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.