On Feb 7, 11:07 pm, nickobe...@[EMAIL PROTECTED]
wrote:
>
> I agree that EW and NS are different.
>
Well, sorry to be the bearer of bad news, but you're wrong too.
>
> Could the problem be fixed by
> pretending that a standard hex rhombus was a torus, and playing on
> that?
>
Yes it could, and I already mentioned that in another post.
Here, let me play teacher here for a moment since Bill hasn't been
performing too well in that capacity.
Let's start with your ordinary, hexagonally tessellated rhombus:
. . . .
. . . .
. . . .
.. . . .
Ok? Now, wrap this around a horizontal cylinder so that the top edge
meets the bottom edge. The two edges won't coincide completely, but
there will be a segment where the top edge and bottom edge coincide.
And there will be excess sticking out beyond that segment in both the
left and right directions.
Now, notice something really, really interesting. The right end of
the shape fits perfectly into the left end. Wow! A rhombus forms a
perfect torus!!
Now, moving on. Notice something else that's also fascinating. The
torus formed by the rhombus looks *exactly* like the torus formed by
the square. Amazing? You be the judge.
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