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Group (mathematics) and Regular polytope

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

Difference between Group (mathematics) and Regular polytope

Group (mathematics) vs. Regular polytope

In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility. In mathematics, a regular polytope is a polytope whose symmetry group acts transitively on its flags, thus giving it the highest degree of symmetry.

Similarities between Group (mathematics) and Regular polytope

Group (mathematics) and Regular polytope have 12 things in common (in Unionpedia): Arthur Cayley, Augustin-Louis Cauchy, Complex number, Equilateral triangle, Euclidean space, Group action, Mathematics, Number theory, String theory, Symmetry, Symmetry group, Tessellation.

Arthur Cayley

Arthur Cayley F.R.S. (16 August 1821 – 26 January 1895) was a British mathematician.

Arthur Cayley and Group (mathematics) · Arthur Cayley and Regular polytope · See more »

Augustin-Louis Cauchy

Baron Augustin-Louis Cauchy FRS FRSE (21 August 178923 May 1857) was a French mathematician, engineer and physicist who made pioneering contributions to several branches of mathematics, including: mathematical analysis and continuum mechanics.

Augustin-Louis Cauchy and Group (mathematics) · Augustin-Louis Cauchy and Regular polytope · See more »

Complex number

A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.

Complex number and Group (mathematics) · Complex number and Regular polytope · See more »

Equilateral triangle

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

Equilateral triangle and Group (mathematics) · Equilateral triangle and Regular polytope · See more »

Euclidean space

In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.

Euclidean space and Group (mathematics) · Euclidean space and Regular polytope · See more »

Group action

In mathematics, an action of a group is a formal way of interpreting the manner in which the elements of the group correspond to transformations of some space in a way that preserves the structure of that space.

Group (mathematics) and Group action · Group action and Regular polytope · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

Group (mathematics) and Mathematics · Mathematics and Regular polytope · See more »

Number theory

Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.

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String theory

In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called strings.

Group (mathematics) and String theory · Regular polytope and String theory · See more »

Symmetry

Symmetry (from Greek συμμετρία symmetria "agreement in dimensions, due proportion, arrangement") in everyday language refers to a sense of harmonious and beautiful proportion and balance.

Group (mathematics) and Symmetry · Regular polytope and Symmetry · See more »

Symmetry group

In group theory, the symmetry group of an object (image, signal, etc.) is the group of all transformations under which the object is invariant with composition as the group operation.

Group (mathematics) and Symmetry group · Regular polytope and Symmetry group · See more »

Tessellation

A tessellation of a flat surface is the tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps.

Group (mathematics) and Tessellation · Regular polytope and Tessellation · See more »

The list above answers the following questions

Group (mathematics) and Regular polytope Comparison

Group (mathematics) has 345 relations, while Regular polytope has 124. As they have in common 12, the Jaccard index is 2.56% = 12 / (345 + 124).

References

This article shows the relationship between Group (mathematics) and Regular polytope. To access each article from which the information was extracted, please visit:

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