CYCLE-NUMBER BLOG, CNB1
Hello everybody! Welcome to my new Blog-site.
I don’t know how this is going to work, yet. My aim is to keep in touch with a few people who are interested in learning about, and hopefully joining in, my ongoing studies of my Cycle-Number Triangle, which I call T (I wonder why). In a year of blogging, we might fill a book!
Last month I gave a paper on the subject, in Hungary, at a Fibonacci Association Conference, and a few people expressed interest in seeing more about it. One person said he loved my triangle, and I bless him for that kind remark.
In a month or so I will post a copy of the paper on this website. But for now, in the true spirit of ‘blogging’, I will just type in a small example of T, namely rows R0 thro’ R7, and ask you to think about it. The triangle is to be infinite , a la Pascal’s triangle, and maybe you can work out how it continues, and whether it portrays anything about the natural numbers. Start looking for patterns … and tell me in the comments space what you have found.
The Cycle-number Triangle T(7)
I have a grand aim for my studies of the past three years, which I will reveal in due course. For now, I think that is enough for blog CNB1. I look forward to your comments and ideas.
Before I leave you, I will include a couple of quotations that impress me with their elegant words and their relevance to the mathematical tasks I have pursued over the past three years. They will set the scene for my Blogging Journey, which I am starting at the ripe old age of 83 years..
(Q1) We cannot arbitrarily invent projects for ourselves: they have to be written in our past as requirements. — Simone de Beauvoir
(Q2) He who has not felt the difficulties of his art does nothing that counts. — Jean-Baptiste-Simone Chardin
The second of these is particularly relevant — I have been trying to solve a problem which has been known and unresolved for over two millennia. I have now deeply felt its difficulties. You will probably recognize it, when I describe it to you shortly.