World
Game
Of
Sprouts
Association

Curious Consequences

January 15, 2007

Some curious consequences from the new misere theories.

From normal games we know:

n=6k II
OPn II

n=6k+1 II
0Pn I

n=6k+2 II
0Pn I

n=6k+3 I
0Pn I

n=6k+4 I
0Pn II

n=6k+5 I
0Pn II

In misere games it will look so:

n=6k I
OPn II

n=6k+1 II
0Pn II

n=6k+2 II (k>0) This restriction for 0Pn
0Pn I

n=6k+3 II
0Pn I

n=6k+4 I (n>4)
0Pn I

n=6k+5 I (k>0) This restriction for 0Pn
0Pn II

A note (also derived from the new misere theories):
PP6k+5=G1
PP6k+2=G0 k>0