On getting to know the work of Noam David Elkies

Noam Elkies,  Harvard UniversityCambridgeMassachusetts

Articles: Skilled at the Chessboard, Keyboard and Blackboard, Dylan McClain, NYT, 2010
ArXiv (48): Equations for a K3 Lehmer map, 2021
Books: Arithmetic Geometry, Number Theory, and Computation, eds. Jennifer S. BalakrishnanNoam ElkiesBrendan HassettBjorn PoonenAndrew V. SutherlandJohn Voight, conference proceedings, 2021
Homepage(s): ads, dblp, Harvard-Radcliffe, LifeWiki, Prabook
Twitter: Pickover, Eric Weinstein,
YouTube: K3 surfaces and elliptic fibrations in number theory, 2018

First email: July 7, 2022

Dear Prof. Dr. Noam Elkies:

Your history is breathtaking. I would be honored to have you read about our intellectual conundrum.

We have been working with the Platonic geometries in our high school and cannot find any references online to a very simple geometric figure of five octahedrons, all sharing a centerpoint, and three sharing two faces with another octahedron, and two sharing only one face. It is a very interesting image when the five-tetrahedrons are added on the top and bottom. That stack has 15 objects sharing the centerpoint. I took the picture below just a few weeks ago but, to date, it appears that there is no scholarship has about it.

Have you seen any scholarly analysis of it?  Thank you.



PS The URL: https://81018.com/15-2/
Preliminary analysis: https://81018.com/geometries/
Thanks. -BEC

Five-tetrahedrons, five-octahedrons, five tetrahedrons and their gap

Bruce E. Camber


Note: non-symplectic automorphisms, p-adic lifting, elliptic fibrations and the Kneser neighbor method for integer lattices