Last email: 5 April 2010
Dear Christopher Hitchens:
I wonder if you have a quick answer to these questions:
• What is the most simple three dimensional structure?
Some argue for a sphere, but the tetrahedron generally wins the day.
• What perfectly fills out the inside of a tetrahedron?
It is a kindergarten question that most adults have not a clue, including our finest scientists and philosophers. Why is it important? It is what is. It is immutable. There are four tetrahedron in each corner and one octahedron in the middle.
• What perfectly fills out the inside of an octahedron?
Even the inventor of surreal numbers and “geometer par excellence” John Conway of Princeton, hesitated momentarily. No one else has ever answered the question. Most believe it to be of no significant import. I think that is so mistaken.
We see here three “penultimates” of life, continuity/order, symmetry/relations and dynamics/harmony and we begin to see the reasons for both Aristotle and Plato (I am working on the “For more…”).