This paper describes the results of our experiments with gluing together partial hyperbolic paraboloids, or hypars. We make a paper model of each hypar by folding a polygonal piece of paper along concentric polygons in an alternating fashion. Gluing several hypars together along edges, we obtain a beautiful collection of closed, curved surfaces which we call hyparhedra. Our main examples are gi...

Vascular endothelial growth factor (VEGF) plays an essential role in angiogenesis. This includes developmental angiogenesis as the loss of a single allele is embryonic lethal due to lack of development of endothelial cells. During early development, endothelial cells depend on VEGF for survival and if it is withdrawn, massive apoptosis results. This is not true in adult organisms; withdrawal of...

Powerful computers together with sophisticated programs for geometric modeling and graphical rendering allow to create interesting and artistic displays in novel ways. Computers can playa role in the definition of new shapes, e.g., through the use of abstract geometrical generator functions, as well as in the realization of these shapes, e.g., by drawing exact blueprints or by milling parts. On...

Mathematical string sculptures constitute an extremely beautiful realm of mathematical crafts. This snapshot begins with a description of a marvelous (and no longer manufactured) toy called Space Spider, which provided a framework with which children could experiment with string sculptures. Using a computer-controlled laser cutter to create frames for weaving string, not only can we recreate th...

Symmetry, Causality, Mind M Ley ton Sliceform Sculptures-a Bridge between Art and Mathematics J. Sharp Interpersonal Hypothesis and the GUHA Method J. Doubravowi 273