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From: Archimedes Plutonium on 4 Feb 2010 03:57
Now I am looking at a pseudosphere on Wikipedia page and then looking
at a saddle shape.

I have a problem of fetching what the analog of a specific
pseudosphere to a sphere is. Whether the radius of the sphere is the
analog to the pseudosphere and what to use for
the saddle shape.

Anyway, what I am trying to resolve is how much surface area is
involved when the two
geometries make contact? Is it only a line-segment that comes in
contact. Or is it a
sizable surface area of the sphere and pseudosphere that comes into
contact?

It is surprizing to me that noone else seems to have ever asked that
question before,
for I find nothing in a search. Maybe everyone who stumbles on this
idea of asking a question
come to the conclusion that the answer is a line-segment and pursue it
no further.

But I have a suspicion that the answer is not an easy answer of a line-
segment but that
there is more involved than what meets the eye. I want to know what is
the maximum
surface contact when Elliptic meets Hyperbolic geometry.

Archimedes Plutonium
www.iw.net/~a_plutonium
whole entire Universe is just one big atom
where dots of the electron-dot-cloud are galaxies
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