If you take five squares of the same size and join them edge to edge, the resulting shape is called a pentomino. This book shows some of the possibilities, poses some problems and suggests fruitful lines of investigtion.
Pentominoes drive puzzle fans wild-and a complete set of these versatile tiles is packaged with every copy of this fun-filled book! These 12 unique shapes, each formed by 5 squares joined edge to edge, must be fitted together to match specific patterns-from simple rectangles to animals and people. Eric Harshbarger is a mathematician by education, a computer engineer by trade, and a puzzle wizard by personal choice. His website (www.ericharshbarger.org) features his astounding creations with Lego bricks, among other marvels. Book comes with a full set of plastic pentominoes, making this a great gift
Chasing Vermeer joins the Scholastic Gold line, which features award-winning and beloved novels. Includes exclusive bonus content!When a book of unexplainable occurences brings Petra and Calder together, strange things start to happen: Seemingly unrelated events connect; an eccentric old woman seeks their company; an invaluable Vermeer painting disappears. Before they know it, the two find themselves at the center of an international art scandal, where no one is spared from suspicion. As Petra and Calder are drawn clue by clue into a mysterious labyrinth, they must draw on their powers of intuition, their problem solving skills, and their knowledge of Vermeer. Can they decipher a crime that has stumped even the FBI?
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.
This book includes 110 puzzles, not as individual problems but as incidents in connected stories. The first 31 are amusingly posed by pilgrims in Chaucer's Canterbury Tales. Additional puzzles are presented using different characters. Many require only the ability to exercise logical or visual skills; others offer a stimulating challenge to the mathematically advanced.
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."
From the New York Times-bestselling team behind Chasing Vermeer comes another thought-provoking art mystery featuring Frank Lloyd Wright's Robie house--now in After Words paperback! Spring semester at the Lab School in Hyde Park finds Petra and Calder drawn into another mystery when unexplainable accidents and ghostly happenings throw a spotlight on Frank Lloyd Wright's Robie House, and it's up to the two junior sleuths to piece together the clues. Stir in the return of Calder's friend Tommy (which creates a tense triangle), H.G. Wells's The Invisible Man, 3-D pentominoes, and the hunt for a coded message left behind by Wright, and the kids become tangled in a dangerous web in which life and art intermingle with death, deception, and surprise.
Presents twenty activities ideal for an elementary classroom, each of which is divided into sections that summarize the mathematical concept being taught, the skills and knowledge the students will use and gain during the activity, and step-by-step instructions.
Pentominoes are colored geometric shapes that fit together like puzzle pieces. Activities with them encourage development of problem solving and visual perception skills, and recognition of geometric shapes and relationships. Set includes 6 sets of 12 pieces each.
In 17 chapters, this book attempts to deal with well-known and less well-known topics in mathematics. This is done in a vivid way and therefore the book contains a wealth of colour illustrations. It deals with stars and polygons, rectangles and circles, straight and curved lines, natural numbers, square numbers and much more. If you look at the illustrations, you will discover plenty of exciting and beautiful things in mathematics. The book offers a variety of suggestions to think about what is depicted and to experiment in order to make and check your own assumptions. For many topics, no (or only few) prerequisites from school lessons are needed. It is an important concern of the book that young people find their way to mathematics and that readers whose school days are some time ago discover new things. The numerous references to internet sites and further literature help in this respect. "Solutions" to the suggestions interspersed in the individual sections can be downloaded from the Springer website. The book was thus written for everyone who enjoys mathematics or who would like to understand why the book bears this title. It is also aimed at teachers who want to give their students additional or new motivation to learn. This book is a translation of the original German 2nd edition Mathematik ist schön by Heinz Klaus Strick, published by Springer-Verlag GmbH, DE, part of Springer Nature in 2019. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). In the subsequent editing, the author, with the friendly support of John O'Connor, St Andrews University, Scotland, tried to make it closer to a conventional translation. Still, the book may read stylistically differently from a conventional translation. Springer Nature works continuously to further the development of tools for the production of books and on the related technologies to support the authors.