Courtesy of This shows examples of the seven families of symmetry groups with six-fold rotational symmetry. Andrew Kepert/Wikipedia Grossman is particularly intrigued with the symmetry group of ...

Rotational invariance is a symmetry exhibited by the circle: Rotate it any number of degrees and it looks the same. In the context of physical systems on the brink of phase changes, it means many ...

There is an identity symmetry (rotation by 0 degrees) that acts just as the number zero acts in our number system. And every symmetry can be undone, just as adding 3 can be undone by adding –3: For ...

The physicists had required a proof in three steps, one for each symmetry present in conformal invariance: translational, rotational and scale invariance. Prove each of them separately, and you ...