Polyominoes

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Polyominoes: A Guide to Puzzles and Problems in Tiling

Author : George E. Martin
Publisher : American Mathematical Soc.
ISBN 13 : 1470457342
Total Pages : 199 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Polyominoes: A Guide to Puzzles and Problems in Tiling by : George E. Martin

Download or read book Polyominoes: A Guide to Puzzles and Problems in Tiling written by George E. Martin and published by American Mathematical Soc.. This book was released on 2020-08-03 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: Polyominoes will delight not only students and teachers of mathematics at all levels, but will be appreciated by anyone who likes a good geometric challenge. There are no prerequisites. If you like jigsaw puzzles, or if you hate jigsaw puzzles but have ever wondered about the pattern of some floor tiling, there is much here to interest you. A polyomino is a shape cut along the lines from square graph paper; the pronunciation of polyomino begins as does polygon and ends as does domino. Tilings, also called tessellations of mosaic patterns, are older than civilization itself. Tiling with polyominoes provides challenges that range from the popular jigsaw-like puzzles to easily understood mathematical research problems. You will find unsolved puzzles and problems of both kinds here. Answers are provided for most of the problems that have known solutions. It is only fair to repeat here the warning stated in the preface to this book, "Playing with polyominoes can be habit forming."

Polyominoes

Author : Solomon W. Golomb
Publisher : Princeton University Press
ISBN 13 : 0691215057
Total Pages : 204 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Polyominoes by : Solomon W. Golomb

Download or read book Polyominoes written by Solomon W. Golomb and published by Princeton University Press. This book was released on 2020-06-30 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inspiring popular video games like Tetris while contributing to the study of combinatorial geometry and tiling theory, polyominoes have continued to spark interest ever since their inventor, Solomon Golomb, introduced them to puzzle enthusiasts several decades ago. In this fully revised and expanded edition of his landmark book, the author takes a new generation of readers on a mathematical journey into the world of the deceptively simple polyomino. Golomb incorporates important, recent developments, and poses problems, inviting the reader to play with and develop an understanding of the extraordinary properties of polyominoes.

Polyominoes

Author : George Martin
Publisher : Cambridge University Press
ISBN 13 : 9780883855010
Total Pages : 200 pages
Book Rating : 4.8/5 (55 download)

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Book Synopsis Polyominoes by : George Martin

Download or read book Polyominoes written by George Martin and published by Cambridge University Press. This book was released on 1991 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: A book for anyone who likes a good geometric challenge.

Polygons, Polyominoes and Polycubes

Author : A. J. Guttmann
Publisher : Springer Science & Business Media
ISBN 13 : 1402099266
Total Pages : 500 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Polygons, Polyominoes and Polycubes by : A. J. Guttmann

Download or read book Polygons, Polyominoes and Polycubes written by A. J. Guttmann and published by Springer Science & Business Media. This book was released on 2009-05-18 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of counting the number of self-avoiding polygons on a square grid, - therbytheirperimeterortheirenclosedarea,is aproblemthatis soeasytostate that, at ?rst sight, it seems surprising that it hasn’t been solved. It is however perhaps the simplest member of a large class of such problems that have resisted all attempts at their exact solution. These are all problems that are easy to state and look as if they should be solvable. They include percolation, in its various forms, the Ising model of ferromagnetism, polyomino enumeration, Potts models and many others. These models are of intrinsic interest to mathematicians and mathematical physicists, but can also be applied to many other areas, including economics, the social sciences, the biological sciences and even to traf?c models. It is the widespread applicab- ity of these models to interesting phenomena that makes them so deserving of our attention. Here however we restrict our attention to the mathematical aspects. Here we are concerned with collecting together most of what is known about polygons, and the closely related problems of polyominoes. We describe what is known, taking care to distinguish between what has been proved, and what is c- tainlytrue,but has notbeenproved. Theearlierchaptersfocusonwhatis knownand on why the problems have not been solved, culminating in a proof of unsolvability, in a certain sense. The next chapters describe a range of numerical and theoretical methods and tools for extracting as much information about the problem as possible, in some cases permittingexactconjecturesto be made.

Homage to a Pied Puzzler

Author : Alan Schoen
Publisher : CRC Press
ISBN 13 : 1439865000
Total Pages : 320 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Homage to a Pied Puzzler by : Alan Schoen

Download or read book Homage to a Pied Puzzler written by Alan Schoen and published by CRC Press. This book was released on 2009-02-26 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: The tradition of honoring Martin Gardner continues with this edited collection of articles by those who have been inspired by Gardner to enter mathematics, to enter magic, to bring magic into their mathematics, or to bring mathematics into their magic. Contributing authors include world-leading puzzle designers, puzzle collectors, mathematicians, a

Formal Models, Languages And Applications

Author : K G Subramanian
Publisher : World Scientific
ISBN 13 : 9814477443
Total Pages : 420 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Formal Models, Languages And Applications by : K G Subramanian

Download or read book Formal Models, Languages And Applications written by K G Subramanian and published by World Scientific. This book was released on 2006-07-17 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of articles by leading experts in theoretical computer science, this volume commemorates the 75th birthday of Professor Rani Siromoney, one of the pioneers in the field in India. The articles span the vast range of areas that Professor Siromoney has worked in or influenced, including grammar systems, picture languages and new models of computation.

