---
title: "Ivory: Manifest Decimation"
---
> | I will forge my own world, my own law
> | And if broken, my dragons will decimate
> | Without a single word ever spoken
— Machinae Supremacy, *My Dragons Will Decimate*
TODO:
- (Finite) decimal fractions are closed under addition, multiplication, etc.
- Have a familiar representation
## Dyadic ##
> If you can count to two, you can count to anything!
— Constable Cuddy, *Men At Arms* by Terry Pratchett
TODO:
- `dyadic` numbers are finite binary decimals (i.e. an integer over a power of
two)
- Dyad refers to their two-ness; like triad is for three-ness
- Dyadic numbers are a subset of decimals, where the numerators are powers of
five (since 5/10 is 1/2)
- Floating point numbers are a subset of `dyadic`
- Closed under addition, multiplication, etc.