Geometric Origami PDF Download

Author: Faye Goldman
Publisher: Simon and Schuster
ISBN: 1626861188
Category : Crafts & Hobbies
Languages : en
Pages : 170

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Book Description
Geometric Origami is a sophisticated origami kit for advanced origami artists. Shape up with this mind-blowing origami set that includes patterns inspired by the exquisite artwork of Heinz Strobl’s Snapology Project. Create 15 paper projects using the specially designed strips included in the set: Tetrahedron, Hexahedron, Octahedron, Dodecahedron, Icosahedron, Truncated Tetrahedron, Cuboctahedron, Icosidodecahedron, Rhombic Triacontahedron, Snub Dodecahedron, Zonohedron, and Buckyballs. Don’t worry—there are even a few pronounceable shapes like an Egg and a Geometric Bracelet, plus more surprises. Gain a whole new perspective on geometry and the world of origami. Great fun for the entire family—or for your local geometry professor. Geometric Origami offers the next generation of art and paper crafting for origami enthusiasts.

Author: Cornelia Druţu
Publisher: American Mathematical Soc.
ISBN: 1470411040
Category : Mathematics
Languages : en
Pages : 841

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Book Description
The key idea in geometric group theory is to study infinite groups by endowing them with a metric and treating them as geometric spaces. This applies to many groups naturally appearing in topology, geometry, and algebra, such as fundamental groups of manifolds, groups of matrices with integer coefficients, etc. The primary focus of this book is to cover the foundations of geometric group theory, including coarse topology, ultralimits and asymptotic cones, hyperbolic groups, isoperimetric inequalities, growth of groups, amenability, Kazhdan's Property (T) and the Haagerup property, as well as their characterizations in terms of group actions on median spaces and spaces with walls. The book contains proofs of several fundamental results of geometric group theory, such as Gromov's theorem on groups of polynomial growth, Tits's alternative, Stallings's theorem on ends of groups, Dunwoody's accessibility theorem, the Mostow Rigidity Theorem, and quasiisometric rigidity theorems of Tukia and Schwartz. This is the first book in which geometric group theory is presented in a form accessible to advanced graduate students and young research mathematicians. It fills a big gap in the literature and will be used by researchers in geometric group theory and its applications.

Author: Hassler Whitney
Publisher: Princeton University Press
ISBN: 1400877571
Category : Mathematics
Languages : en
Pages : 404

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Book Description
A complete theory of integration as it appears in geometric and physical problems must include integration over oriented r-dimensional domains in n-space; both the integrand and the domain may be variable. This is the primary subject matter of the present book, designed to bring out the underlying geometric and analytic ideas and to give clear and complete proofs of the basic theorems. Originally published in 1957. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Author: Dan A. Lee
Publisher: American Mathematical Soc.
ISBN: 147045081X
Category : Mathematics
Languages : en
Pages : 377

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Book Description
Many problems in general relativity are essentially geometric in nature, in the sense that they can be understood in terms of Riemannian geometry and partial differential equations. This book is centered around the study of mass in general relativity using the techniques of geometric analysis. Specifically, it provides a comprehensive treatment of the positive mass theorem and closely related results, such as the Penrose inequality, drawing on a variety of tools used in this area of research, including minimal hypersurfaces, conformal geometry, inverse mean curvature flow, conformal flow, spinors and the Dirac operator, marginally outer trapped surfaces, and density theorems. This is the first time these topics have been gathered into a single place and presented with an advanced graduate student audience in mind; several dozen exercises are also included. The main prerequisite for this book is a working understanding of Riemannian geometry and basic knowledge of elliptic linear partial differential equations, with only minimal prior knowledge of physics required. The second part of the book includes a short crash course on general relativity, which provides background for the study of asymptotically flat initial data sets satisfying the dominant energy condition.

Author: Sherif Ghali
Publisher: Springer Science & Business Media
ISBN: 1848001150
Category : Computers
Languages : en
Pages : 338

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Book Description
Computing is quickly making much of geometry intriguing not only for philosophers and mathematicians, but also for scientists and engineers. What is the core set of topics that a practitioner needs to study before embarking on the design and implementation of a geometric system in a specialized discipline? This book attempts to find the answer. Every programmer tackling a geometric computing problem encounters design decisions that need to be solved. This book reviews the geometric theory then applies it in an attempt to find that elusive "right" design.

Author: George E. Martin
Publisher: Springer Science & Business Media
ISBN: 1461206294
Category : Mathematics
Languages : en
Pages : 210

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Book Description
Geometric constructions have been a popular part of mathematics throughout history. The first chapter here is informal and starts from scratch, introducing all the geometric constructions from high school that have been forgotten or were never learned. The second chapter formalises Plato's game, and examines problems from antiquity such as the impossibility of trisecting an arbitrary angle. After that, variations on Plato's theme are explored: using only a ruler, a compass, toothpicks, a ruler and dividers, a marked rule, or a tomahawk, ending in a chapter on geometric constructions by paperfolding. The author writes in a charming style and nicely intersperses history and philosophy within the mathematics, teaching a little geometry and a little algebra along the way. This is as much an algebra book as it is a geometry book, yet since all the algebra and geometry needed is developed within the text, very little mathematical background is required. This text has been class tested for several semesters with a master's level class for secondary teachers.

Author: Ken Morling
Publisher: Taylor & Francis
ISBN: 1000584593
Category : Technology & Engineering
Languages : en
Pages : 423

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Book Description
This introduction to descriptive geometry and contemporary drafting guides the student through the essential principles to create engineering drawings that comply with international standards of technical product specification. This heavily updated new edition now applies to CAD as well as conventional drawing. Extensive new coverage is given of: • International drafting conventions • Methods of spatial visualisation such as multi-view projection • Types of views • Dimensioning • Dimensional and geometric tolerancing • Representation of workpiece and machine elements • Assembly drawings Comprehensible illustrations and clear explanations help the reader master drafting and layout concepts for creating professional engineering drawings. The book provides a large number of exercises for each main topic. This edition covers updated material and reflects the latest ISO standards. It is ideal for undergraduates in engineering or product design, students of vocational courses in engineering communication and technology students covering the transition of product specification from design to production.

Author: Сергей Петрович Новиков
Publisher: American Mathematical Soc.
ISBN: 0821839292
Category : Mathematics
Languages : en
Pages : 658

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Book Description
Presents the basics of Riemannian geometry in its modern form as geometry of differentiable manifolds and the important structures on them. This book shows that Riemannian geometry has a great influence to several fundamental areas of modern mathematics and its applications.

Author: Ezra Miller
Publisher: American Mathematical Soc.
ISBN: 0821837362
Category : Combinatorial analysis
Languages : en
Pages : 705

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Book Description
Geometric combinatorics describes a wide area of mathematics that is primarily the study of geometric objects and their combinatorial structure. This text is a compilation of expository articles at the interface between combinatorics and geometry.

Author: Bowie Style
Publisher: Laurence King Publishing
ISBN: 178067709X
Category : Design
Languages : en
Pages : 304

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Book Description
The latest book based on the popular Print & Pattern website, Print & Pattern: Geometric celebrates beautiful surface designs, patterns, and motifs made from geometric shapes such as circles, triangles, hexagons, etc. The patterns included reflect current trends for tribal, Aztec, and Native American designs, along with Scandinavian influences and more mathematical and scientific looks. Product areas covered include stationery, cards and giftwrap, fabrics, wallpaper, rugs, ceramics, homewares, gadget skins, and more. Documenting the work of the best designers in the field, the book is an invaluable source of reference and inspiration for surface designers, designer-makers and craftspeople, graphic designers, illustrators, and textile designers.