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Criteria are derived for the adoption, without wrinkling or having to be cut, of the shapes of regular and truncated n-sided pyramids, cones, and round boxes by bidirectional fabrics. The flat surfaces of pyramids result in distinct deformation zones that can be compared with experiment and allow simple geometrical visualization and explanations. Only trellis shear, the major mode of fabric deformation,...
Criteria are derived for the adoption by bidirectional fabrics, without wrinkling or having to be cut, of the shapes of regular and truncated four-sided pyramids. Pyramids have topological kinship with general convex shapes. Also, their covering by fabrics is fairly simple, and the flat surfaces result in distinct deformation zones that can be compared with experiment. Only the major mode of fabric...
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