A New Class of Shapes

Mathematicians find a new class of shapes, 400 years later.  My first article in a blog (a math newsletter)  long ago was on one such class: platonic solids.     " .... Nearly 400 years after the last class was described, mathematicians claim that they may have now identified a new, fourth class, which they call Goldberg polyhedra. In the process of making this discovery, they think they’ve demonstrated that an infinite number of these solids could exist.   'Take a square and blow it up like a balloon .. '  ... ". Applications in design?  Bio mimicry?

At the right an example, like a soccer ball, with each element planar.