"The Code"

I recently saw a video called "The Code". In one segment a man was in a darkened room with a very light air current flowing up from the floor. He was using a little kids toy to blow soap bubbles and had great ability to capture those bubbles intact. He could attach two bubbles together and then three, six and even ten! After the bubbles were joined he was somehow able to use some kind of needle point straw to inject a colored dye into the geometric shape formed in the center (the trigonal pyramid, the cube and even a dodecahedron.) After wasting nearly 20 dollars on bubble toys I decided instead to turn to Mathcad. Am wondering if such a picture can be generated highlighting the shapes formed by intersecting spheres.