# symmetry-so2-vector-field-flow.mp4

Chapter section: Symmetry Flows

Caption (verbatim):

Symmetry flows provide a rich picture of symmetry transformations

Image description (verbatim):

Rotation generator as a vector field

## Before the animation

Chapter lines 330–330:

We can think of a symmetry transform as a "uniform looking" vector field, as illustrated below:

## After the animation

Chapter lines 338–338:

Here we ask not what happens when the transformation is applied to a single set of starting conditions, but what the transformation does to all starting conditions. This view lends itself to seeing the structure in the evolution of a collection of nearby states.