Download or read book The Puzzling World of Polyhedral Dissections written by Stewart T. Coffin and published by Oxford University Press, USA. This book was released on 1991 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: For many years Stewart Coffin has been inventing and building solid geometrical puzzles. His craftsmanship and originality of design have won him a devoted following among puzzle enthusiasts and collectors the world over. In this unique book, Stewart provides an enjoyable and educational guide to the history, geometry, and practical construction of three-dimensional puzzles. The Puzzling World of Polyhedral Dissections includes full coverage of the many different types of interlocking assembly puzzles, from burrs, Tangrams, and polyominoes to those using such polyhedra as the rhombic dodecahedron and truncated octahedron. Coffin also describes numerous puzzles designed by himself and other inventors, many never before published. The volume is illustrated with over 200 line drawings and photographs to help enthusiasts build their own versions of these challenging and fascinating interlocking solids. Many unsolved problems are considered that will challenge mathematicians, computer buffs, and puzzle fanatics for years to come.
Download or read book The Puzzling World of Polyhedral Dissections written by Stewart T. Coffin and published by Oxford University Press, USA. This book was released on 1990 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an enjoyable and educational guide to the history, geometry, and practical construction of three-dimensional puzzles. It includes full coverage of the many different types of interlocking assembly puzzles, from burrs, Tangrams, and polyominoes to those using such polyhedra as the rhombic dodecahedron and truncated octahedron. The author, a well-known inventor and builder of solid geometrical puzzles, also describes numerous puzzles designed by himself and other inventors, many never before published. The volume is illustrated with over 200 line drawings and photographs to help enthusiasts build their own versions of these challenging and fascinating interlocking solids. Many unsolved problems are considered that will challenge mathematicians, computer buffs, and puzzle fanatics for years to come.
Download or read book CRC Concise Encyclopedia of Mathematics written by Eric W. Weisstein and published by CRC Press. This book was released on 2002-12-12 with total page 3253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d
Download or read book Katachi Symmetry written by Tohru Ogawa and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Japanese culture the concept of katachi has special significance, connoting relationships and connectedness. Although katachi cannot be translated precisely, it corresponds most closely to "form," "shape," "pattern," or "Gestalt". The contemporary study of katachi is interdisciplinary and encompasses virtually all scientific and aesthetic endeavors. Katachi research seeks to bridge the gap between cultures - whether the "two cultures" of C.P. Snow or the contrasting cultures of East and West. To help achieve this aim and to foster international cooperation, the interdisciplinary symposium titled "Katachi "U" Symmetry" was convened in Tsukuba, Japan, November 21 - 25, 1994. With many participants from differing backgrounds and cultural perspectives, the symposium was the culmination of 15 years of work in the field. Like-minded researchers and philosophers came together from two movements in interdisciplinary studies of katachi and symmetry that arose in the 1980s, one in Japan, the other in Hungary. The proceedings of the symposium will stimulate and provoke the interest of scientists and mathematicians, engineers and architects, philosophers and semioticians - indeed, all those with a lively sense of curiosity and a wide-ranging intellect.
Download or read book The Universal Book of Mathematics written by David Darling and published by Turner Publishing Company. This book was released on 2008-04-21 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for David Darling The Universal Book of Astronomy "A first-rate resource for readers and students of popular astronomy and general science. . . . Highly recommended." -Library Journal "A comprehensive survey and . . . a rare treat." -Focus The Complete Book of Spaceflight "Darling's content and presentation will have any reader moving from entry to entry." -The Observatory magazine Life Everywhere "This remarkable book exemplifies the best of today's popular science writing: it is lucid, informative, and thoroughly enjoyable." -Science Books & Films "An enthralling introduction to the new science of astrobiology." -Lynn Margulis Equations of Eternity "One of the clearest and most eloquent expositions of the quantum conundrum and its philosophical and metaphysical implications that I have read recently." -The New York Times Deep Time "A wonderful book. The perfect overview of the universe." -Larry Niven
Download or read book Geometric Puzzle Design written by Stewart Coffin and published by CRC Press. This book was released on 2016-04-19 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses how to design "good" geometric puzzles: two-dimensional dissection puzzles, polyhedral dissections, and burrs. It outlines major categories of geometric puzzles and provides examples, sometimes going into the history and philosophy of those examples. The author presents challenges and thoughtful questions, as well as practical d
Download or read book The Lure of Faraway Places written by Herb Pohl and published by Dundurn. This book was released on 2007-05-11 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Lure of Faraway Places is the publication canoeist Herb Pohl (1930-2006) did not live to see published. But Pohl's words and images provide a unique portrait of Canada by one who was happiest when travelling our northern waterways alone. Austrian-born Herb Pohl died at the mouth of the Michipcoten River on July 17, 2006. He is remembered as "Canada's most remarkable solo traveller." While mourning their loss, Herb Pohl's friends found, to their surprise and delight, a manuscript of wilderness writings on his desk in his lakeside apartment in Burlington, Ontario. He had hoped one day to publish his work as a book. With help and commentary from best-selling canoe author and editor James Raffan, Natural Heritage is proud to present that book, Herb's book, The Lure of Faraway Places. "There's nothing like it in canoeing literature," says Raffan. "It's part journal, part memoir, part wilderness philosophy and part tips and tricks of the most pragmatic kind written about parts of the country most of us will never see by the most committed and ambitious solo canoeist in Canadian history."
