Can you explain how you figured out that these were the right generalization of the golden ratio? Were you doing a literature search? Just experimenting?
BTW, in the past couple months I have directed several people who were interested in spiral phyllotaxis and the like at your page. I think your sequences could make for some interesting art projects.
Personally I plan to try them out for dithering, picking well-spaced colors for diagrams, picking points in a region when trying to optimize a map projection, etc.
Thanks for the kind words and promotion! ;)
These findings were a combination of a lot of literature searching, perseverance, decades of mathematical intuition and computer modelling of various hypotheses.
I had a problem to solve so I was determined to find a solution. And then combine this with my obsession with simplicity, it meant I didn’t just want to tweak a million parameters to get a result.
BTW, in the past couple months I have directed several people who were interested in spiral phyllotaxis and the like at your page. I think your sequences could make for some interesting art projects.
Personally I plan to try them out for dithering, picking well-spaced colors for diagrams, picking points in a region when trying to optimize a map projection, etc.