June Huh, Princeton University, Princeton, NJ

• Articles
• ArXiv (26): Stellahedral geometry of matroids (July 2022)
• Homepage(s): CV (PDF), Google Scholar, IAS, Princeton, Wikipedia, YouTube: Introduction

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Most recent email: 23 November 2022 (updated, Feb 1, 2023)

Dear Prof. Dr. June Huh:

Did you happen to see my note from this past July? Of my hundred closest geometer friends (students, faculty, professionals), nobody knew the name of that many-sided tetrahedral-octahedral object with a gap — https://81018.com/15-2/ Perhaps a triantahedron?

It’s a name, but perhaps it could be better.

The triantahedron would have the five octahedra with five tetrahedra on top and five on the bottom.

As a professional, a scholars’ scholar, do you have any suggestions?

Thank you.

Warmly,

Bruce

First email: 5 July 2022 at 3 PM

Dear Prof. Dr. June Huh:

Many geometers, chemists, and physicists know five tetrahedrons sharing a common edge create a gap: https://81018.com/gap/. Most do not know that five octahedrons create the same gap; and that stacked, that gap is a beautiful thing to see: https://81018.com/15-2/ *

My initial study of that gap is here: https://81018.com/geometries/

I have unsuccessfully searched for studies that explore the very nature of that gap. Have you studied it? Could it be associated with quantum fluctuations? Might there be a geometry for quantum fluctuations?

Do you have any insights that could help us grasp these realities more profoundly? Thank you.

Most sincerely,

Bruce

*PS. Those are models we created and photographed. The face to face vertical alignment from tetrahedron-to-octahedron-to tetrahedron would necessarily create a horizontal alignment much like that pictured. -BEC