Parameterized Offset Surfaces

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Given a surface , construct a surface consisting of the points a distance λ along the normals to the original surface. Even for smooth surfaces, these so‐called offset surfaces frequently develop cusps. In this Demonstration, the shape of such offset surfaces can be investigated for a special initial surface.

Contributed by: Michael Trott (March 2011)
Open content licensed under CC BY-NC-SA



offset surface distance — distance of the offset surface from the original surface surface parameter — parameter of the parameterized surface

The surface has the parameterization:

where is an additional parameter.

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