## Translational Symmetry

In geometry, a translation "slides" an object by a **a**: *T*_{a}(**p**) = **p** + **a**.

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### Some articles on translational symmetry:

Glide Reflection

... In the case of glide reflection

... In the case of glide reflection

**symmetry**, the**symmetry**group of an object contains a glide reflection, and hence the group generated by it ... Example pattern with this**symmetry**group + + +++ +++ +++ + Frieze group nr ... Example pattern with this**symmetry**group + + + + + + + + + For any**symmetry**group containing some glide reflection**symmetry**, the translation vector of any glide reflection is one half of an ...Formal Treatment - Rotational Symmetry With

2-fold rotational

**Translational Symmetry**2-fold rotational

**symmetry**together with single**translational symmetry**is one of the Frieze groups ... Together with double**translational symmetry**the rotation groups are the following wallpaper groups, with axes per primitive cell p2 (2222) 4Ã—2-fold rotation group of a parallelogrammic ... lattice is upside-down the same, but that does not apply for this**symmetry**) it is e.g ...Lattice Points - Symmetry Considerations and Examples

... A lattice is the

... A lattice is the

**symmetry**group of discrete**translational symmetry**in n directions ... A pattern with this lattice of**translational symmetry**cannot have more, but may have less**symmetry**than the lattice itself ... or molecule positions in a crystal, or more generally, the orbit of a group action under**translational symmetry**, is a translate of the translation lattice a coset, which need not ...Fracton

... Phonons are the result of applying

... Phonons are the result of applying

**translational symmetry**to the potential in a SchrÃ¶dinger equation ... Fractal self-similarity can be thought of as a**symmetry**somewhat comparable to**translational symmetry**...**Translational symmetry**is**symmetry**under displacement or change of position, and self-similarity is**symmetry**under change of scale ...### Famous quotes containing the word symmetry:

“What makes a regiment of soldiers a more noble object of view than the same mass of mob? Their arms, their dresses, their banners, and the art and artificial *symmetry* of their position and movements.”

—George Gordon Noel Byron (1788–1824)

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