**Richard Streit Hamilton**, Columbia University, NYC, NY

Homepage(s): UCSD, Bowen Lectures-Berkeley-2003, Pantheon

Wikipedia

YouTube: The Poincare Conjecture | 2006

Second email: 25 June 2022 at 2:40 PM - Another approach

RE: What do tetrahedrons and octahedrons have to do with anything?

Dear Prof. Dr. Richard Streit Hamilton:

I noticed there was some activity on our page about your work — https://81018.com/hamilton/ — so I went to that page and thought again about all your years of teaching and the progress that has been made. Are you aware of Aristotle’s mistake in basic geometry? It was not caught (and was often quoted as fact) for over 1800 years? It seems to be little-known and hardly discussed today: https://81018.com/geometries/

Is it inconsequential?

Thank you.

Most sincerely,

Bruce

PS. Isn’t it quite remarkable that your PhD thesis is advisor, Robert Gunning, is still with us? 91!

First email: April 30, 2022 at 4 PM

**RE**: Peebles is right. There is no starting point and there’s no consensus about it.

Dear Prof. Dr. Richard Streit Hamilton:

The work of James Peebles, especially when he says that we have no good theory of the beginning, is a key. With no beginning, we’re floating… guessing… untethered… We’re all a little like Mad Max (Tegmark). My high school geometry students might be closer to the truth. They got very close when they worked down inside the tetrahedron and octahedron by doing a base-2 to the Planck scale, then turning around, used Planck Length, and in 202 notations (doublings) were at the edges of the universe… even Planck Time had just passed 13.81 billion years. And, even Conway learned something from our simple, clear-plastic models. When we learned about cubic close-packing of equal spheres and saw tetrahedrons and octahedrons being generated, the sphere became the penultimate. Continuity-symmetry-harmony, the three faces of pi and the boundary between the qualitative and quantitative, between the infinite and finite, bridged the gap.

Are we crazy? Of course, the answer is, “Yes!”

I thought you would find such a confession of interest. Thanks.

Warmly,

Bruce

PS. If at the Planck scale or Stoney scale (or a similarly-defined scale), that is all there is — infinitesimal-primordial spheres each defining space-time. The area outside each infinitesimal-primordial sphere (usually associated with packing density, voids, and sometimes called interstitial, either does not exist or is on the bridge between the finite and infinite. -BEC

**************

Bruce E. Camber

http://81018.com