Euclidean plane isometry and Isometry

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

Difference between Euclidean plane isometry and Isometry

Euclidean plane isometry vs. Isometry

In geometry, a Euclidean plane isometry is an isometry of the Euclidean plane, or more informally, a way of transforming the plane that preserves geometrical properties such as length. In mathematics, an isometry (or congruence, or congruent transformation) is a distance-preserving transformation between metric spaces, usually assumed to be bijective.

Similarities between Euclidean plane isometry and Isometry

Euclidean plane isometry and Isometry have 8 things in common (in Unionpedia): Congruence (geometry), Function composition, Group (mathematics), Involution (mathematics), Isomorphism, Reflection (mathematics), Space group, Translation (geometry).

Congruence (geometry)

In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

Congruence (geometry) and Euclidean plane isometry · Congruence (geometry) and Isometry · See more »

Function composition

In mathematics, function composition is the pointwise application of one function to the result of another to produce a third function.

Euclidean plane isometry and Function composition · Function composition and Isometry · See more »

Group (mathematics)

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.

Euclidean plane isometry and Group (mathematics) · Group (mathematics) and Isometry · See more »

Involution (mathematics)

In mathematics, an involution, or an involutory function, is a function that is its own inverse, for all in the domain of.

Euclidean plane isometry and Involution (mathematics) · Involution (mathematics) and Isometry · See more »

Isomorphism

In mathematics, an isomorphism (from the Ancient Greek: ἴσος isos "equal", and μορφή morphe "form" or "shape") is a homomorphism or morphism (i.e. a mathematical mapping) that can be reversed by an inverse morphism.

Euclidean plane isometry and Isomorphism · Isometry and Isomorphism · See more »

Reflection (mathematics)

In mathematics, a reflection (also spelled reflexion) is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed points; this set is called the axis (in dimension 2) or plane (in dimension 3) of reflection.

Euclidean plane isometry and Reflection (mathematics) · Isometry and Reflection (mathematics) · See more »

Space group

In mathematics, physics and chemistry, a space group is the symmetry group of a configuration in space, usually in three dimensions.

Euclidean plane isometry and Space group · Isometry and Space group · See more »

Translation (geometry)

In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure or a space by the same distance in a given direction.

Euclidean plane isometry and Translation (geometry) · Isometry and Translation (geometry) · See more »

The list above answers the following questions

What Euclidean plane isometry and Isometry have in common
What are the similarities between Euclidean plane isometry and Isometry

Euclidean plane isometry and Isometry Comparison

Euclidean plane isometry has 56 relations, while Isometry has 59. As they have in common 8, the Jaccard index is 6.96% = 8 / (56 + 59).

References

This article shows the relationship between Euclidean plane isometry and Isometry. To access each article from which the information was extracted, please visit:

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