Orderly Tangles

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Shaping Space

Author : Marjorie Senechal
Publisher : Springer Science & Business Media
ISBN 13 : 038792714X
Total Pages : 334 pages
Book Rating : 4.3/5 (879 download)

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Book Synopsis Shaping Space by : Marjorie Senechal

Download or read book Shaping Space written by Marjorie Senechal and published by Springer Science & Business Media. This book was released on 2013-03-22 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition is based off of the very popular Shaping Space: A Polyhedral Approach, first published twenty years ago. The book is expanded and updated to include new developments, including the revolutions in visualization and model-making that the computer has wrought. Shaping Space is an exuberant, richly-illustrated, interdisciplinary guide to three-dimensional forms, focusing on the suprisingly diverse world of polyhedra. Geometry comes alive in Shaping Space, as a remarkable range of geometric ideas is explored and its centrality in our cultre is persuasively demonstrated. The book is addressed to designers, artists, architects, engineers, chemists, computer scientists, mathematicians, bioscientists, crystallographers, earth scientists, and teachers at all levels—in short, to all scholars and educators interested in, and working with, two- and three-dimensinal structures and patterns.

I of the Vortex

Author : Rodolfo R. Llinas
Publisher : MIT Press
ISBN 13 : 9780262621632
Total Pages : 324 pages
Book Rating : 4.6/5 (216 download)

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Book Synopsis I of the Vortex by : Rodolfo R. Llinas

Download or read book I of the Vortex written by Rodolfo R. Llinas and published by MIT Press. This book was released on 2002-02-22 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: A highly original theory of how the mind-brain works, based on the author's study of single neuronal cells. In I of the Vortex, Rodolfo Llinas, a founding father of modern brain science, presents an original view of the evolution and nature of mind. According to Llinas, the "mindness state" evolved to allow predictive interactions between mobile creatures and their environment. He illustrates the early evolution of mind through a primitive animal called the "sea squirt." The mobile larval form has a brainlike ganglion that receives sensory information about the surrounding environment. As an adult, the sea squirt attaches itself to a stationary object and then digests most of its own brain. This suggests that the nervous system evolved to allow active movement in animals. To move through the environment safely, a creature must anticipate the outcome of each movement on the basis of incoming sensory data. Thus the capacity to predict is most likely the ultimate brain function. One could even say that Self is the centralization of prediction. At the heart of Llinas's theory is the concept of oscillation. Many neurons possess electrical activity, manifested as oscillating variations in the minute voltages across the cell membrane. On the crests of these oscillations occur larger electrical events that are the basis for neuron-to-neuron communication. Like cicadas chirping in unison, a group of neurons oscillating in phase can resonate with a distant group of neurons. This simultaneity of neuronal activity is the neurobiological root of cognition. Although the internal state that we call the mind is guided by the senses, it is also generated by the oscillations within the brain. Thus, in a certain sense, one could say that reality is not all "out there," but is a kind of virtual reality.

LinKnot

Author : Slavik V. Jablan
Publisher : World Scientific
ISBN 13 : 9812772243
Total Pages : 497 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis LinKnot by : Slavik V. Jablan

Download or read book LinKnot written by Slavik V. Jablan and published by World Scientific. This book was released on 2007 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: LinKnot OCo Knot Theory by Computer provides a unique view of selected topics in knot theory suitable for students, research mathematicians, and readers with backgrounds in other exact sciences, including chemistry, molecular biology and physics. The book covers basic notions in knot theory, as well as new methods for handling open problems such as unknotting number, braid family representatives, invertibility, amphicheirality, undetectability, non-algebraic tangles, polyhedral links, and (2,2)-moves. Hands-on computations using Mathematica or the webMathematica package LinKnot (available online at http: //math.ict.edu.rs ) and beautiful illustrations facilitate better learning and understanding. LinKnot is also a powerful research tool for experimental mathematics implementation of Caudron's ideas. The use of Conway notation enables experimenting with large families of knots and links. Conjectures discussed in the book are explained at length. The beauty, universality and diversity of knot theory is illuminated through various non-standard applications: mirror curves, fullerens, self-referential systems, and KL automata. Sample Chapter(s). 1.1 Basic graph theory (176 KB). Contents: Notation of Knots and Links; Recognition and Generation of Knots and Links; History of Knot Theory and Applications of Knots and Links. Readership: Researchers interested in knot theory and users of Mathematica."

