On learning about the work of Dan Knopf

TO: Prof. Dr. Dan Knopf, University of Texas, Austin; Associate Dean for Graduate Education; Professor, Department of Mathematics
FM: Bruce E. Camber
RE: Your ArXiv (24) article, especially A numerical stability analysis…(2022); Convergence and stability… of Ricci flow (2007); your books and courses; even your CV and homepages such as Dean’s Office. Also, there are your publications with people like Zhou Gang and Israel M. Sigal: Neckpinch Dynamics for Asymmetric Surfaces evolving by Mean Curvature Flow (2013), and your research interests.

Editor’s note: Deans of schools, especially schools as large as UTexas-Austin, are always swamped, so we are not surprised that we have not heard from this dean.

*Second email: 20 July 2022 at 1:08 PM (updated)

Dear Prof. Dr. and Dean Dan Knopf:

Can we truly look at mathematics through the lens of mathematics? Is pure ever pure, or is “applied pure” possibly just a different way of saying “finite/infinite”? Is there a lens that looks both ways? Where do we place it (…at the Planck scale)? Are our dimensionless mathematical and physical constants on the cusp? …pi?

Just because I know you handle the abstractions of Ricci flows and the realities of getting students inspired to go on and achieve and contribute (possibly great things), I wrote my first note back on July 7. 

May I further correspond with you? Thank you very much.

Warmly,

Bruce

PS. Today is my 75th birthday and I need memory aids to keep me on path. To that end, I have started a special page of just my correspondence and links to your work online believing you have the right chemistry, scholarship, and discipline to evaluate basic foundations. If there is a problem, please advise me. Thank you. -BEC
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Bruce E. Camber
http://81018.com
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First email: Thursday, July 7, 2022 at 10:28 AM

Dear Prof. Dr. Dan Knopf:

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 that picture just a few weeks ago but, to date, it appears that no scholar has written 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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