Origami Polypolyhedra

I decided that the salient features of FIT that I wanted to replicate were the following:
The structure was composed of units that followed the edges of geometric polyhedra;
The structure must be composed of a single type of origami unit;
The structure must contain multiple polyhedra;
The multiple polyhedra must be linked together;
The structure must hold together by folded locks.
I resolved to find all such structure that satisfied these criteria. Because these structures were compounds of polyhedra, I coined the name polypolyhedra to describe them.

These are what our friend George Hart calls Orderly Tangles.