This introduction to the theory of rigid structures explains how to analyze the performance of
built and natural structures under loads, paying special attention to the role of geometry. The …

The subject of Discrete Geometry and Convex Polytopes has received much attention in
recent decades, with an explosion of the work in the field. This book is an introduction …

A surface of translation is a sum (u, v)↦ α (u)+ β (v) of two space curves: a path α and a
profile β. A fundamental problem of differential geometry and shell theory is to determine the …

The thematic program on “Discrete Geometry and Applications” took place at the Fields
Institute for Research in Mathematical Sciences in Toronto between July 1 and December …

DERIVED SUBDIVISIONS MAKE EVERY PL SPHERE POLYTOPAL Page 1 ISRAEL JOURNAL
OF MATHEMATICS 208 (2015), 443–450 DOI: 10.1007/s11856-015-1206-4 DERIVED …

The double tetrahedron is the triangulation of the three-sphere gotten by gluing together two
congruent tetrahedra along their boundaries. As a piecewise flat manifold, its geometry is …

The paper presents a new proof of the infinitesimal rigidity of convex polyhedra. The proof is
based on studying derivatives of the discrete Hilbert–Einstein functional on the space of …

We address two longstanding open problems, one originating in PL topology, another in
birational geometry. First, we prove the weighted version of Oda's\emph {strong factorization …

This is a quick review of properties of stress matrices with respect to the global rigidity of
tensegrity frameworks, and recent results about generic global rigidity. Then there are some …

Among the techniques of forming the geometry of a reconfigurable and programmable
matter, origami (the art of paper folding) and kirigami (paper folding with cutting) are …