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Subject: Re: Hyatt vs corbit solving chess

Author: Duncan Roberts

Date: 15:42:07 01/25/05

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On January 25, 2005 at 16:51:37, Dann Corbit wrote:

>On January 25, 2005 at 16:06:42, Duncan Roberts wrote:
>
>>On January 24, 2005 at 12:41:43, Dann Corbit wrote:
>>
>>>On January 24, 2005 at 12:35:56, Dann Corbit wrote:
>>>
>>>>On January 24, 2005 at 12:33:49, Dann Corbit wrote:
>>>>
>>>>>On January 24, 2005 at 12:04:56, Dieter Buerssner wrote:
>>>>>
>>>>>>On January 24, 2005 at 11:53:38, Dann Corbit wrote:
>>>>>>
>>>>>>> It might require the square of that (so 50,000*50,000 acres).
>>>>>>
>>>>>>Dann, think again about this :-) Also, assume for a moment, you had given the
>>>>>>area in square miles instead of acres. Now square that area, or in square light
>>>>>>years - you will come to the conclusion, that almost no space at all will be
>>>>>>needed ... . And of course, if you square an area, you don't have an area
>>>>>>anymore, but rather something with dimentsion length^^4.
>>>>>
>>>>>Actually, a cube is a very good idea.  The particular substance I described for
>>>>>storing data is a doped crystal (rather inexpensive too).  It is the same thing
>>>>>that is used for dosimeters for people who walk around in nuclear reactors.
>>>>>When ionizing radiation strikes the crystal, it leaves tracks that can be
>>>>>measured.  Using this principle, they are able to record a terrabyte in one
>>>>>square centimeter.  Interesingly, you can read the whole crystal at once with
>>>>>CCDs.
>>>>>
>>>>>Now, suppose that we record in layers so that really we record data in 3
>>>>>dimentions.  Instead of a terrabyte per square centimeter, we may get 1e36 bytes
>>>>>per cubic centimeter.  Now, suppose that we have some kind of loss with a factor
>>>>>of one million.  That would mean 1e30 bytes per cubic centimeter.
>>>>>
>>>>>A cubic meter of this crystal could store an awful lot of information.
>>>>>Specifically, 1e90 bytes.
>>>>
>>>>Math spasm.  Only 1e45 bytes, since we already had the square.
>>>>But that looks like a pretty nice number for chess.  And a cubic meter of
>>>>crystal is certainly doable.  Even if we need two or three of them.
>>>>
>>>>>So anything is possible, if we put our minds to it.
>>>
>>>Time for yet another retraction.  Since a square centimeter gives 1e12 bytes, a
>>>cubic centimeter is only 1e18 bytes.  So a cubic meter is 1e18*100*100*100 =
>>>1e24 bytes.  Not bad, but a long way to go to store a chess tree.
>>
>>so in cubic kilometers 1e24 * 1000, * 1000 * 1000 = 1e33 bytes.
>>
>>assume 1e48 for all positions  so 1e15 cubic kilometres needed or a cube of 2.5
>>by 2.5 of crystal should do the trick.
>
>You probably made the same mistake that I did.
>
>1e48/1e33=1e15
>cbrt(1e15) = 1e5
>The cube would have to be 100,000 kilometers on a side.
>Bigger than the volume of the earth, I'm afraid.


thanks for the correction. are you still hoping to see this in your life time ?

duncan



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