Connections

Author : Jay Kappraff
Publisher : World Scientific
ISBN 13 : 9810245858
Total Pages : 519 pages
Book Rating : 4.8/5 (12 download)

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Book Synopsis Connections by : Jay Kappraff

Download or read book Connections written by Jay Kappraff and published by World Scientific. This book was released on 2001 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of Connections was chosen by the National Association of Publishers (USA) as the best book in ?Mathematics, Chemistry, and Astronomy ? Professional and Reference? in 1991. It has been a comprehensive reference in design science, bringing together in a single volume material from the areas of proportion in architecture and design, tilings and patterns, polyhedra, and symmetry. The book presents both theory and practice and has more than 750 illustrations. It is suitable for research in a variety of fields and as an aid to teaching a course in the mathematics of design. It has been influential in stimulating the burgeoning interest in the relationship between mathematics and design. In the second edition there are five new sections, supplementary, as well as a new preface describing the advances in design science since the publication of the first edition.

The Rush to Policy

Author : Peter William House
Publisher : Transaction Publishers
ISBN 13 : 9781412831055
Total Pages : 452 pages
Book Rating : 4.8/5 (31 download)

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Book Synopsis The Rush to Policy by : Peter William House

Download or read book The Rush to Policy written by Peter William House and published by Transaction Publishers. This book was released on with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rush to Policy explores the appropriate role of technical analysis in policy formulation. The authors ask when and how the use of sophisticated analytic techniques in decision-making benefits the nation. They argues that these techniques are too often used in situations where they may not be needed or understood by the decision maker, where they may not be to answer the questions raised but are nonetheless required by law. House and Shull provide an excellent empirical base for describing the impact of politics on policies, policy analysis, and policy analysts. They examine cost-benefit analysis, risk analysis, and decision analysis and assess their ability to substitute for the current decision-making process in the public sector. They examine the political basis of public sector decision-making, how individuals and organizations make decisions, and the ways decisions are made in the federal sector. Also, they discuss the mandate to use these methods in the policy formulation process. The book is written by two practicing federal policy analysts who, in a decade of service as policy researchers, developed sophisticated quantitative analytic and decision-making techniques. They then spent several years trying to use them in the real world. Success and failures are described in illuminating detail, providing insight not commonly found in such critiques. The authors delineate the interaction of politics and technical issues. Their book describes policy analysis as it is, not how it ought to be. Peter W. House is the director of policy research and analysis at the National Science Foundation. He is the author of ten books on multidisciplinary science and technology policy research and analyses in government, private, and university sectors, including The Art of Public Policy Analysis and with Roger D. Shull, Regulatory Reform: Politics and the Environment and Regulations and Science: Management of Research on Demand. Roger D. Shull is a senior analyst at the Division of Policy Research and Analysis, National Science Foundation.

Machine Intelligence and Pattern Recognition

Author : Godfried T. Toussaint
Publisher : Elsevier
ISBN 13 : 1483257118
Total Pages : 472 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Machine Intelligence and Pattern Recognition by : Godfried T. Toussaint

Download or read book Machine Intelligence and Pattern Recognition written by Godfried T. Toussaint and published by Elsevier. This book was released on 2014-06-28 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Machine Intelligence and Pattern Recognition, Volume 2: Computational Geometry focuses on the operations, processes, methodologies, and approaches involved in computational geometry, including algorithms, polygons, convex hulls, and bucketing techniques. The selection first ponders on optimal parallel algorithms for selection, sorting, and computing convex hulls, simple on-line algorithms for convex polygons, and geometric algorithms that use the furthest-point Voronoi diagram. Discussions focus on algorithms that use the furthest-point Voronoi diagram, intersection of a convex polygon and a halfplane, point insertion, convex hulls and polygons and their representations, and parallel algorithm for selection and computing convex hulls. The text then examines optimal convex decompositions, expected time analysis of algorithms in computational geometry, and practical use of bucketing techniques in computational geometry. The book takes a look at minimum decompositions of polygonal objects, framework for computational morphology, display of visible edges of a set of convex polygons, and implementation study of two algorithms for the minimum spanning circle problem. Topics include rolling algorithm, shape of point sets, and decomposition of rectilinear and simple polygons and polygons with holes. The selection is a valuable source of data for researchers interested in computational geometry.

Concepts & Images

Author : Arthur Loeb
Publisher : Springer Science & Business Media
ISBN 13 : 1461203430
Total Pages : 238 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Concepts & Images by : Arthur Loeb

