# Super Hard Math Problem!!! Can anyone solve?

• 7 months ago · Quote · #101

Mate in infinity:

• 7 months ago · Quote · #102

there is a zillion legal positions.

(I don't want to do the math. it would take a billion years for me.)

• 7 months ago · Quote · #103

Actually, I just realized that there is no mate in infinity due to draw by repetition.

• 7 months ago · Quote · #104
ClavierCavalier wrote:
pdela wrote:
ClavierCavalier wrote:
mewtoo wrote:

I read that from a article

Still doesn't sound at all accurate.  The biggest problem with this whole idea is that we really don't know how many atoms there are in the universe.

I read something about the possible chess positions, and some of them are illegal positions.  Did anyone else ever see this?

Assuming current theories are well there are about 10^80, not that anybody can count them.

Well, that number is much larger than the number of possible chess positions.  I already know that people have tried to calculate this before, but it all depends on our theories which rely on the observable universe as we know it now.  The universe may be larger than what we can observe.

Yeah, because the ("famous") comparation is not between the number of possible positions and Eddintong number. It is the number of different games of chess that can be played or game tree complexity... wikipedia states it:

Allis also estimated the game-tree complexity to be at least 10^123, "based on an average branching factor of 35 and an average game length of 80". As a comparison, the number of atoms in the observable universe, to which it is often compared, is estimated to be between 4×10^79 and 10^81.