Generalized D-Forms Have No Spurious Creases
Computational Geometry
2009-05-07 v2
Abstract
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.
Cite
@article{arxiv.0711.2605,
title = {Generalized D-Forms Have No Spurious Creases},
author = {Gregory N. Price and Erik D. Demaine},
journal= {arXiv preprint arXiv:0711.2605},
year = {2009}
}
Comments
revised