Download or read book Concepts & Images written by Arthur Loeb and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. Introduction . 1 2. Areas and Angles . . 6 3. Tessellations and Symmetry 14 4. The Postulate of Closest Approach 28 5. The Coexistence of Rotocenters 36 6. A Diophantine Equation and its Solutions 46 7. Enantiomorphy. . . . . . . . 57 8. Symmetry Elements in the Plane 77 9. Pentagonal Tessellations . 89 10. Hexagonal Tessellations 101 11. Dirichlet Domain 106 12. Points and Regions 116 13. A Look at Infinity . 122 14. An Irrational Number 128 15. The Notation of Calculus 137 16. Integrals and Logarithms 142 17. Growth Functions . . . 149 18. Sigmoids and the Seventh-year Trifurcation, a Metaphor 159 19. Dynamic Symmetry and Fibonacci Numbers 167 20. The Golden Triangle 179 21. Quasi Symmetry 193 Appendix I: Exercise in Glide Symmetry . 205 Appendix II: Construction of Logarithmic Spiral . 207 Bibliography . 210 Index . . . . . . . . . . . . . . . . . . . . 225 Concepts and Images is the result of twenty years of teaching at Harvard's Department of Visual and Environmental Studies in the Carpenter Center for the Visual Arts, a department devoted to turning out students articulate in images much as a language department teaches reading and expressing one self in words. It is a response to our students' requests for a "handout" and to l our colleagues' inquiries about the courses : Visual and Environmental Studies 175 (Introduction to Design Science), YES 176 (Synergetics, the Structure of Ordered Space), Studio Arts 125a (Design Science Workshop, Two-Dimension al), Studio Arts 125b (Design Science Workshop, Three-Dimensional),2 as well as my freshman seminars on Structure in Science and Art.

Connections: The Geometric Bridge Between Art & Science (2nd Edition)

Author : Jay Kappraff
Publisher : World Scientific
ISBN 13 : 9814491322
Total Pages : 519 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Connections: The Geometric Bridge Between Art & Science (2nd Edition) by : Jay Kappraff

Download or read book Connections: The Geometric Bridge Between Art & Science (2nd Edition) written by Jay Kappraff and published by World Scientific. This book was released on 2001-11-28 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of Connections was chosen by the National Association of Publishers (USA) as the best book in “Mathematics, Chemistry, and Astronomy — Professional and Reference” in 1991. It has been a comprehensive reference in design science, bringing together in a single volume material from the areas of proportion in architecture and design, tilings and patterns, polyhedra, and symmetry. The book presents both theory and practice and has more than 750 illustrations. It is suitable for research in a variety of fields and as an aid to teaching a course in the mathematics of design. It has been influential in stimulating the burgeoning interest in the relationship between mathematics and design. In the second edition there are five new sections, supplementary, as well as a new preface describing the advances in design science since the publication of the first edition.

Mathematical Wizardry for a Gardner

Author : Ed Pegg Jr
Publisher : CRC Press
ISBN 13 : 1439865396
Total Pages : 286 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Mathematical Wizardry for a Gardner by : Ed Pegg Jr

Download or read book Mathematical Wizardry for a Gardner written by Ed Pegg Jr and published by CRC Press. This book was released on 2009-04-20 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, world-leading puzzle designers, puzzle collectors, mathematicians, and magicians continue the tradition of honoring Martin Gardner, who inspired them to enter mathematics, to enter magic, to bring magic into their mathematics, or to bring mathematics into their magic. This edited collection contains a variety of articles connected t

Orderly Tangles

Author : Alan Holden
Publisher :
ISBN 13 : 9780231055444
Total Pages : 97 pages
Book Rating : 4.0/5 (554 download)

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Book Synopsis Orderly Tangles by : Alan Holden

Download or read book Orderly Tangles written by Alan Holden and published by . This book was released on 1983 with total page 97 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses the geometry of highway interchanges, knots, weaving, cat's cradle, and linked chains of polyhedrons

No More Separate Spheres!

Author : Cathy N. Davidson
Publisher : Duke University Press
ISBN 13 : 9780822328933
Total Pages : 452 pages
Book Rating : 4.3/5 (289 download)

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Book Synopsis No More Separate Spheres! by : Cathy N. Davidson

Download or read book No More Separate Spheres! written by Cathy N. Davidson and published by Duke University Press. This book was released on 2002-05-10 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: DIVArgues against the use of male/female gender categories to characterize public and domestic life./div

World-Games

Author : Cristopher Nash
Publisher : Taylor & Francis
ISBN 13 : 1040145191
Total Pages : 346 pages
Book Rating : 4.0/5 (41 download)

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Book Synopsis World-Games by : Cristopher Nash

Download or read book World-Games written by Cristopher Nash and published by Taylor & Francis. This book was released on 2024-10-31 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contemporary readers face a literature that seems to ‘speak for’ them, yet they often struggle to say just how or why. Out of the deluge of works from such writers as Barth, Barthelme, Beckett, Borges, Brooke-Rose, Burroughs, Butor, Calvino, Cortázar, Federman, Fuentes, Le Guin, Márquez, McElroy, Nabokov, O’Brien, Pynchon, Robbe-Grillet, Sanguineti, Sarraute, Sollers, Sukenick, Tolkien, Vonnegut, new words and world-models that demand understanding fill the air. Yet they seem frequently beyond reach because the framework of ideas within which this often brilliant but seemingly bewilderingly disparate flood of discourses might make sense remains largely unexpressed. Beginning with the first concisely concerted assessment in English of the premisses and practice of Realism as viewed by those who feel that there is no choice but to move on, this book (first published in 1987) confronts the vocabulary and rhetoric of current radical theory with the actual procedures of post-war fiction. In a spirit of challenging experiment, it scrutinizes the themes, motifs, and strategies of contemporary narrative and reveals an unsuspected continuity of hitherto concealed premisses and dilemmas built into recent postmodern and poststructuralist thought. As provocative as the literature it regards, it proposes that anti-Realism is no longer merely a ‘movement’ – that it has become a massive and equally conventionalized and problematical tradition living alongside Realism throughout the Western world.

