Greek closest packing of spheres?

Submitted by Jim Egan on Sat, 2006-05-20 13:31.

Bucky preferred to call the "Platonic solids" the Platonic polyhedra.Indeed, Plato and Archimedes described these shapes in terms of how many sides,and of what shapes these sides were made.

But,I don't picture the Greeks glueing trianglular planes or even sticks together.It seems obvious to me that Plato and Archimedes, and their sources the Pythagoreans ,and their probable sources the Babylonians, made their discoveries using SPHERES. But I can't seem to find any discussion about this in any primary or secondary sources.

Is there any written record of these Fuller-minded ancients using clay balls, round pebbles (like they used for counting), walnuts, or olives held together using tar, sap, wax, or thorns in closest packing of spheres

| posted in: | help