Similarities between Runcinated 5-cell and Truncated 5-cell
Runcinated 5-cell and Truncated 5-cell have 33 things in common (in Unionpedia): Automorphism, Cantellated 5-cell, Cartesian coordinate system, Convex polytope, Coxeter group, Coxeter–Dynkin diagram, Emanuel Lodewijk Elte, Face (geometry), Geometry, Harold Scott MacDonald Coxeter, Hexagon, Hyperplane, Isogonal figure, Isotoxal figure, Net (polyhedron), Norman Johnson (mathematician), Octahedron, Orthant, Regular skew polyhedron, Runcinated 5-cell, Schläfli symbol, Schlegel diagram, Simplex, Stereographic projection, Tesseract, Tetrahedron, Triangle, Truncated 5-cell, Truncated tetrahedron, Uniform 4-polytope, ..., Vertex figure, Wythoff construction, 5-cell. Expand index (3 more) »
Automorphism
In mathematics, an automorphism is an isomorphism from a mathematical object to itself.
Automorphism and Runcinated 5-cell · Automorphism and Truncated 5-cell ·
Cantellated 5-cell
In four-dimensional geometry, a cantellated 5-cell is a convex uniform 4-polytope, being a cantellation (a 2nd order truncation, up to edge-planing) of the regular 5-cell.
Cantellated 5-cell and Runcinated 5-cell · Cantellated 5-cell and Truncated 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.
Cartesian coordinate system and Runcinated 5-cell · Cartesian coordinate system and Truncated 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.
Convex polytope and Runcinated 5-cell · Convex polytope and Truncated 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).
Coxeter group and Runcinated 5-cell · Coxeter group and Truncated 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).
Coxeter–Dynkin diagram and Runcinated 5-cell · Coxeter–Dynkin diagram and Truncated 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.
Emanuel Lodewijk Elte and Runcinated 5-cell · Emanuel Lodewijk Elte and Truncated 5-cell ·
Face (geometry)
In solid geometry, a face is a flat (planar) surface that forms part of the boundary of a solid object; a three-dimensional solid bounded exclusively by flat faces is a polyhedron.
Face (geometry) and Runcinated 5-cell · Face (geometry) and Truncated 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.
Geometry and Runcinated 5-cell · Geometry and Truncated 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.
Harold Scott MacDonald Coxeter and Runcinated 5-cell · Harold Scott MacDonald Coxeter and Truncated 5-cell ·
Hexagon
In geometry, a hexagon (from Greek ἕξ hex, "six" and γωνία, gonía, "corner, angle") is a six-sided polygon or 6-gon.
Hexagon and Runcinated 5-cell · Hexagon and Truncated 5-cell ·
Hyperplane
In geometry, a hyperplane is a subspace whose dimension is one less than that of its ambient space.
Hyperplane and Runcinated 5-cell · Hyperplane and Truncated 5-cell ·
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 Runcinated 5-cell · Isogonal figure and Truncated 5-cell ·
Isotoxal figure
In geometry, a polytope (for example, a polygon or a polyhedron), or a tiling, is isotoxal or edge-transitive if its symmetries act transitively on its edges.
Isotoxal figure and Runcinated 5-cell · Isotoxal figure and Truncated 5-cell ·
Net (polyhedron)
In geometry a net of a polyhedron is an arrangement of edge-joined polygons in the plane which can be folded (along edges) to become the faces of the polyhedron.
Net (polyhedron) and Runcinated 5-cell · Net (polyhedron) and Truncated 5-cell ·
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 Runcinated 5-cell · Norman Johnson (mathematician) and Truncated 5-cell ·
Octahedron
In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.
Octahedron and Runcinated 5-cell · Octahedron and Truncated 5-cell ·
Orthant
In geometry, an orthant or hyperoctant is the analogue in n-dimensional Euclidean space of a quadrant in the plane or an octant in three dimensions.
Orthant and Runcinated 5-cell · Orthant and Truncated 5-cell ·
Regular skew polyhedron
In geometry, the regular skew polyhedra are generalizations to the set of regular polyhedron which include the possibility of nonplanar faces or vertex figures.
Regular skew polyhedron and Runcinated 5-cell · Regular skew polyhedron and Truncated 5-cell ·
Runcinated 5-cell
In four-dimensional geometry, a runcinated 5-cell is a convex uniform 4-polytope, being a runcination (a 3rd order truncation, up to face-planing) of the regular 5-cell.
Runcinated 5-cell and Runcinated 5-cell · Runcinated 5-cell and Truncated 5-cell ·
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
Runcinated 5-cell and Schläfli symbol · Schläfli symbol and Truncated 5-cell ·
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.
Runcinated 5-cell and Schlegel diagram · Schlegel diagram and Truncated 5-cell ·
Simplex
In geometry, a simplex (plural: simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions.
Runcinated 5-cell and Simplex · Simplex and Truncated 5-cell ·
Stereographic projection
In geometry, the stereographic projection is a particular mapping (function) that projects a sphere onto a plane.
Runcinated 5-cell and Stereographic projection · Stereographic projection and Truncated 5-cell ·
Tesseract
In geometry, the tesseract is the four-dimensional analogue of the cube; the tesseract is to the cube as the cube is to the square.
Runcinated 5-cell and Tesseract · Tesseract and Truncated 5-cell ·
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.
Runcinated 5-cell and Tetrahedron · Tetrahedron and Truncated 5-cell ·
Triangle
A triangle is a polygon with three edges and three vertices.
Runcinated 5-cell and Triangle · Triangle and Truncated 5-cell ·
Truncated 5-cell
In geometry, a truncated 5-cell is a uniform 4-polytope (4-dimensional uniform polytope) formed as the truncation of the regular 5-cell.
Runcinated 5-cell and Truncated 5-cell · Truncated 5-cell and Truncated 5-cell ·
Truncated tetrahedron
In geometry, the truncated tetrahedron is an Archimedean solid.
Runcinated 5-cell and Truncated tetrahedron · Truncated 5-cell and Truncated tetrahedron ·
Uniform 4-polytope
In geometry, a uniform 4-polytope (or uniform polychoron) is a 4-polytope which is vertex-transitive and whose cells are uniform polyhedra, and faces are regular polygons.
Runcinated 5-cell and Uniform 4-polytope · Truncated 5-cell 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.
Runcinated 5-cell and Vertex figure · Truncated 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.
Runcinated 5-cell and Wythoff construction · Truncated 5-cell and Wythoff construction ·
5-cell
In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.
5-cell and Runcinated 5-cell · 5-cell and Truncated 5-cell ·
The list above answers the following questions
- What Runcinated 5-cell and Truncated 5-cell have in common
- What are the similarities between Runcinated 5-cell and Truncated 5-cell
Runcinated 5-cell and Truncated 5-cell Comparison
Runcinated 5-cell has 61 relations, while Truncated 5-cell has 50. As they have in common 33, the Jaccard index is 29.73% = 33 / (61 + 50).
References
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