''Tangled Tesseract''

Really beautiful work, Dave!

I LOVE THIS !!!! This would look great hanging in the Andy Warhol museum here in Pittsburgh . I can't stop looking at it .I wish I knew how to do these .

As for 'how it's done'... 

It would require a book-length article just to describe the basics. 

I use a special type of 3-D image creation software that allows for nearly infinite control of every aspect of an image.  As many as 500 separate parts can be combined, all in a three-dimensional work-space.

Although I do not do so, these images can be animated.  To do so, with synchronized score, can take weeks of preparation and hundreds of hours of rendering time on a fast quad-core computer.