Wednesday, May 25, 2016

[yvkrgyls] Stitching doubly ruled surfaces

Doubly rules surfaces are neat.  Consider approximating arbitrary shapes by stitching together segments of planes, hyperbolic paraboloids, and hyperboloids of one sheet.

What happens at the boundaries?  Of course, the straight rulings offer stitching boundaries.  Can there be a curved boundary between such surfaces that avoids a crease?

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