Re: Lattice Wormholes

Paul Hahn wrote,

>The actual, Euclidean distances in our >proportional-distance
>triangulated lattice are:

>Between 5/4 and 9/8: sqrt((lg5)^2 + 2 * (lg3)^2) = 3.227315...
>Between 7/4 and 9/8: sqrt((lg7)^2 + 2 * (lg3)^2) = 3.592416...

Wait a minute, those aren't right. The axes are not perpendicular. We might not need this spacewarp/wormhole after all

-Paul E. from home

On 29 Apr 1999 perlich@acadian-asset.com wrote:
> Paul Hahn wrote,
>> The actual, Euclidean distances in our proportional-distance
>> triangulated lattice are:
>
>> Between 5/4 and 9/8: sqrt((lg5)^2 + 2 * (lg3)^2) = 3.227315...
>> Between 7/4 and 9/8: sqrt((lg7)^2 + 2 * (lg3)^2) = 3.592416...
>
> Wait a minute, those aren't right.

Yes, they are. Would you like me to derive them for you?

> The axes are not perpendicular.

And I didn't assume that they were. Look again. See the "2 * "?

--pH <manynote@lib-rary.wustl.edu> http://library.wustl.edu/~manynote
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/\ "Hey--do you think I need to lose some weight?"
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>> Paul Hahn wrote,
>>> The actual, Euclidean distances in our proportional-distance
>>> triangulated lattice are:
>>
>>> Between 5/4 and 9/8: sqrt((lg5)^2 + 2 * (lg3)^2) = 3.227315...
>>> Between 7/4 and 9/8: sqrt((lg7)^2 + 2 * (lg3)^2) = 3.592416...
>>
>> Wait a minute, those aren't right.

>Yes, they are. Would you like me to derive them for you?

>> The axes are not perpendicular.

>And I didn't assume that they were. Look again. See the "2 * "?

Whoops, I didn't see the "2 *". Sorry!