TO: Fernando Mário de Oliveira Filho, Faculty of Mathematics and Computer Science
Delft University of Technology, Mekelweg 4, 2628 CD Delft, The Netherlands
FM: Bruce E. Camber
RE: The following pages and articles:
https://diamhomes.ewi.tudelft.nl/~fmario/
https://diamhomes.ewi.tudelft.nl/~fmario/publications/
https://arxiv.org/find/math/1/au:+Filho_F/0/1/0/all/0/1 (22)
http://wiki.siam.org/siag-op/images/siag-op/c/c4/ViewsAndNews-23-2.pdf (pages 5-14)
Third email: 15 April 2025
Dear Prof. Dr. Fernando Mário de Oliveira Filho:
I missed the response from you or Frank about your collaborations, particularly within the 2015 article in SIAM, Mathematical Optimization for Packing Problems (pp 5-14). I was re-reading it today and I want to compliment you both on its thoroughness and readability. I do have questions:
- I recognized the work of Dirk Struik within your wonderful overview of that history and wondered if you used the original Dutch by Struik or if you ran it through a translation program. I suspect my next step is to put it through a “Dutch to English” program. I have a translation by a Smith professor, but I think it would be good to see what the latest programs would do.
- Also, I wondered if you discovered any writings about the gap between the 15th century and Struik’s work.
- Further, were you aware of the gap created by five octahedrons?
As a result of teaching a little about those nesting Platonic geometries, we backed into a base-2 map of the universe in 202 notations from the Planck Time to this day. Tedious? Yes, but informative. We were told that it is an idiosyncratic time line but nobody could tell us how or why the numbers and geometries were not informative. “There is no place for it in big bang cosmology” was not satisfactory, so we began to study gap geometries. Like base-2 from the Planck Scale, it seemed to be telling us more than most scholars wanted to hear.
- Are you aware of any in-depth studies of gap geometries?
By the way, we’ve now begun a study of the irrational numbers because pi’s continuity-symmetry-harmony had given us so much guidance, I began asking, “How about the other primary irrational numbers?” The results are astonishing: https://81018.com/spheres-symphony/
Perhaps you have graduate students or post-docs who could help set us straight! Thank you.
Sincerely,
Bruce
Our page about your writings and our writings to you (just so we modulate this correspondence): https://81018.com/filho/
Second email: 7 March 2024
Dear Prof. Dr. Fernando Mário de Oliveira Filho:
Do you recall an email back in November 2023 related to the 1926 work of Dirk Struik (MIT)?
I am hopeful you can take a moment, to answer a question about applied math at the Planck scale. It would necessarily involve some speculation.
Have you ever entertained a guess or guesses about the manifestation of the gaps, starting with the tetrahedral and octahedral gaps? For example, have you or any of your colleagues or students suggested that these gaps may be related to quantum fluctuations?
Thank you.
Warmly,
Bruce
First email: 5 November 2023
RE: Dirk Struik, 1928, De Impletione Loci, 1928. Quick reference: https://81018.com/2022/09/09/struik/
Dear Prof. Dr. Fernando Mário de Oliveira Filho:
Thank you for bringing to my attention the translation by Marjorie Senechal. I was embolden to write to her directly and she personally sent the rough copy of her translation and gave me permission to post it.
Has anybody else actually posted it online anywhere? That copy I have is a rather rough cut-and-paste: https://81018.com/struik-senechal/
My reference to your work is here: https://81018.com/2022/09/09/struik/ Thank you for that important article. Thank you for the reference to your publications.
Best wishes,
Bruce