====== Local Symmetry ======

<tabbox Intuitive> 


A prototypical example of a system with local symmetry is a grid of completely black balls. 

TODO IMAGE GRID OF BILLARD BALLS.

We can rotate each ball individually and no observer could tell the difference. Hence this system has a local rotational symmetry.

The symmetry vanishes as soon as we put a little red dot onto each ball. Now it's easy to keep track of the orientation of each ball and there is no longer any local symmetry. 
 

----

{{ :advanced_tools:localtransformations.png?nolink&600 |}}
<tabbox Concrete> 

<note tip>
In this section things should be explained by analogy and with pictures and, if necessary, some formulas.
</note>
 
<tabbox Abstract> 

<note tip>
The motto in this section is: //the higher the level of abstraction, the better//.
</note>

<tabbox Why is it interesting?>   

/*<tabbox FAQ>*/ 

/*<tabbox History>*/ 

</tabbox>