Multimodular Origami Polyhedra: Archimedeans, Buckyballs, and Duality
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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LibraryThing ReviewUser Review - LMHTWB - LibraryThing
Book provides the bare minumum of details on how to construct the various polyhedra using modular origami. Some knowledge of origami techniques is necessary to fill in the gaps. Much of the book is ... Read full review
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12 pentagons 20 triangles Archimedean solids Bennett Arnstein buckyballs and hypothetical Catalan solid Color side connector CONSTRUCTION decagon Derivative polygons equally distance between opposite dual polyhedron duality equilateral triangle faces Gurkewitz gyroscoped Archimedeans gyroscoped buckyballs gyroscoped egg Gyroscoped Forms Gyroscoped Snub gyroscoping process hexagon in ring hexagon module hexagons with pentagon hexagons with square hexagons with triangle Hexecontahedron hypothetical buckyballs Johnson solids lock Modular Origami module from 2.125 mountain folds octagon module pentagon and hexagon pentagon module pentagon touching polygons equally spaced regular polygons Rhombicuboctahedron ring Modules Ring of seven Ring of three seven hexagons sizing set Snub Cube Snub Dodecahedron Spike Ball Modules square diagonal square module square touching starting polygon 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 waterbomb base