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Hypercube and Uniform polytope

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

Difference between Hypercube and Uniform polytope

Hypercube vs. Uniform polytope

In geometry, a hypercube is an ''n''-dimensional analogue of a square and a cube. A uniform polytope of dimension three or higher is a vertex-transitive polytope bounded by uniform facets.

Similarities between Hypercube and Uniform polytope

Hypercube and Uniform polytope have 23 things in common (in Unionpedia): Coxeter–Dynkin diagram, Cross-polytope, Cube, Edge (geometry), Face (geometry), Harold Scott MacDonald Coxeter, Hypercube, Hypersphere, Octagram, Polygon, Polytope, Regular polygon, Regular polytope, Schläfli symbol, Simplex, Square, Tesseract, Uniform 10-polytope, Uniform 7-polytope, Uniform 8-polytope, Uniform 9-polytope, Vertex (geometry), Vertex figure.

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 Hypercube · Coxeter–Dynkin diagram and Uniform polytope · See more »

Cross-polytope

In geometry, a cross-polytope, orthoplex, hyperoctahedron, or cocube is a regular, convex polytope that exists in n-dimensions.

Cross-polytope and Hypercube · Cross-polytope and Uniform 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 Hypercube · Cube and Uniform polytope · See more »

Edge (geometry)

In geometry, an edge is a particular type of line segment joining two vertices in a polygon, polyhedron, or higher-dimensional polytope.

Edge (geometry) and Hypercube · Edge (geometry) and Uniform polytope · See more »

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 Hypercube · Face (geometry) and Uniform 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 Hypercube · Harold Scott MacDonald Coxeter and Uniform polytope · See more »

Hypercube

In geometry, a hypercube is an ''n''-dimensional analogue of a square and a cube.

Hypercube and Hypercube · Hypercube and Uniform polytope · See more »

Hypersphere

In geometry of higher dimensions, a hypersphere is the set of points at a constant distance from a given point called its center.

Hypercube and Hypersphere · Hypersphere and Uniform polytope · See more »

Octagram

In geometry, an octagram is an eight-angled star polygon.

Hypercube and Octagram · Octagram and Uniform polytope · See more »

Polygon

In elementary geometry, a polygon is a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a closed polygonal chain or circuit.

Hypercube and Polygon · Polygon and Uniform polytope · See more »

Polytope

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

Hypercube and Polytope · Polytope and Uniform polytope · See more »

Regular polygon

In Euclidean geometry, a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length).

Hypercube and Regular polygon · Regular polygon and Uniform 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.

Hypercube and Regular polytope · Regular polytope and Uniform polytope · See more »

Schläfli symbol

In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.

Hypercube and Schläfli symbol · Schläfli symbol and Uniform polytope · See more »

Simplex

In geometry, a simplex (plural: simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions.

Hypercube and Simplex · Simplex and Uniform polytope · See more »

Square

In geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, or (100-gradian angles or right angles). It can also be defined as a rectangle in which two adjacent sides have equal length. A square with vertices ABCD would be denoted.

Hypercube and Square · Square and Uniform 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.

Hypercube and Tesseract · Tesseract and Uniform polytope · See more »

Uniform 10-polytope

In ten-dimensional geometry, a 10-polytope is a 10-dimensional polytope whose boundary consists of 9-polytope facets, exactly two such facets meeting at each 8-polytope ridge.

Hypercube and Uniform 10-polytope · Uniform 10-polytope and Uniform polytope · See more »

Uniform 7-polytope

In seven-dimensional geometry, a 7-polytope is a polytope contained by 6-polytope facets.

Hypercube and Uniform 7-polytope · Uniform 7-polytope and Uniform polytope · See more »

Uniform 8-polytope

In eight-dimensional geometry, an eight-dimensional polytope or 8-polytope is a polytope contained by 7-polytope facets.

Hypercube and Uniform 8-polytope · Uniform 8-polytope and Uniform polytope · See more »

Uniform 9-polytope

In nine-dimensional geometry, a nine-dimensional polytope or 9-polytope is a polytope contained by 8-polytope facets.

Hypercube and Uniform 9-polytope · Uniform 9-polytope and Uniform polytope · See more »

Vertex (geometry)

In geometry, a vertex (plural: vertices or vertexes) is a point where two or more curves, lines, or edges meet.

Hypercube and Vertex (geometry) · Uniform polytope and Vertex (geometry) · 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.

Hypercube and Vertex figure · Uniform polytope and Vertex figure · See more »

The list above answers the following questions

Hypercube and Uniform polytope Comparison

Hypercube has 73 relations, while Uniform polytope has 150. As they have in common 23, the Jaccard index is 10.31% = 23 / (73 + 150).

References

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

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