Mathematically, such objects are described as exhibiting rotational symmetry, for being “invariant under rotation.” Such objects have a point (in 2-D) or an axis (in 3-D) about which an object ...

In the mathematical sense, an object has rotational symmetry if there is an axis around which you can spin it so that at the end of a less-than-complete rotation, it looks just the same as it did ...

Tiny strains in a crystal can cause electrons to behave in a surprising way that closely resembles a highly sought-after ...

In quasicrystals, the "atomic positions along each symmetry axis are described by a sum of two or more periodic functions whose wavelengths have an irrational ratio." This difference in how ...

Now we introduce symmetry by rearranging the field of Bistable Quartets to form a “butterfly” pattern, which is bilaterally symmetric across the vertical axis. An extraordinary thing happens ...