Similarities between Truncated 5-cell and Uniform 4-polytope
Truncated 5-cell and Uniform 4-polytope have 27 things in common (in Unionpedia): Bitruncation, Cantellated 5-cell, Coxeter group, Coxeter–Dynkin diagram, Disphenoid, Emanuel Lodewijk Elte, Geometry, Harold Scott MacDonald Coxeter, Hyperplane, Isogonal figure, Norman Johnson (mathematician), Octahedron, Polytope, Rectified 5-cell, Runcinated 5-cell, Schläfli symbol, Schlegel diagram, Tesseract, Tetrahedron, Triangle, Truncated 24-cells, Truncated 5-cell, Truncated tetrahedron, Truncation (geometry), Vertex figure, Wythoff construction, 5-cell.
Bitruncation
In geometry, a bitruncation is an operation on regular polytopes.
Bitruncation and Truncated 5-cell · Bitruncation and Uniform 4-polytope ·
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 Truncated 5-cell · Cantellated 5-cell 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 5-cell · Coxeter group 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 5-cell · Coxeter–Dynkin diagram 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 5-cell · Disphenoid 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 5-cell · 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 5-cell · 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 5-cell · Harold Scott MacDonald Coxeter and Uniform 4-polytope ·
Hyperplane
In geometry, a hyperplane is a subspace whose dimension is one less than that of its ambient space.
Hyperplane and Truncated 5-cell · Hyperplane 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 5-cell · 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 5-cell · Norman Johnson (mathematician) and Uniform 4-polytope ·
Octahedron
In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.
Octahedron and Truncated 5-cell · Octahedron and Uniform 4-polytope ·
Polytope
In elementary geometry, a polytope is a geometric object with "flat" sides.
Polytope and Truncated 5-cell · Polytope and Uniform 4-polytope ·
Rectified 5-cell
In four-dimensional geometry, the rectified 5-cell is a uniform 4-polytope composed of 5 regular tetrahedral and 5 regular octahedral cells.
Rectified 5-cell and Truncated 5-cell · Rectified 5-cell and Uniform 4-polytope ·
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 Truncated 5-cell · Runcinated 5-cell 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 5-cell · 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 5-cell · Schlegel diagram and Uniform 4-polytope ·
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.
Tesseract and Truncated 5-cell · Tesseract and Uniform 4-polytope ·
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.
Tetrahedron and Truncated 5-cell · Tetrahedron and Uniform 4-polytope ·
Triangle
A triangle is a polygon with three edges and three vertices.
Triangle and Truncated 5-cell · 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 5-cell · Truncated 24-cells and Uniform 4-polytope ·
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.
Truncated 5-cell and Truncated 5-cell · Truncated 5-cell and Uniform 4-polytope ·
Truncated tetrahedron
In geometry, the truncated tetrahedron is an Archimedean solid.
Truncated 5-cell 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 5-cell 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 5-cell 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 5-cell and Wythoff construction · Uniform 4-polytope and Wythoff construction ·
5-cell
In geometry, the 5-cell is a four-dimensional object bounded by 5 tetrahedral cells.
5-cell and Truncated 5-cell · 5-cell and Uniform 4-polytope ·
The list above answers the following questions
- What Truncated 5-cell and Uniform 4-polytope have in common
- What are the similarities between Truncated 5-cell and Uniform 4-polytope
Truncated 5-cell and Uniform 4-polytope Comparison
Truncated 5-cell has 50 relations, while Uniform 4-polytope has 145. As they have in common 27, the Jaccard index is 13.85% = 27 / (50 + 145).
References
This article shows the relationship between Truncated 5-cell and Uniform 4-polytope. To access each article from which the information was extracted, please visit: