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4-polytope and Edge (geometry)

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

Difference between 4-polytope and Edge (geometry)

4-polytope vs. Edge (geometry)

In geometry, a 4-polytope (sometimes also called a polychoron, polycell, or polyhedroid) is a four-dimensional polytope. In geometry, an edge is a particular type of line segment joining two vertices in a polygon, polyhedron, or higher-dimensional polytope.

Similarities between 4-polytope and Edge (geometry)

4-polytope and Edge (geometry) have 12 things in common (in Unionpedia): Convex polytope, Cube, Euler characteristic, Face (geometry), Geometry, Line segment, Polygon, Polyhedron, Polytope, Square, Tesseract, Vertex (geometry).

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.

4-polytope and Convex polytope · Convex polytope and Edge (geometry) · 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.

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Euler characteristic

In mathematics, and more specifically in algebraic topology and polyhedral combinatorics, the Euler characteristic (or Euler number, or Euler–Poincaré characteristic) is a topological invariant, a number that describes a topological space's shape or structure regardless of the way it is bent.

4-polytope and Euler characteristic · Edge (geometry) and Euler characteristic · 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.

4-polytope and Face (geometry) · Edge (geometry) and Face (geometry) · 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.

4-polytope and Geometry · Edge (geometry) and Geometry · See more »

Line segment

In geometry, a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints.

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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.

4-polytope and Polygon · Edge (geometry) and Polygon · See more »

Polyhedron

In geometry, a polyhedron (plural polyhedra or polyhedrons) is a solid in three dimensions with flat polygonal faces, straight edges and sharp corners or vertices.

4-polytope and Polyhedron · Edge (geometry) and Polyhedron · See more »

Polytope

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

4-polytope and Polytope · Edge (geometry) and 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.

4-polytope and Square · Edge (geometry) and Square · 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.

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Vertex (geometry)

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

4-polytope and Vertex (geometry) · Edge (geometry) and Vertex (geometry) · See more »

The list above answers the following questions

4-polytope and Edge (geometry) Comparison

4-polytope has 83 relations, while Edge (geometry) has 26. As they have in common 12, the Jaccard index is 11.01% = 12 / (83 + 26).

References

This article shows the relationship between 4-polytope and Edge (geometry). To access each article from which the information was extracted, please visit:

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