Maur??cio wrote:
Actually, I did mean to start with:
### ### ###0### ####### ####### ### ###
and then go to:
#0# #0# ####### ####### ####### ### ###
My brother's idea is that he can solve any board after you choose the initial peg to be removed and the first move. He can do it for any combination, except for this one.
Heh. He's in for a surprise, there are actually solutions for this. It was surprisingly hard to find one though. Thanks for the puzzle. (I won't spoil it here. Ask me off list if you're interested.)
But your argument is very interesting, indeed! I'll try to find that book, we'll like to read it.
It's a series of three books actually. Sadly it's been a long time since I've read them so I forgot which volume covers which topics. Bertram