TO: Prof. Dr. Deidra Coleman, Wofford College, Spartanburg, SC
FM: Bruce E. Camber
RE: Homepage(s): The periodicity of nim-sequences in two-element subtraction games, Integers, Deidra Coleman, Jack Good, Michael Smith, Jennifer Travis, Mark Daniel Ward, 20 (2020), p. G5
Second email: 8 October 2024
Dear Prof. Dr. Diedra Coleman:
Back a couple of years ago, I sent you a note about a five octahedral gap. I sent a similar note to several people hoping to find an expert-scholar who could help shed light on the background of this object. I keep a record of my notes; and, that was posted here: https://81018.com/coleman/ Just yesterday I noticed somebody was on that page, so I did a little work on it.
Do you find platonic geometries to be of interest?
The five octahedral gap seems to be unique and it has no prior history. Do you think it is worthy of further analysis and reports?
Thank you, Deidra.
Best to you with warm regards,
Bruce
https://81018.com/bec/ https://81018.com/2016/12/31/1947-2016/#1969
Bruce E. Camber, Wofford ‘69
A sampling of journals:
1. http://lagrange.math.siu.edu/Kocik/journals/geometryjournals.html
2. Jerrard, Richard P.; Wetzel, John E.; Yuan, Liping (April 2017). “Platonic Passages”. Mathematics Magazine. 90 (2). Washington, DC: Mathematical Association of America: 87–98. doi:10.4169/math.mag.90.2.87. S2CID 218542147.
2b. http://www.mathematicsmagazine.com/
3. https://www.semanticscholar.org/paper/The-Platonic-Solids-An-Exploration-of-the-Five-and-DeHovitz/544223aa020a6abe256450ef3e91c21941875a08
4. Atiyah, Michael; Sutcliffe, Paul (2003). “Polyhedra in Physics, Chemistry and Geometry”. Milan J. Math. 71: 33–58. arXiv:math-ph/0303071 Bibcode:2003math.ph…3071A
First email: July 7, 2022, 9:37 AM
Dear Prof. Dr. Diedra Coleman:
Just two years at Wofford! Mathematics professor! Congratulations! Bruce Camber here from the Class of ’69, the year we landed on the moon (that happened on my 22nd birthday, July 20).
Today, I write to say “Hello” and to ask, “Have you ever seen a five-octahedral gap?” It’s a corollary to the five-tetrahedral gap that Aristotle made famous in some circles.
Here is my picture of that gap (just taken created a few weeks ago): https://81018.com/15-2/ My early analysis: https://81018.com/geometries/
Have you seen it anywhere? Perhaps my search needs to be broadened. By the way, you came up on top when I did a quick search (Google) on geometry + “Wofford College”. I stopped and savored the moment.
My work is quite variegated, but for the past ten years, I’ve returned to my studies of the foundations of physics and mathematics. I was helping my nephew, the head of a high school math department. He needed someone to quickly fill-in for him and one thing led to another. We soon had a penultimate STEM tool, just 202 base-2 notations from Planck Time to the current time and a most simple, totally mathematical model of the universe.
The kids loved it. Even an advanced sixth grade class understood the basics.
1. Are you interested in learning more? Might you give us your first impressions?
2. Might you have some ideas to prepare materials to prepare teachers to teach it?
Thanks.
Warmly,
Bruce
PS. Might there be others in the department who might be interested?
Thanks again. -BEC
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Bruce E. Camber
https://81018.com