Geometric Folding Algorithms: Linkages, Origami, Polyhedra by Erik D. Demaine,Joseph O'Rourke

By Erik D. Demaine,Joseph O'Rourke

were you aware that any straight-line drawing on paper should be folded in order that the whole drawing will be lower out with one directly scissors lower? that there's a planar linkage that could hint out any algebraic curve, or perhaps 'sign your name'? Or 'Latin move' unfolding of a dice will be refolded to 23 various convex polyhedra? during the last decade, there was a surge of curiosity in such difficulties, with functions starting from robotics to protein folding. With an emphasis on algorithmic or computational points, this therapy supplies enormous quantities of effects and over 60 unsolved 'open difficulties' to encourage extra examine. The authors conceal one-dimensional (1D) gadgets (linkages), second gadgets (paper), and 3D gadgets (polyhedra). geared toward complicated undergraduate and graduate scholars in arithmetic or laptop technology, this lavishly illustrated e-book will fascinate a huge viewers, from institution scholars to researchers.

Show description

Read Online or Download Geometric Folding Algorithms: Linkages, Origami, Polyhedra PDF

Best geometry & topology books

Finsler Geometry: An Approach via Randers Spaces

"Finsler Geometry: An procedure through Randers areas" solely bargains with a different type of Finsler metrics -- Randers metrics, that are outlined because the sum of a Riemannian metric and a 1-form. Randers metrics derive from the study on common Relativity idea and feature been utilized in lots of parts of the average sciences.

Mathematical Concepts

The most goal of this e-book is to explain and strengthen the conceptual, structural and summary contemplating arithmetic. particular mathematical buildings are used to demonstrate the conceptual strategy; delivering a deeper perception into mutual relationships and summary universal positive factors. those rules are conscientiously inspired, defined and illustrated by way of examples in order that some of the extra technical proofs could be passed over.

Modern General Topology (Bibliotheca Mathematica)

Bibliotheca Mathematica: a sequence of Monographs on natural and utilized arithmetic, quantity VII: glossy common Topology specializes in the techniques, operations, rules, and ways hired in natural and utilized arithmetic, together with areas, cardinal and ordinal numbers, and mappings. The ebook first elaborates on set, cardinal and ordinal numbers, easy suggestions in topological areas, and diverse topological areas.

Fractal Functions, Fractal Surfaces, and Wavelets

Fractal services, Fractal Surfaces, and Wavelets, moment version, is the 1st systematic exposition of the speculation of neighborhood iterated functionality platforms, neighborhood fractal capabilities and fractal surfaces, and their connections to wavelets and wavelet units. The publication relies on Massopust’s paintings on and contributions to the speculation of fractal interpolation, and the writer makes use of a few tools—including research, topology, algebra, and chance theory—to introduce readers to this interesting topic.

Additional resources for Geometric Folding Algorithms: Linkages, Origami, Polyhedra

Sample text

Download PDF sample

Rated 4.13 of 5 – based on 41 votes