Le 01/10/2010 16:02, Graham a écrit :
> I've read and searched, can anyone help me?
> 
> Given 4 unique and non-coplanar points (A, B, C, & D) in space (3D) what is the
> simplest way of defining the surface that would result from a film being
> stretched over a frame composed of four sides (AB, BC, CD, & DA), or that frame
> being immersed and removed from a suitable liquid for bubble making?
> 
> I think a hyperbolic paraboloid would be about the right shape, but that hasn't
> yielded a reasonable result thus far.
> 
> 
Looks for minimal surface tension.

3 points defining a plane, it's only a matter of positioning the fourth
one in regard to the open triangle.

case #1: ABCD is a tetraedron. The film is likely to be two-fold, each
fold as two faces.

case #2: ABCD is flat, the film is flat too.

case #3: you can hope for a HyperbolicParaboloid

Hint: transition from #2 to #3 seems easy. But How do you evolve from #1
to #3 ?



-- 
A good Manager will take you
through the forest, no mater what.
A Leader will take time to climb on a
Tree and say 'This is the wrong forest'.

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