[r-t] Wraps of Rounds
mark at snowtiger.net
Wed Nov 10 22:48:02 UTC 2004
> On 2N bells, the number of wraps is 1+f(N)+2[f(1)+...+f(N-1)], where
> f(x) = the number of possible place notations on x bells = fibonacci.
Should have said, since sums of Fibonacci series are Fibonacci numbers less
one, this simplifies to:
Wraps on 2N bells = f(N) + 2f(N+1) - 3.
Use the golden ratio to find a closed formula for f(N) if you want. Note
f(N) = fib(N-1).
Changeringing is not just about group theory, hoorah. :-D
More information about the ringing-theory