INFINITE SPONGE POLYHEDRAL SURFACES
PERIODIC SPONGE SURFACES AND UNIFORM SPONGE POLYHEDRA IN NATURE AND IN THE REALM OF THE THEORETICALLY IMAGINABLE
By Michael Burt- Prof emeritus, Technion, I.I.T. Haifa Israel
The diversity of shapes and forms which meet the eye is overwhelming. They shape our environment: physical, mental, intellectual. Theirs is a dynamic milieu; time induced transformation, flowing with the change of light, with the relative movement of the eye, with physical and biological transformation and the evolutionary development of the perceiving mind.
A particular interest should be focused on those structures which are shaped like solids or containers, with continuous two-manifold enveloping surfaces, enclosing a volume of space and thus subdividing the entire space into two complementary subspaces, sometimes referred to as interior and exterior, although telling which is which, is a relativistic notion. On each of these envelopes, topologically speaking, an infinite number of different maps composed of polygonal regions (faces), which are bounded by sets of edge segments and vertices, could be drawn, represent what we call polyhedra, or polyhedral envelopes.
ORIGINAL SKETCHES [CLICK ON SKETCH]
 |  |  |  |
|---|---|---|---|
 |