@KennyPark it's the snowflake symmetry. Every snowflake crystal has 3 or 6-fold symmetry and yet they still have huge diversity. Much more surprising and beautiful than random potato lumps.
@lumpenpro Symmetry suggests to me that there should only be a few designs as symmetry is a huge restriction. But miraculously there are still huge numbers of different designs, all beautiful because of the symmetry.