Robert J. Lang

Koryo Miura

Toshikazu Kawasaki

Tomohiro Tachi

Ryuhei Uehara

Patsy Wang-Iverson

is a unique collection of papers illustrating the connections between origami and a wide range of fields. The papers compiled in this two-part set were presented at the 6th International Meeting on Origami Science, Mathematics and Education (10-13 August 2014, Tokyo, Japan). They display the creative melding of origami (or, more broadly, folding) with fields ranging from cell biology to space exploration, from education to kinematics, from abstract mathematical laws to the artistic and aesthetics of sculptural design. This two-part book contains papers accessible to a wide audience, including those interested in art, design, history, and education and researchers interested in the connections between origami and science, technology, engineering, and mathematics. Part 1 contains papers on various aspects of mathematics of origami: coloring, constructibility, rigid foldability, and design algorithms.

Origami${}^6$: I. Mathematics

is a unique collection of papers illustrating the connections between origami and a wide range of fields. The papers compiled in this two-part set were presented at the 6th International Meeting on Origami Science, Mathematics and Education (10-13 August 2014, Tokyo, Japan). They display the creative melding of origami (or, more broadly, folding) with fields ranging from cell biology to space exploration, from education to kinematics, from abstract mathematical laws to the artistic and aesthetics of sculptural design. This two-part book contains papers accessible to a wide audience, including those interested in art, design, history, and education and researchers interested in the connections between origami and science, technology, engineering, and mathematics. Part 2 focuses on the connections of origami to education and more applied areas of science: engineering, physics, architecture, industrial design, and other artistic fields that go well beyond the usual folded paper.

Origami${}^6$: II. Technology, Art, Education

Tohru Ogawa

Takashi Masunari

Denes Nagy

In Japanese culture the concept of katachi has special significance, connoting relationships and connectedness. Although katachi cannot be translated precisely, it corresponds most closely to "form," "shape," "pattern," or "Gestalt". The contemporary study of katachi is interdisciplinary and encompasses virtually all scientific and aesthetic endeavors. Katachi research seeks to bridge the gap between cultures - whether the "two cultures" of C.P. Snow or the contrasting cultures of East and West. To help achieve this aim and to foster international cooperation, the interdisciplinary symposium titled "Katachi "U" Symmetry" was convened in Tsukuba, Japan, November 21 - 25, 1994. With many participants from differing backgrounds and cultural perspectives, the symposium was the culmination of 15 years of work in the field. Like-minded researchers and philosophers came together from two movements in interdisciplinary studies of katachi and symmetry that arose in the 1980s, one in Japan, the other in Hungary. The proceedings of the symposium will stimulate and provoke the interest of scientists and mathematicians, engineers and architects, philosophers and semioticians - indeed, all those with a lively sense of curiosity and a wide-ranging intellect.

Katachi ? Symmetry

Koryo Miura

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