With some time and money ... imagine the cool mathematical art you could create:
"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman
It says that shapeways will make a 3D model of whatever pictures you upload to them. Then deliver it to your door within 10 days. I am guessing it is not cheap.
In mathematics, you don't understand things. You just get used to them.
I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.