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*From*: Bernard Cleyet <anngeorg@PACBELL.NET>*Date*: Sat, 21 Feb 2004 13:55:57 -0800

"Do they cross? I guess that depends on your

point of view, ..."

I think the physicist's answer has been given. How would a

mathematician answer?

Another thought: Extend HH's example with, below the contact the earth

has been hollowed. e.g. two adjacent mesas in contact only part way

up. I suspect a mathematician would have something to say about this

contact.

bc, who has some fuzzy thoughts about differentiability, well behaved, etc.

Hugh Haskell wrote:

At 15:36 -0800 2/20/04, Bernard Cleyet wrote:

Can contour lines on a contour map cross?Certainly not ones representing different elevations, but consider

this scenario: Two adjacent hills have a saddle ridge between them.

Then the contour lines surrounding each hill that at the level that

matches the elevation of the lowest point on the ridge line will

touch at that point. Do they cross? I guess that depends on your

point of view, but they certainly come together without violating any

logical requirements.

Hugh

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Hugh Haskell

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<mailto:hhaskell@mindspring.com>

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