Polyparallelogram Puzzles And Tiling Problems

Author : Raymond R. Fletcher III
Publisher : Xlibris Corporation
ISBN 13 : 1796097896
Total Pages : 245 pages
Book Rating : 4.94/5 ( download)

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Download or read book Polyparallelogram Puzzles and Tiling Problems written by Raymond R. Fletcher III and published by Xlibris Corporation. This book was released on with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: A mathematical puzzle book which involves labeling vertices of a plane graph with elements from an abelian group G such that the labels applied to the bounding vertices of each region have the same sum in G. The plane graphs are those formed by the edges and vertices of various types of parallelograms fitted together edge to edge. We call these polyparallelograms. The polyparallelogram puzzles are organized into the following categories according to the types of parallelograms involved: (i) polysquares (or polyominoes; (ii) 60/120 rhombs; (iii) 36/144 and 72/108 rhombs (Penrose rhombs); (iv) various lattice parallelograms. The reader is introduced to the theory of polyparallelogram tilings of polygons, and challenged with problems and research questions at the end of each Chapter. All that is required of the elementary theory of graphs and abelian groups is included in the text. Also included are a variety of pure tiling problems involving nonparallelogram lattice quadrilaterals. “Polyparallelogram Puzzles and Tiling Problems” is a sequel to “Polycubes, Triangulations and Polyhexes over Zn” and features a similar type of puzzle but is more engaging mathematically.

Author : Raymond R. Fletcher III
Publisher : Xlibris Us
ISBN 13 : 9781796097900
Total Pages : 202 pages
Book Rating : 4.0X/5 ( download)

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Download or read book Polyparallelogram Puzzles and Tiling Problems written by Raymond R. Fletcher III and published by Xlibris Us. This book was released on 2020-04-24 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: A mathematical puzzle book which involves labeling vertices of a plane graph with elements from an abelian group G such that the labels applied to the bounding vertices of each region have the same sum in G. The plane graphs are those formed by the edges and vertices of various types of parallelograms fitted together edge to edge. We call these polyparallelograms. The polyparallelogram puzzles are organized into the following categories according to the types of parallelograms involved: (i) polysquares (or polyominoes; (ii) 60/120 rhombs; (iii) 36/144 and 72/108 rhombs (Penrose rhombs); (iv) various lattice parallelograms. The reader is introduced to the theory of polyparallelogram tilings of polygons, and challenged with problems and research questions at the end of each Chapter. All that is required of the elementary theory of graphs and abelian groups is included in the text. Also included are a variety of pure tiling problems involving nonparallelogram lattice quadrilaterals. "Polyparallelogram Puzzles and Tiling Problems" is a sequel to "Polycubes, Triangulations and Polyhexes over Zn" and features a similar type of puzzle but is more engaging mathematically.

Author : George Martin
Publisher : Cambridge University Press
ISBN 13 : 9780883855010
Total Pages : 200 pages
Book Rating : 4.11/5 ( download)

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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.

Author : Francesco D'Andrea
Publisher : Springer Nature
ISBN 13 : 3031284283
Total Pages : 203 pages
Book Rating : 4.81/5 ( download)

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Download or read book A Guide to Penrose Tilings written by Francesco D'Andrea and published by Springer Nature. This book was released on 2023-08-19 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an elementary introduction, complete with detailed proofs, to the celebrated tilings of the plane discovered by Sir Roger Penrose in the '70s. Quasi-periodic tilings of the plane, of which Penrose tilings are the most famous example, started as recreational mathematics and soon attracted the interest of scientists for their possible application in the description of quasi-crystals. The purpose of this survey, illustrated with more than 200 figures, is to introduce the curious reader to this beautiful topic and be a reference for some proofs that are not easy to find in the literature. The volume covers many aspects of Penrose tilings, including the study, from the point of view of Connes' Noncommutative Geometry, of the space parameterizing these tilings.

Author :
Publisher :
ISBN 13 :
Total Pages : 968 pages
Book Rating : 4.51/5 ( download)

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Download or read book Scientific American written by and published by . This book was released on 1975 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : George Pólya
Publisher : Princeton University Press
ISBN 13 : 069116407X
Total Pages : 288 pages
Book Rating : 4.76/5 ( download)

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Download or read book How to Solve it written by George Pólya and published by Princeton University Press. This book was released on 2014 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out--from building a bridge to winning a game of anagrams."--Back cover.

Author : Paul Zeitz
Publisher : John Wiley & Sons
ISBN 13 : 1119239907
Total Pages : 389 pages
Book Rating : 4.01/5 ( download)

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Download or read book The Art and Craft of Problem Solving written by Paul Zeitz and published by John Wiley & Sons. This book was released on 2017 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text on mathematical problem solving provides a comprehensive outline of "problemsolving-ology," concentrating on strategy and tactics. It discusses a number of standard mathematical subjects such as combinatorics and calculus from a problem solver's perspective.

Author : Arthur Engel
Publisher : Springer Science & Business Media
ISBN 13 : 0387226419
Total Pages : 404 pages
Book Rating : 4.15/5 ( download)

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Download or read book Problem-Solving Strategies written by Arthur Engel and published by Springer Science & Business Media. This book was released on 2008-01-19 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.

Author : Percy Alexander MacMahon
Publisher :
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.28/5 ( download)

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Download or read book New Mathematical Pastimes written by Percy Alexander MacMahon and published by . This book was released on 1921 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Martin Gardner
Publisher : American Mathematical Soc.
ISBN 13 : 1470463652
Total Pages : 295 pages
Book Rating : 4.56/5 ( download)

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Download or read book Time Travel and Other Mathematical Bewilderments written by Martin Gardner and published by American Mathematical Soc.. This book was released on 2020-10-06 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Martin Gardner's Mathematical Games columns in Scientific American inspired and entertained several generations of mathematicians and scientists. Gardner in his crystal-clear prose illuminated corners of mathematics, especially recreational mathematics, that most people had no idea existed. His playful spirit and inquisitive nature invite the reader into an exploration of beautiful mathematical ideas along with him. These columns were both a revelation and a gift when he wrote them; no one--before Gardner--had written about mathematics like this. They continue to be a marvel. This is the original 1988 edition and contains columns published from 1974-1976.