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Euclidean space and Schläfli symbol

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

Difference between Euclidean space and Schläfli symbol

Euclidean space vs. Schläfli symbol

In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces. In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.

Similarities between Euclidean space and Schläfli symbol

Euclidean space and Schläfli symbol have 17 things in common (in Unionpedia): Cartesian product, Cube, Dodecahedron, Equilateral triangle, Euclidean geometry, Geometry, Hyperbolic space, Icosahedron, Line segment, Octahedron, Platonic solid, Point (geometry), Polyhedron, Regular polytope, Simplex, Tetrahedron, Triangle.

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.

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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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Dodecahedron

In geometry, a dodecahedron (Greek δωδεκάεδρον, from δώδεκα dōdeka "twelve" + ἕδρα hédra "base", "seat" or "face") is any polyhedron with twelve flat faces.

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Equilateral triangle

In geometry, an equilateral triangle is a triangle in which all three sides are equal.

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Euclidean geometry

Euclidean geometry is a mathematical system attributed to Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements.

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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.

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Hyperbolic space

In mathematics, hyperbolic space is a homogeneous space that has a constant negative curvature, where in this case the curvature is the sectional curvature.

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Icosahedron

In geometry, an icosahedron is a polyhedron with 20 faces.

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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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Octahedron

In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.

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Platonic solid

In three-dimensional space, a Platonic solid is a regular, convex polyhedron.

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Point (geometry)

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

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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.

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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.

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Simplex

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

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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.

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Triangle

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

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The list above answers the following questions

Euclidean space and Schläfli symbol Comparison

Euclidean space has 191 relations, while Schläfli symbol has 224. As they have in common 17, the Jaccard index is 4.10% = 17 / (191 + 224).

References

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

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