Origami

### Modular Origami VRML Models

 Some of the modular polypolyhedra origami models created by Robert J.Lang. Clockwise from top left: Makalu, Gasherbrum, K2, Annapurna and Chomolungma
Modular origami involves folding several identical or similar pieces (called units), which are then joined, usually without glue. Although I prefer single-sheet origami, some modular models are extremely attractive and elegant, not the least in the mathematical sense.

Most modular units are fairly simple to fold; however, assembling some models can be quite difficult, since some units cycle or "penetrate" one another. Static diagrams and pictures are often not enough to solve placement ambiguity; in this case, assembly is greatly eased if a finished model is available for reference.

These VRML ("virtual reality") models are intended as an aid to folders who didn't yet finish or don't have at hand a "real" instance of those remarkable origami creations.

 Models by Thomas Hull: Picture Name and description Notes Five Intersecting Tetrahedra (FIT), folded from 30 1:3 rectangles, assembled in dodecahedral symmetry Diagrams from the author; also published in BOS Sheffield'96 Convention book, BOS bulletin 200 and Rick Beech's book Origami The Complete Guide to the Art of Paperfolding (also available under other titles). Complete and partial virtual models. MPEG and AVI movies of rotating model. Models by Robert J. Lang (the author kindly provided 3D coordinate data needed for creating VRML files): Picture Name and description Notes Gasherbrum, folded from 6 squares, each cut in half Diagrams in OrigamiUSA Annual Collection 2000, pages 216-219. Complete model. Annapurna (compound of ten intersecting triangles), folded from 30 1:4 rectangles Diagrams in OrigamiUSA Annual Collection 2000, pages 208-211. Complete and partial virtual models. Chomolungma (compound of five tetrahedrally distorted skew rhombic hexahedra), folded from 60 1:2.5 rectangles Diagrams in OrigamiUSA Annual Collection 2000, pages 212-215. Complete and partial virtual models. Makalu, folded from 30 1:2 rectangles Diagrams in OrigamiUSA Annual Collection 2002, pages 170-172 Complete and partial virtual models. K2 (compound of 20 triangular frames), folded from 60 1:6 rectangles. Every group of 12 units comprises a double-beamed, tetrahedron-like subassembly Diagrams in OrigamiUSA Annual Collection 2002, pages 165-169 Virtual models with 1, 2 and all tetrahedra Virtual models with 3 and all tetrahedra

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 www.progonos.com/furuti    June 16, 2018