Author: Mike Byrne
Date: 19:40:42 11/28/02
Go up one level in this thread
On November 28, 2002 at 22:20:02, Tanya Deborah wrote: >On November 28, 2002 at 22:05:39, Mike Byrne wrote: > >>snip >>>> >>>>All your answers are welcome... >>>> >>>>My best Regards! >>>> >>>>Tanya. >>> >>>6.5104179521361946395624758693608e+308 >>> >>>I know this is the exact number of chess positions, because I counted them one >>>day using my Palm and Chess genius. >>> >>>But how do you count all the atoms in the universe? I might need a newer Palm >>>for that one ...hmmmm ....yea, I could that on of those new palms. >>> >>>Hold on - let me go talk to my wife and explain to her why I need a new palm. >>> >>>THANKS - You gave me the perfect reason for a new Palm - to count all the atoms >>>in the universe. >>> >>>eh ...Does anybody want to help? >> >> >>got the answer for atoms - it's right here >> >>" >>It seems, then, that the number of atoms in the Universe is at least about 4e78, >>but perhaps as many as 6e79. I would suggest 1e79 as a reasonable estimate. That >>is, 10 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 >>000 000 000 000 000 000 000 000 atoms. >>" >> > > >Thanks Mike, very nice page. But how about the total number of chess >positions??? > > , >>http://www.sunspot.noao.edu/sunspot/pr/answerbook/universe.html >> >>looks like "positions in chess" beats "atoms in the universe" by a fair amount >>.... >> >>...now about the 32 man EGTB that I was thinking about - how many drives would I >>need?? >> >> >>;>) I gave you the number 6.5104179521361946395624758693608e+308 that is 6.5 x10 to the 308 or just add 308 zeroes ... 6,500,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 Now that number might be a little high - that was assuming on average of 35 moves for 100 moves or 200 ply. 35^200 is 6.5e308. Most papers underestimate the number of games to about 1e110 or so. But even a 35 move game for 50 moves or 100 ply will give you 2.5e154 (35^100) amd that is still larger than the number of atoms in the universe. We know it's finite number and that it's more than the number of atoms in the universe - I happened to write an English paper on this over 20 years ago. Now those many numbers - others come up with their own numbers - here's one I just found on google by searching "legal chess games" his number is "just" under my number I quickly calculated above by a factor of a 140 trillon or so. (if you were off by factor of 10 -- you would be 10x off so we're talking 140,000,000,000,000X - but what's a few hundred trillion between friends? ;>) http://cypherpunks.venona.com/date/1994/04/msg00023.html Michael
This page took 0.01 seconds to execute
Last modified: Thu, 15 Apr 21 08:11:13 -0700
Current Computer Chess Club Forums at Talkchess. This site by Sean Mintz.