16 Mar
2016
16 Mar
'16
8:39 p.m.
Christoph’s observation also holds for several values of n2 larger than 16. 1000 games were run with random tie breaking, on box sizes 2 = n1 <= n2 = n3 <= 100. For each of the 99 box sizes, all games had a length given by: if n2 = 0 mod 4, game length is 2 * n2 if n2 = 1 mod 4, game length is 2 * n2 - 1 if n2 = 2 mod 4, game length is 2 * n2 - 2 if n2 = 3 mod 4, game length is 2 * n2 - 1 — Mike
On Mar 16, 2016, at 3:40 AM, Pacher Christoph <Christoph.Pacher@ait.ac.at> wrote:
My observations from the results in (1)
for n1=2, n2=n3 are the numbers not divisible by four and game length = 2*n2 - 1 - is_even(n2)
you could try whether this patterns continues for n2=n3>16...
Christoph