Origami^{3}

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Author : Thomas Hull
Publisher : CRC Press
ISBN 13 : 1439870047
Total Pages : 363 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Origami^{3} by : Thomas Hull

Download or read book Origami^{3} written by Thomas Hull and published by CRC Press. This book was released on 2002-07-18 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains papers from the proceedings of the 3rd International Meeting of Origami Science, Math, and Education, sponsored by OrigamiUSA. They cover topics ranging from the mathematics of origami using polygon constructions and geometric projections, applications, and science of origami, and the use of origami in education.

Space Structures

Author : A. Loeb
Publisher : Springer Science & Business Media
ISBN 13 : 1461204372
Total Pages : 202 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Space Structures by : A. Loeb

Download or read book Space Structures written by A. Loeb and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: xiv aggregates: this touches on the very nature of things. The concept of statistical symmetry which Loeb develops is particularly important, it emphasizes the limitations in seemingly random aggregates and for permits general statements of which the crystallographer's sym metries are only special cases. The reductionist and holistic approaches to the world have been at war with each other since the times of the Greek philosophers and before. In nature, parts clearly do fit together into real structures, and the parts are affected by their environment. The problem is one of understanding. The mystery that remains lies largely in the nature of structural hierarchy, for the human mind can examine nature on many different scales sequentially but not simultaneously. Arthur Loeb's monograph is a fundamental one, but one can sense a devel opment from the relations between his zero-and three-dimensional cells to the far more complex world of organisms and concepts. It is structure that makes the difference between a cornfield and a cake, between an aggregate of cells and a human being, between a random group of human beings and a society. We can perceive anything only when we perceive its structure, and we think by structural analogy and comparison. Several books have been published showing the beauty of form in nature. This one has the beauty of a work of art, but it grows out of rigorous mathematics and from the simplest of bases-dimensional ity, extent and valency.

Discrete Mathematics in the Schools

Author : Joseph G. Rosenstein
Publisher : American Mathematical Soc.
ISBN 13 : 9780821885789
Total Pages : 492 pages
Book Rating : 4.8/5 (857 download)

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Book Synopsis Discrete Mathematics in the Schools by : Joseph G. Rosenstein

Download or read book Discrete Mathematics in the Schools written by Joseph G. Rosenstein and published by American Mathematical Soc.. This book was released on with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides teachers of all levels with a great deal of valuable material to help them introduce discrete mathematics into their classrooms.

Totally Tangled

Author : Sandy Bartholomew
Publisher : Fox Chapel Publishing
ISBN 13 : 1607651181
Total Pages : 52 pages
Book Rating : 4.6/5 (76 download)

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Book Synopsis Totally Tangled by : Sandy Bartholomew

Download or read book Totally Tangled written by Sandy Bartholomew and published by Fox Chapel Publishing. This book was released on 2010-01-01 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: These versatile graphics can be used to decorate any surface. Micron pens make drawing the tangles simple and permanent. Zentangle is about filling spaces using pattern with a simple line, and becomes more attractive and complex as areas are filled. The process is appealing to graphics artists as well as those just learning to draw.

Slippers of Pearl

Author : Danyelle Leafty
Publisher : Curious Leaf Press
ISBN 13 :
Total Pages : 288 pages
Book Rating : 4./5 ( download)

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Book Synopsis Slippers of Pearl by : Danyelle Leafty

Download or read book Slippers of Pearl written by Danyelle Leafty and published by Curious Leaf Press. This book was released on with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shoes, unlike magic, are predictable. They don’t change shape, bite, or alter a person’s destiny. And that’s just how Faryn likes it. But his Uncle Harvey has a bad habit of dying. While inconvenient, this hasn’t ever been a problem until now. Thanks to an evil witch and a poisoned apple turnover, Harvey is dead again—permanently this time. As his uncle’s heir, Faryn has to give up shoemaking in order to accept and refine his magic. Magic he never wanted. Unwilling to let go of his dream, but unable to escape his destiny, Faryn combines the two and discovers a knack for making magical shoes. He also learns that turning a person into a goose is a lot easier than turning her back, and that he severely underestimated how much trouble magic can be. The witch who killed his uncle is trying to control all the magic of the land, and it’s up to Faryn to stop her. If only he can get his magic to cooperate in time.