Complex sentence: Adding to the naturally existing trio of real dimensions has in practice proved to be an incredibly powerful foundation concept for both modern mathematics and physics, providing a rich and diverse framework with which to analyze and understand problems in both of these domains.
Split into simpler sentences: Adding to the naturally existing trio of natural dimensions has in practice proved to be an incredibly powerful concept, one that has in fact become one of the foundation concepts of all of modern mathematics and physics. Such additions provide an incredibly rich and diverse framework with which to analyze and understand both of these domains.