User:Alemagno12/Dimensional Index

A combination of Googology and Dimensions. Sweet!

Dimensional Index of Numerical Order
First, a short definition:

We define the dimensional index of any structure as the classification of it relative to the dimension its contained within.

For example: A cube has dimensional index of 3. A point has dimensional index of 0. A pentagon has a dimensional index of 2.

Dimensional Index of Polynomial Order
We add X to the index if the dimension goes up by one hyperdimension, if it trascends the current hyperdimension of dimensions. Normal dimensions have an hyperdimension of 0.

Higher Dimensions in Dimensional Index
We add X^2 to the index if the hyperdimension goes up by one hyperhyperdimension, if it trascends the current hyperhyperdimension of hyperdimensions. Normal hyperdimensions have an hyperhyperdimension of 0.

WIP