Only Odd Numbers Are Symmetric
2022-10-08 | tags : Numbers | Primes | Symmetry
If 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.