Only Odd Numbers Are Symmetrictags | Numbers | Primes | Symmetry
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?)
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.