Upon following the work of June Huh

June Huh, Princeton University, Princeton, NJ

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

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Most recent email: 23 November 2022 at 3:30 PM (slight update)

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 22-sided tetrahedral-octahedral object with a gap — https://81018.com/15-2/ — so just yesterday Hattie Bryant (my lovely wife) named it an eikosihedron

I like the name, but perhaps it could be better.

We would use the Greek to distinguish it from the icosahedron with its 20 tetrahedrons. The eikosihedron would have the five octahedra with five tetrahedra on top and five on the bottom.

As a professional, a scholars’ scholar, would you approve?

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?

On my desk just seconds ago

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