Handbook of Discrete and Computational Geometry, Second Edition

Author : Csaba D. Toth
Publisher : CRC Press
ISBN 13 : 1420035312
Total Pages : 1557 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Handbook of Discrete and Computational Geometry, Second Edition by : Csaba D. Toth

Download or read book Handbook of Discrete and Computational Geometry, Second Edition written by Csaba D. Toth and published by CRC Press. This book was released on 2004-04-13 with total page 1557 pages. Available in PDF, EPUB and Kindle. Book excerpt: While high-quality books and journals in this field continue to proliferate, none has yet come close to matching the Handbook of Discrete and Computational Geometry, which in its first edition, quickly became the definitive reference work in its field. But with the rapid growth of the discipline and the many advances made over the past seven years, it's time to bring this standard-setting reference up to date. Editors Jacob E. Goodman and Joseph O'Rourke reassembled their stellar panel of contributors, added manymore, and together thoroughly revised their work to make the most important results and methods, both classic and cutting-edge, accessible in one convenient volume. Now over more then 1500 pages, the Handbook of Discrete and Computational Geometry, Second Edition once again provides unparalleled, authoritative coverage of theory, methods, and applications. Highlights of the Second Edition: Thirteen new chapters: Five on applications and others on collision detection, nearest neighbors in high-dimensional spaces, curve and surface reconstruction, embeddings of finite metric spaces, polygonal linkages, the discrepancy method, and geometric graph theory Thorough revisions of all remaining chapters Extended coverage of computational geometry software, now comprising two chapters: one on the LEDA and CGAL libraries, the other on additional software Two indices: An Index of Defined Terms and an Index of Cited Authors Greatly expanded bibliographies

Development in Language Theory

Author : Giancarlo Mauri
Publisher : Springer Science & Business Media
ISBN 13 : 3642223206
Total Pages : 493 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Development in Language Theory by : Giancarlo Mauri

Download or read book Development in Language Theory written by Giancarlo Mauri and published by Springer Science & Business Media. This book was released on 2011-07-12 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 15th International Conference on Developments in Language Theory, DLT 2011, held in Milano, Italy, in July 2011. The 34 regular papers presented were carefully reviewed and selected from numerous submissions. The volume also contains the papers or abstracts of 5 invited speakers, as well as a 2-page abstract for each of the 7 poster papers. The topics covered include grammars, acceptors and transducers for words, trees and graphs; algebraic theories of automata; codes; symbolic dynamics; algorithmic, combinatorial and algebraic properties of words and languages; decidability questions; applications of language theory, including: natural computing, image manipulation and compression, text algorithms, cryptography, concurrency, complexity theory and logic; cellular automata and multidimensional patterns; language theory aspects of quantum computing and bio-computing.

Discrete Geometry and Mathematical Morphology

Author : Étienne Baudrier
Publisher : Springer Nature
ISBN 13 : 3031198972
Total Pages : 479 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Discrete Geometry and Mathematical Morphology by : Étienne Baudrier

Download or read book Discrete Geometry and Mathematical Morphology written by Étienne Baudrier and published by Springer Nature. This book was released on 2022-10-20 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the Second IAPR International Conference on Discrete Geometry and Mathematical Morphology, DGMM 2022, which was held during October 24-27, 2022, in Strasbourg, France. The 33 papers included in this volume were carefully reviewed and selected from 45 submissions. They were organized in topical sections as follows: discrete and combinatorial topology; discrete tomography and inverse problems; multivariate and PDE-based mathematical morphology, morphological filtering; hierarchical and Graph-Based Models, Analysis and Segmentation; discrete geometry - models, transforms, and visualization; learning based morphology to Mathematical Morphology; and distance transform. The book also contains 3 invited keynote papers.

Index to Mathematical Problems, 1975-1979

Author : Stanley Rabinowitz
Publisher : MathPro Press
ISBN 13 : 9780962640124
Total Pages : 548 pages
Book Rating : 4.6/5 (41 download)

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Book Synopsis Index to Mathematical Problems, 1975-1979 by : Stanley Rabinowitz

Download or read book Index to Mathematical Problems, 1975-1979 written by Stanley Rabinowitz and published by MathPro Press. This book was released on 1999 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Descriptional Complexity of Formal Systems

Author : Stavros Konstantinidis
Publisher : Springer
ISBN 13 : 3319946315
Total Pages : 264 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Descriptional Complexity of Formal Systems by : Stavros Konstantinidis

Download or read book Descriptional Complexity of Formal Systems written by Stavros Konstantinidis and published by Springer. This book was released on 2018-07-14 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 20th International Conference on Descriptional Complexity of Formal Systems, DCFS 2018, held in Halifax, NS, Canada, in July 2018. The 19 full papers presented were carefully reviewed and selected from 24 submissions. DCFS is an annual international working conference concerning the descriptional complexity of formal systems and structures and its applications. Topics of interest are related to all aspects of descriptional complexity and much more.

