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Subject: Re: Hyatt vs corbit solving chess

Author: Duncan Roberts

Date: 13:06:42 01/25/05

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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.

duncan




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