Morphed Tetrahedral Bezier Surfaces

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You can morph this Bezier surface into four types of tetrahedral surfaces:

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1) a ruled elliptical tetrahedron

2) a classical Berlingot simple tetrahedron

3) a negatively curved standing wave tetrahedron

4) a projective tetrahedron

The intermediate morphed surfaces are also interesting.

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Contributed by: Roger Bagula (March 2016)
Open content licensed under CC BY-NC-SA


Snapshots


Details

The surface is represented by the parametric plot of



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