Download or read book The Mathemagician and Pied Puzzler written by Elwyn R. Berlekamp and published by CRC Press. This book was released on 1999-03-08 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises an imaginative collection of pieces created in tribute to Martin Gardner. Perhaps best known for writing Scientific American's "Mathematical Games" column for years, Gardner used his personal exuberance and fascination with puzzles and magic to entice a wide range of readers into a world of mathematical discovery. This tribute
Download or read book Glimpses into the World of Mathematics written by Szymon Chlebowski and published by LIT Verlag Münster. This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Essays collected in this volume deal with various problems from the philosophy of mathematics. What connects them are two questions: how mathematics is created and how it is acquired. In 'Three Worlds of Mathematics' we are familiarized with David Tall's ideas pertaining to the embodied, symbolic and formal worlds of mathematics. In 'Basic Ideas of Intuitionism', we focus on an epistemological approach to mathematics which is distinctive to constructive mathematics. The author focuses on the computational content of intuitionistic logic and shows how it relates to functional programming. 'The Brave Mathematical Ant' carefully selects mathematical puzzles related to teaching experiences in a way that the solution requires creativity and is not obtainable by following an algorithm. Moreover the solution gives us some new insight into the underlying idea. 'Degrees Of Accessibility Of Mathematical Objects' discusses various criteria which can be used to judge accessibility of mathematical objects. We find logical complexity, range of applications, existence of a physical model as well as aesthetic values.
Download or read book The Pea and the Sun written by Leonard M. Wapner and published by CRC Press. This book was released on 2005-04-29 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Take an apple and cut it into five pieces. Would you believe that these five pieces can be reassembled in such a fashion so as to create two apples equal in shape and size to the original? Would you believe that you could make something as large as the sun by breaking a pea into a finite number of pieces and putting it back together again? Neither did Leonard Wapner, author of The Pea and the Sun, when he was first introduced to the Banach-Tarski paradox, which asserts exactly such a notion. Written in an engaging style, The Pea and the Sun catalogues the people, events, and mathematics that contributed to the discovery of Banach and Tarski's magical paradox. Wapner makes one of the most interesting problems of advanced mathematics accessible to the non-mathematician.
Download or read book Modular Origami written by Tung Ken Lam and published by Schiffer + ORM. This book was released on 2023-02-28 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: For anyone who wants to delve into decorative modular origami ornaments. Readers will learn to fold colored paper into simple shapes, known as modules, and how to put them together, without using sticky tape or glue, to create amazing and attractive ornaments and sculptures. The 25 models presented will show readers how to create 18 projects, which begin at a very simple level so that they can succeed on their first try. Subsequent models and projects allow readers to develop their skills, so that by the time they reach the last project, they will be folding and assembling something extraordinary. Each of the designs can be customized using different kinds of paper and combinations of colors so that each finished ornament will be a unique and personal expression of the design.
Download or read book Discrete and Computational Geometry written by Jin Akiyama and published by Springer Science & Business Media. This book was released on 2001-06-20 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: TheJapanConferenceonDiscreteandComputationalGeometry(JCDCG)has beenheldannuallysince1997. Oneofthegoalsofthisconferenceseriesistobring togetherJapaneseresearchersfrombothacademiaandindustrywithresearchers inthese?eldsfromabroadtosharetheirrecentresults. JCDCG2000washeld22–25November2000atTokaiUniversityinTokyo inconjunctionwiththecelebrationofWorldMathematicsYear2000. Atotalof 120participantsfrom20countriesattended. Thisvolumeconsistsofthepapers presentedatJCDCG2000,whichhavebeenrefereedandrevised. Somepapers whichappearinshortforminthisvolumealsoappearinfullerexpandedversions injournalsdedicatedtocomputationalgeometry. Theorganizersoftheconferencethanktheprincipalspeakersfortheir- terestandsupport:ImreBarany,ErikD. Demaine,GregN. Fredrickson,Gyula Karolyi,NaokiKatoh,DavidKirkpatrick,JosephO’Rourke,JanosPach,Jozsef Solymosi,WilliamSteiger,JorgeUrrutia,andAllanWilks.
Download or read book Geometric Dissections written by Harry Lindgren and published by . This book was released on 1964 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
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
Download or read book Inspiring Mathematics Lessons from the Navajo Nation Math Circles written by Dave Auckly and published by American Mathematical Soc.. This book was released on 2019-12-05 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: The people of the Navajo Nation know mathematics education for their children is essential. They were joined by mathematicians familiar with ways to deliver problems and a pedagogy that, through exploration, shows the art, joy and beauty in mathematics. This combined effort produced a series of Navajo Math Circles—interactive mathematical explorations—across the Navajo Reservation. This book contains the mathematical details of that effort. Between its covers is a thematic rainbow of problem sets that were used in Math Circle sessions on the Reservation. The problem sets are good for puzzling over and exploring the mathematical ideas within. They will help nurture curiosity and confidence in students. The problems come with suggestions for pacing, for adjusting the problems to be more or less challenging, and for different approaches to solving them. This book is a wonderful resource for any teacher wanting to enrich the mathematical lives of students and for anyone curious about mathematical thinking outside the box. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.
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.
