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Only Odd Numbers Are Symmetric

tags | Numbers | Primes | Symmetry
Simple geometry: Symmetry in odd numbers

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.

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