I have decided to build in book around the golden rectangle and its dimensions... it reinforces the idea that there are an infinite number of Utopian societies.
The model will be composed of several books all in the same unit. Each book will be a square of a different size. The inner most section will be heaven and the utopias will move out from there.
The is an early model of the unit of books idea:

The green piece represents on of the "books" in this unit.