"The CD-ROM is an extension of the book. It contains color versions of many of the art works that are shown in the book in black and white, as well as additional work by the artists. It gives vignettes of the conference ... animations, short videos, and interactive puzzles."--Page vii.

This one-of-a-kind publication explores M. C. Escher's periodic drawings and their suitability as surface designs for Kaleidocycles -- three-dimensional rings formed from chains of tetrahedra (four-sided geometric forms). Includes seventeen Kaleidocycle models, all printed with repeating patterns from Escher's drawings, and a lavishly illustrated (over eighty illustrations and diagrams) book giving assembly instructions.

Intricate patterns, elegant geometries, and mind-boggling graphics are trademarks of the fascinating creations of M.C. Escher. This set puts his magical visual world right at your fingertips with 17 easy-to-assemble paper sculptures, transforming his dynamically repeating patterns into three-dimensional polyhedra. The accompanying booklet reviews the geometric principles and artistic invention underlying Escher's optical marvels.

Softcover printing of a popular title (h/c sold over 400 copies in North America) at a price that will make it accessible to a much wider audience Richly illustrated with original art works in addition to well-known and little-known works by Escher A CD-ROM complements the articles, containing color illustrations of work by contemporary artists, movies, animations, and other demonstrations

The breadth of this work will allow the reader to acquire a comprehensive and panoramic picture of the nature of innovation within a single handbook.

I have no doubt that many of you who read this book will be captivated by it, just as I have been captivated. This book is woven through evocative stories told by masterful educators who came together to explore the meanings of learning, teaching, and life. For those who have read Speaking of Teaching, it is not a surprise to hear, again, the profoundly touching, humane, and imaginative voices of these authors. This book draws me in, touches my heart, and refreshes my mind. —Hongyu Wang, Professor, Oklahoma State University, Tulsa, OK, US The authors invite us to join them in asking, “What else can learning be?” What else indeed? What is beyond the recipes, rubrics, formulas, and credentials of contemporary education? Deep in the heart of their own personal stories, told and untold, spoken and unspoken, the authors search and tell. With an artful admixture of stories, poems, artwork, and reflections, this book is a rare opportunity to listen in on an eight-year extended conversation amongst these gifted educators as they become increasingly present in their learning journeys. —Arden Henley, Professor and Principal, Canadian Programs, City University of Seattle, Vancouver, BC, Canada

People in all walks of life--and perhaps mathematicians especially--delight in working on problems for the sheer pleasure of meeting a challenge. The problem section of SIAM Review has always provided such a challenge for mathematicians. The section was started to offer classroom instructors and their students as well as other interested problemists, a set of problems--solved or unsolved-- illustrating various applications of mathematics. In many cases the unsolved problems were eventually solved. Problems in Applied Mathematics is a compilation of 380 of SIAM Review's most interesting problems dating back to the journal's inception in 1959. The problems are classified into 22 broad categories including Series, Special Functions, Integrals, Polynomials, Probability, Combinatorics, Matrices and Determinants, Optimization, Inequalities, Ordinary Differential Equations, Boundary Value Problems, Asymptotics and Approximations, Mechanics, Graph Theory, and Geometry.

The first comprehensive book on the topic in half a century explores recent symmetry – and symmetry breaking – related discoveries, and discusses the questions and answers they raise in diverse disciplines: particle and high-energy physics, structural chemistry and the biochemistry of proteins, in genetic code study, in brain research, and also in architectural structures, and business decision making, to mention only a few examples.

Flexagons are hinged polygons that have the intriguing property of displaying different pairs of faces when they are flexed. Workable paper models of flexagons are easy to make and entertaining to manipulate. Flexagons have a surprisingly complex mathematical structure and just how a flexagon works is not obvious on casual examination of a paper model. Flexagons may be appreciated at three different levels. Firstly as toys or puzzles, secondly as a recreational mathematics topic and finally as the subject of serious mathematical study. This book is written for anyone interested in puzzles or recreational maths. No previous knowledge of flexagons is assumed, and the only pre-requisite is some knowledge of elementary geometry. An attractive feature of the book is a collection of nets, with assembly instructions, for a wide range of paper models of flexagons. These are printed full size and laid out so they can be photocopied.