## Only Odd Numbers Are Symmetric

tags | Numbers | Primes | SymmetryIf `1`

is the unit (not really a number isn't it?), only odd numbers are symmetric.

The role of the number `1`

is to maintain unity: symmetrically splitting odd numbers (i.e. dividing by two) reveals their hidden symmetry (a new number?)

Dividing by `2`

even numbers 'breaks' the original number into two distinct numbers, leaving the impossibility of having a symmetric unit.

I can't help but think that this has something to do with splitting things into categories.