Generalized D-Forms Have No Spurious Creases

Details Generalized D-Forms Have No Spurious Creases Generalized D-Forms Have No Spurious Creases

2007-11-16

arxiv.org/abs/0711.2605v2

Computer Science

Computational Geometry

revised

Scientific paper

A convex surface that is flat everywhere but on finitely many smooth curves (or "seams") and points is a seam form. We show that the only creases through the flat components of a seam form are either between vertices or tangent to the seams. As corollaries we resolve open problems about certain special seam forms: the flat components of a D-form have no creases at all, and the flat component of a pita-form has at most one crease, between the seam's endpoints.

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