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 altitude Archimedean solids Basic Bennett Arnstein buckyballs and hypothetical Catalans cluster connect connector consider CONSTRUCTION convenient convex correspond crease creating Cuboctahedron decagon Derivative designed divided Dodecahedron dual duality equilateral triangle Expanded faces figure give glue Gyroscope Modules gyroscoped Archimedeans gyroscoped egg Gyroscoped Truncated hexagon module Hypothetical Bucky hypothetical buckyballs Icosidodecahedron indicated length LINE lock meet models mountain folds named octagon octagon module OPEN Origami pair pattern pentagon and hexagon pentagon module PLACE pocket Point polygons polyhedra polyhedron properties regular polygons ring Modules Ring of seven Ring of three seven hexagons sheet side sizing set Spike Ball Modules square square diagonal starting starting square strip surrounded template three hexagons touching edge touching one edge triangle gyroscope modules triangle module Truncated Icosahedron Truncated Octahedron Truncated Tetrahedron type of module vertex vertices waterbomb base