-cell and Schläfli symbol · Runcinated 5-orthoplexes 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.
5-cell and Tetrahedron · Runcinated 5-orthoplexes and Tetrahedron ·
Uniform 5-polytope
In geometry, a uniform 5-polytope is a five-dimensional uniform polytope.
5-cell and Uniform 5-polytope · Runcinated 5-orthoplexes and Uniform 5-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-cell and Vertex figure · Runcinated 5-orthoplexes and Vertex figure ·
5-cell
In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.
5-cell and 5-cell · 5-cell and Runcinated 5-orthoplexes ·
5-cube
In five-dimensional geometry, a 5-cube is a name for a five-dimensional hypercube with 32 vertices, 80 edges, 80 square faces, 40 cubic cells, and 10 tesseract 4-faces.
5-cell and 5-cube · 5-cube and Runcinated 5-orthoplexes ·
5-orthoplex
In five-dimensional geometry, a 5-orthoplex, or 5-cross polytope, is a five-dimensional polytope with 10 vertices, 40 edges, 80 triangle faces, 80 tetrahedron cells, 32 5-cell 4-faces.
5-cell and 5-orthoplex · 5-orthoplex and Runcinated 5-orthoplexes ·
The list above answers the following questions
- What 5-cell and Runcinated 5-orthoplexes have in common
- What are the similarities between 5-cell and Runcinated 5-orthoplexes
5-cell and Runcinated 5-orthoplexes Comparison
5-cell has 67 relations, while Runcinated 5-orthoplexes has 29. As they have in common 17, the Jaccard index is 17.71% = 17 / (67 + 29).
References
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