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and geometrical patterns in origami’s folds. Unfold an origami piece
             to reveal its geometry in the lines that make its folds. Within this
             blueprint for the finished piece are triangles, quadrangles, vertices,
             acute and obtuse angles, and more. Those shapes and angles follow
             rules to successfully create an origami piece. Studying what those
             rules are and how they work has led to new discoveries of what folding
             can create. Modern origamists are finding that almost any 3D shape
             imaginable can be made from paper with origami. It just takes some
             new tools and ways of thinking about folding.
                 Miura made his folding discovery in the 1970s and proved origami
             could be a practical solution to engineering problems, such as getting
             a solar array into space and then extending it to capture sunlight, in
             addition to being a beautiful art form. But Miura was not alone in
             studying how origami could be used in science and engineering—many
             people around the world were studying the complexities of origami
             and its folds. In 1989 scientists, mathematicians, and origamists
             gathered in Ferrara, Italy, for an international scientific conference to
             share the ways origami, mathematics, and science intersected. This
             sharing of knowledge helped to rapidly advance origami science and
             mathematics, and the conferences became known as the Origami in
             Science, Mathematics, and Education (OSME) conferences. Since
             1989 there have been seven OSME conferences around the world, and
             many of their proceedings are printed in book form. Attendees share
             mathematical models of origami and different applications and research
             into origami science—from computer tools that create origami designs
             to how much energy folded materials could absorb from a car crash.
                 One of those early origami science pioneers is former NASA
             engineer, physicist, and origamist Robert J. Lang. He makes some
             of the most complex origami sculptures in the world and is a leader
             in the field of computational origami, a branch of computer science
             that studies algorithms to solve paper‑folding problems. In the early
             1990s, he created a computer program called TreeMaker for designing






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