A Matter of Trans-finite Sets and a Good Algorithm

I wonder if one could write an algorithm using calculus within trans-finite set theory (series) such as Cantor developed for sets to construct shapes logically branching to create new kinds of series? If intervals and point coordinates are nominal ontologically from monism, any structure of coordinates and intervals inclusive of relativistically altered shapes probably can be created for n-topologies with a decent algorithm compounding itself infinitely  constructing dimensions.

If  I had taken calculus in college I would write the algorithm myself.

http://en.wikipedia.org/wiki/Georg_Cantor