The Large, the Small and the Human Mind

Author : Roger Penrose
Publisher : Cambridge University Press
ISBN 13 : 9780521785723
Total Pages : 228 pages
Book Rating : 4.7/5 (857 download)

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Book Synopsis The Large, the Small and the Human Mind by : Roger Penrose

Download or read book The Large, the Small and the Human Mind written by Roger Penrose and published by Cambridge University Press. This book was released on 2000-04-28 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author of the provocative works The Emperor's New Mind and Shadows of the Mind now presents a masterful summary of the complex ideas presented in those books, highlighting areas of research where he perceives there are major unsolved problems that strike at the heart of our understanding of the laws of physics. Illustrated with cartoons & diagrams. 3 tables. Copyright © Libri GmbH. All rights reserved.

Computational Modeling of Objects Represented in Images

Author : Reneta P. Barneva
Publisher : Springer Science & Business Media
ISBN 13 : 3642127118
Total Pages : 339 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Computational Modeling of Objects Represented in Images by : Reneta P. Barneva

Download or read book Computational Modeling of Objects Represented in Images written by Reneta P. Barneva and published by Springer Science & Business Media. This book was released on 2010-04-23 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the refereed proceedings of the International Symposium "Computational Modeling of Objects Represented in Images. Fundamentals, Methods and Applications'', CompIMAGE 2010, held in Buffalo, NY, in May 2010. The 28 revised full papers presented were carefully reviewed and selected from 77 submissions. They are organized in topical sections on theoretical foundations of image analysis and processing; methods and applications on medical imaging, bioimaging, biometrics, and imaging in material sciences, as well as methods and applications on image reconstruction, computed tomography, and other applications.

Developments in Language Theory

Author : Mizuho Hoshi
Publisher : Springer
ISBN 13 : 3319986546
Total Pages : 581 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Developments in Language Theory by : Mizuho Hoshi

Download or read book Developments in Language Theory written by Mizuho Hoshi and published by Springer. This book was released on 2018-09-03 with total page 581 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 22nd International Conference on Developments in Language Theory, DLT 2018, held in Tokyo, Japan, in September 2018. The 39 full papers presented in this volume were carefully reviewed and selected from 84 submissions. The papers cover the following topics and areas: combinatorial and algebraic properties of words and languages; grammars, acceptors and transducers for strings, trees, graphics, arrays; algebraic theories for automata and languages; codes; efficient text algorithms; symbolic dynamics; decision problems; relationships to complexity theory and logic; picture description and analysis, polyominoes and bidimensional patterns; cryptography; concurrency; celluar automata; bio-inspired computing; quantum computing.

Language and Automata Theory and Applications

Author : Adrian Horia Dediu
Publisher : Springer
ISBN 13 : 3642009824
Total Pages : 766 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Language and Automata Theory and Applications by : Adrian Horia Dediu

Download or read book Language and Automata Theory and Applications written by Adrian Horia Dediu and published by Springer. This book was released on 2009-03-31 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Third International Conference on Language and Automata Theory and Applications, LATA 2009, held in Tarragona, Spain, in April 2009. The 58 revised full papers presented together with 3 invited lectures and two tutorials were carefully reviewed and selected from 121 submissions. The papers address all the various issues related to automata theory and formal languages.

Decorated Dyck Paths, Polyominoes, and the Delta Conjecture

Author : Michele D’Adderio
Publisher : American Mathematical Society
ISBN 13 : 1470471574
Total Pages : 138 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Decorated Dyck Paths, Polyominoes, and the Delta Conjecture by : Michele D’Adderio

Download or read book Decorated Dyck Paths, Polyominoes, and the Delta Conjecture written by Michele D’Adderio and published by American Mathematical Society. This book was released on 2022-07-18 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Combinatorial Image Analysis

Author : Reneta P. Barneva
Publisher : Springer
ISBN 13 : 3319071483
Total Pages : 284 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Combinatorial Image Analysis by : Reneta P. Barneva

Download or read book Combinatorial Image Analysis written by Reneta P. Barneva and published by Springer. This book was released on 2014-04-23 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the refereed proceedings of the 16th International Workshop on Combinatorial Image Analysis, IWCIA 2014, held in Brno, Czech Republic, in May 2014. The 20 revised full papers and 3 invited papers presented were carefully reviewed and selected from numerous submissions. The topics covered include discrete geometry and topology in imaging science, new results in image representation, segmentation, grouping, and reconstruction, medical image processing.