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5-polytope and Euclidean space

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

Difference between 5-polytope and Euclidean space

5-polytope vs. Euclidean space

In five-dimensional geometry, a five-dimensional polytope or 5-polytope is a 5-dimensional polytope, bounded by (4-polytope) facets. In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.

Similarities between 5-polytope and Euclidean space

5-polytope and Euclidean space have 8 things in common (in Unionpedia): Cartesian product, Cube, Geometry, Hyperplane, Line segment, Point (geometry), Polygon, Polyhedron.

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.

5-polytope and Cartesian product · Cartesian product and Euclidean space · 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.

5-polytope and Cube · Cube and Euclidean space · 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.

5-polytope and Geometry · Euclidean space and Geometry · See more »

Hyperplane

In geometry, a hyperplane is a subspace whose dimension is one less than that of its ambient space.

5-polytope and Hyperplane · Euclidean space and Hyperplane · 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.

5-polytope and Line segment · Euclidean space and Line segment · See more »

Point (geometry)

In modern mathematics, a point refers usually to an element of some set called a space.

5-polytope and Point (geometry) · Euclidean space and Point (geometry) · 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.

5-polytope and Polygon · Euclidean space 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.

5-polytope and Polyhedron · Euclidean space and Polyhedron · See more »

The list above answers the following questions

5-polytope and Euclidean space Comparison

5-polytope has 50 relations, while Euclidean space has 191. As they have in common 8, the Jaccard index is 3.32% = 8 / (50 + 191).

References

This article shows the relationship between 5-polytope and Euclidean space. To access each article from which the information was extracted, please visit:

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