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Message from discussion Tetra-Lattices
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William Elliot  
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 More options Aug 29 2007, 5:35 pm
Newsgroups: sci.math
From: William Elliot <ma...@hevanet.remove.com>
Date: Wed, 29 Aug 2007 20:35:58 -0700
Local: Wed, Aug 29 2007 5:35 pm
Subject: Re: Tetra-Lattices

On Wed, 29 Aug 2007, PaulHjelmstad wrote:
> http://www.neverendingbooks.org/

> 1. Please explain what a vector of norm 4 and norm 8 are

Don't know.

> (Here he gives +-(3,-1,-1,-1) as norm 4 and +-(1,3,1,-1_

9 + 1 + 1 + 1 = 12;  1 + 9 + 1 + 1 = 12.

> as norm 8, also +-(-3,-1,-1,-1) as norm 4 and +-(1,-3,1,-1) as norm 8

All four have length = sqr 12.

> 2. Don't see why the inproduct of (3,-1,-1,-1).(1,3,1,-1) = -1 and
> (-3,-1,-1,-1).(1,-3,1,-1) =2

Those dot * products are both 0.
What's an inproduct?
Anything like an end product?

> 3. The squared lengths of the vectors are 1/12, 7/12, 13/12 and 19/12,
> how are these obtained (dot product?) Obviously these are not even.

What vectors?
The length of a vector v is |v| = sqr v*v.

> Please see the link..

No, I'm not going to search through the site to find what vectors you are
considering.

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