Multimodular Origami Polyhedra: Archimedeans, Buckyballs and DualityCourier Corporation, 2012年3月8日 - 80 頁 Continuing the groundbreaking work of their previous two books, the mathematician and mechanical engineer authors of this volume further strengthen the link between origami and mathematics — and expand the relationship to crystallography. Through a series of photographs, diagrams, and charts, they illustrate the correlation between the origami waterbomb base and the mathematical duality principle of Archimedean solids. Then, they show how to apply the correlation to models of the buckyball (a carbon-60 molecule resembling a soccer ball, named for R. Buckminster Fuller, designer of the geodesic dome). By the process of gyroscope transformation, origamists can transform buckyballs into more new and interesting shapes. Step-by-step instructions and clear diagrams show origami enthusiasts how to create a world of multifaceted wonders. |
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12 pentagons 20 triangles altitude Archimedean solids Bennett Arnstein buckyballs and hypothetical Catalan solid constructed convex creases decagon different modules Disdyakis DISPLAY STAND distance between opposite Dodecahedron Dover Publications dual Catalans dual polyhedron duality equilateral triangle group of models gyroscoped Archimedeans gyroscoped egg GYROSCOPED FORMS Gyroscoped Ring Gyroscoped Truncated gyroscoping process hexagon in ring hexagon module hexagons with pentagon hexagons with square hexagons with triangle Hypothetical Bucky Johnson solids midpoints module from 2.125 mountain folds Multimodular Origami Polyhedra octagon module pentagon and hexagon pentagon module regular polygons Rhombicuboctahedron ring Modules Ring of seven Ring of three seven hexagons sizing set Snub Cube Spike Ball Module square diagonal square touching starting polygon strip TAB AND POCKET three hexagons touching one edge triangle gyroscope modules triangle module triangles or 12 Truncated Cube Truncated Cuboctahedron truncated icosahedron Truncated Icosidodecahedron truncated octahedron Truncated Tetrahedron type of module vertex vertices