Articles - mathematics

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  • These images show what the (first) 54 polypolyhedra would look like if created using the Ooh and Ow unit joints.
  • These images show what the (first) 54 polypolyhedra would look like if created using round dowels of the maximum possible diameter.
  • In 1999, I became interested in a family of origami modulars composed of interwoven polygonal frames and/or polyhedral skeletons. This page describes the analysis.
  • This page contains various and sundry links to web pages that combine origami with mathematical or scientific applications.
  • Since 1989, there have been several highly successful international scientific conferences exploring the interactions between origami, mathematics, science, and (since 2001) education.
  • The Fourth International Conference on Origami in Science, Mathematics, and Education, was held at the California Institute of Technology in 2006.
  • The seven Huzita-Justin operations allow the construction of solutions to arbitrary equations up to degree 4: quadratics, cubics, and quartics—but no higher. Allowing multiple simultaneous alignments permits the solution of higher-order equations; one example is this angle quintisection (division into 5ths).
  • The seven operations of one-fold-at-a-time geometric constructions, which allow geometric constructions that include the solution of cubic equations.
  • A listing of all of the articles I've written or posted to OrigamiUSA's online magazine, The Fold.
  • A C++ program that generates very efficient approximate and exact folding sequences for specified points and lines in a square.