From Pisano periods, the well known Enneagram generated from Fibonacci mod 9.
I try to find out for enneagrams base on mod m.
For mod 6 & mod 12 the pi(m)=24 same as mod 9.
For m=6, no interesting patterns apprear.
For m=12 , 1-8-7-5-4-11 create symetrical pattern. It should have hidden beautiful pattern.