Complex sentence: It is only when such locations are linked together into more complicated shapes that the full richness and geometric complexity of 4D and higher spaces emerges.This complexityy can be seen in the accompanying animation of one of simplest possible 4D objects, the 4D cube or tesseract.
Split into simpler sentences: It is only when such locations are linked together into more complicated shapes that the full richness and geometric complexity of 4D and higher spaces emerges. A hint of that complexity can be seen in the accompanying animation of one of simplest possible 4D objects, the 4D cube or tesseract.