N-Grams
You can find some of what I wrote about a decade ago on N-Grams at www.solbakkn.com/math/n-grams.htm . Click on the links for tables to see what N-Grams look like. In my last post I described them as “a collection of diagrams formed using the same mathematical / diagrammatic rules / conventions as the Enneagram, but applied to varying number bases and divisors.” Here are the N-Grams for base ten. Note that the circles for 2, 4, 5, 8 and ten – all with only the prime factors (2 and 5) that make up the base, ten. The circle for 6 is partially gray, because the prime factor 3 generates a repeating pattern, whereas the prime factor 2 does not.

Base Ten N-Grams
I’ve corresponded with Shane Roberts who has taken the same idea in a similar direction, calling his diagrams Rotagrams. Shane has a web page at www.myspace.com/systemlover and said I could share his email, systemlover at hotmail dot com. His diagrams include non-repeating patterns, e.g., .125 for 1/8 (base ten), mine do not.
