Echinodermania
Polyhedral Forms

George W. Hart

These are imagined undersea creatures based on the {5,4,5,4} hyperbolic tessellation. The example above has a dodecahedral form.

This computer rendering shows some of my intended details that were too small to fabricate.

The above example has an icosahedral form. Compared to the computer model below,
you can see that the intended fine peripheral details were too small to reproduce.

Each is about 4 inches in diameter and made of nylon by selective laser sintering.
I colored them to help show aspects of their form, but they are difficult to understand from images.
There is a paper describing the mathematics here.