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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.
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
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.
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
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."
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.
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.
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
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