Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Android™ device!
Free
Faster access than browser!
 

Truncated 5-cell and Uniform 4-polytope

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Truncated 5-cell and Uniform 4-polytope

Truncated 5-cell vs. Uniform 4-polytope

In geometry, a truncated 5-cell is a uniform 4-polytope (4-dimensional uniform polytope) formed as the truncation of the regular 5-cell. 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.

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 · See more »

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 · See more »

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 · See more »

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 · See more »

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 · See more »

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 · See more »

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 · See more »

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 · See more »

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 · See more »

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 · See more »

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 · See more »

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 · See more »

Polytope

In elementary geometry, a polytope is a geometric object with "flat" sides.

Polytope and Truncated 5-cell · Polytope and Uniform 4-polytope · See more »

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 · See more »

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 · See more »

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 · See more »

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 · See more »

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 · See more »

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 · See more »

Triangle

A triangle is a polygon with three edges and three vertices.

Triangle and Truncated 5-cell · Triangle and Uniform 4-polytope · See more »

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 · See more »

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 · See more »

Truncated tetrahedron

In geometry, the truncated tetrahedron is an Archimedean solid.

Truncated 5-cell and Truncated tetrahedron · Truncated tetrahedron and Uniform 4-polytope · See more »

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 · See more »

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 · See more »

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 · See more »

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 · See more »

The list above answers the following questions

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:

Hey! We are on Facebook now! »