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

Tesseract and Uniform 4-polytope

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

Difference between Tesseract and Uniform 4-polytope

Tesseract vs. Uniform 4-polytope

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. 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 Tesseract and Uniform 4-polytope

Tesseract and Uniform 4-polytope have 26 things in common (in Unionpedia): Cartesian product, Coxeter element, Cube, Dual polyhedron, Duoprism, Emanuel Lodewijk Elte, Geometry, Harold Scott MacDonald Coxeter, Hexagonal prism, Hyperplane, Isogonal figure, John Horton Conway, Ludwig Schläfli, Norman Johnson (mathematician), Polytope, Prism (geometry), Rectified tesseract, Regular 4-polytope, Regular polytope, Runcinated 5-cell, Schläfli symbol, Schlegel diagram, Tetrahedron, Thorold Gosset, Vertex figure, 16-cell.

Cartesian product

In set theory (and, usually, in other parts of mathematics), a Cartesian product is a mathematical operation that returns a set (or product set or simply product) from multiple sets.

Cartesian product and Tesseract · Cartesian product and Uniform 4-polytope · See more »

Coxeter element

In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group.

Coxeter element and Tesseract · Coxeter element and Uniform 4-polytope · See more »

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 Tesseract · Cube and Uniform 4-polytope · See more »

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 Tesseract · Dual polyhedron and Uniform 4-polytope · See more »

Duoprism

In geometry of 4 dimensions or higher, a duoprism is a polytope resulting from the Cartesian product of two polytopes, each of two dimensions or higher.

Duoprism and Tesseract · Duoprism 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 Tesseract · 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 Tesseract · 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 Tesseract · Harold Scott MacDonald Coxeter and Uniform 4-polytope · See more »

Hexagonal prism

In geometry, the hexagonal prism is a prism with hexagonal base.

Hexagonal prism and Tesseract · Hexagonal prism 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 Tesseract · 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 Tesseract · Isogonal figure and Uniform 4-polytope · See more »

John Horton Conway

John Horton Conway FRS (born 26 December 1937) is an English mathematician active in the theory of finite groups, knot theory, number theory, combinatorial game theory and coding theory.

John Horton Conway and Tesseract · John Horton Conway and Uniform 4-polytope · See more »

Ludwig Schläfli

Ludwig Schläfli (15 January 1814 – 20 March 1895) was a Swiss mathematician, specialising in geometry and complex analysis (at the time called function theory) who was one of the key figures in developing the notion of higher-dimensional spaces.

Ludwig Schläfli and Tesseract · Ludwig Schläfli 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 Tesseract · Norman Johnson (mathematician) and Uniform 4-polytope · See more »

Polytope

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

Polytope and Tesseract · Polytope and Uniform 4-polytope · See more »

Prism (geometry)

In geometry, a prism is a polyhedron comprising an n-sided polygonal base, a second base which is a translated copy (rigidly moved without rotation) of the first, and n other faces (necessarily all parallelograms) joining corresponding sides of the two bases.

Prism (geometry) and Tesseract · Prism (geometry) and Uniform 4-polytope · See more »

Rectified tesseract

In geometry, the rectified tesseract, rectified 8-cell is a uniform 4-polytope (4-dimensional polytope) bounded by 24 cells: 8 cuboctahedra, and 16 tetrahedra.

Rectified tesseract and Tesseract · Rectified tesseract and Uniform 4-polytope · See more »

Regular 4-polytope

In mathematics, a regular 4-polytope is a regular four-dimensional polytope.

Regular 4-polytope and Tesseract · Regular 4-polytope and Uniform 4-polytope · See more »

Regular polytope

In mathematics, a regular polytope is a polytope whose symmetry group acts transitively on its flags, thus giving it the highest degree of symmetry.

Regular polytope and Tesseract · Regular polytope 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 Tesseract · 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 Tesseract · 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 Tesseract · Schlegel diagram 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.

Tesseract and Tetrahedron · Tetrahedron and Uniform 4-polytope · See more »

Thorold Gosset

John Herbert de Paz Thorold Gosset (16 October 1869 – December 1962) was an English lawyer and an amateur mathematician.

Tesseract and Thorold Gosset · Thorold Gosset 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.

Tesseract and Vertex figure · Uniform 4-polytope and Vertex figure · See more »

16-cell

In four-dimensional geometry, a 16-cell is a regular convex 4-polytope.

16-cell and Tesseract · 16-cell and Uniform 4-polytope · See more »

The list above answers the following questions

Tesseract and Uniform 4-polytope Comparison

Tesseract has 83 relations, while Uniform 4-polytope has 145. As they have in common 26, the Jaccard index is 11.40% = 26 / (83 + 145).

References

This article shows the relationship between Tesseract and Uniform 4-polytope. To access each article from which the information was extracted, please visit:

Hey! We are on Facebook now! »