Simetría dilatada

Simetría dilatada, también llamada la dilatación de simetría o simetría de ampliación, se refiere a la similitud de los patrones que se pueden observar en varios niveles de magnificación. Cuando el diseño que presenta simetría dilatada se agranda, el modelo similar en que la geometría en el nivel de ampliación más pequeña puede ser fácilmente superpuesto sobre la geometría en el nivel más alto de magnificación.


In geometry, a translation "slides" a thing by a: Ta(p) = p + a.

In physics and mathematics, continuous translational symmetry is the invariance of a system of equations under any translation. Discrete translational symmetry is invariant under discrete translation.

Analogously an operator A on functions is said to be translationally invariant with respect to a translation operator {\displaystyle T_{\delta }} T_{\delta } if the result after applying A doesn't change if the argument function is translated. More precisely it must hold that

{\displaystyle \forall \delta \ Af=A(T_{\delta }f).\,} \forall \delta \ Af=A(T_{\delta }f).\,
Laws of physics are translationally invariant under a spatial translation if they do not distinguish different points in space. According to Noether's theorem, space translational symmetry of a physical system is equivalent to the momentum conservation law.

Translational symmetry of an object means that a particular translation does not change the object. For a given object, the translations for which this applies form a group, the symmetry group of the object, or, if the object has more kinds of symmetry, a subgroup of the symmetry group.

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Note added at 4 hrs (2019-05-23 22:36:16 GMT)
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Source:https://en.wikipedia.org/wiki/Translational_symmetry