On getting to know the work of Noam David Elkies

Noam Elkies,  Harvard University, Cambridge, Massachusetts

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. Balakrishnan, Noam Elkies, Brendan Hassett, Bjorn Poonen, Andrew V. Sutherland, John Voight, conference proceedings, 2021
Homepage(s): ads, dblp, Harvard-Radcliffe, LifeWiki, Prabook
Publications
Twitter: Pickover, Eric Weinstein,
Wikipedia
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.

Warmly,

Bruce

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

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Bruce E. Camber
https://81018.com

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