Suppose I have a perfect cube, which is then distorted. I can define the
distortion by giving the coordinates of the corners, the midpoints of
the edges, and the centers of the faces. How can I draw this new shape,
with smooth faces going through the points? 

I have looked at mesh2, but there you have to define the control points.
I don't know the control points, but just the points the surfaces must
intersect. 

Thanks in advance for any pointers.

-- 
Kaveh

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