In this paper we study pleated structures generated by folding paper along curved creases. We discuss their properties and the special case of principal pleated structures.
This study contributes to the discrete differential geometry of triangle meshes, in combination with discrete line congruences associated with such meshes.
We use concepts from discrete differential geometry (star-shaped Gauss images) to express fairness, and we also demonstrate how fairness can be incorporated into interactive geometric design of triangulated freeform skins.
This poster addresses two closely related geometric rationalizations of freeform surfaces with repetitive elements, freeform honeycomb structures defined as torsion-free structures where the walls of cells meet at 120 degrees, and Lobel frames formed by equilateral triangles.
This paper is an overview of architectural structures which are either composed of polyhedral cells or closely related to them. We introduce the concept of a support structure of such a polyhedral cell packing.