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Features 40 challenging math games using Polyhedra and regular dice (sold separately). Includes instructions and game sheets. Based on NCTM Standards. (Reproducible) 96 pp.
Explore the conceptual origins of wargames and role-playing games in this unprecedented history of simulating the real and the impossible. From a vast survey of primary sources ranging from eighteenth-century strategists to modern hobbyists, Playing at the World distills the story of how gamers first decided fictional battles with boards and dice, and how they moved from simulating wars to simulating people. The invention of role-playing games serves as a touchstone for exploring the ways that the literary concept of character, the lure of fantastic adventure and the principles of gaming combined into the signature cultural innovation of the late twentieth century.
Tessellations: Mathematics, Art and Recreation aims to present a comprehensive introduction to tessellations (tiling) at a level accessible to non-specialists. Additionally, it covers techniques, tips, and templates to facilitate the creation of mathematical art based on tessellations. Inclusion of special topics like spiral tilings and tessellation metamorphoses allows the reader to explore beautiful and entertaining math and art. The book has a particular focus on ‘Escheresque’ designs, in which the individual tiles are recognizable real-world motifs. These are extremely popular with students and math hobbyists but are typically very challenging to execute. Techniques demonstrated in the book are aimed at making these designs more achievable. Going beyond planar designs, the book contains numerous nets of polyhedra and templates for applying Escheresque designs to them. Activities and worksheets are spread throughout the book, and examples of real-world tessellations are also provided. Key features Introduces the mathematics of tessellations, including symmetry Covers polygonal, aperiodic, and non-Euclidean tilings Contains tutorial content on designing and drawing Escheresque tessellations Highlights numerous examples of tessellations in the real world Activities for individuals or classes Filled with templates to aid in creating Escheresque tessellations Treats special topics like tiling rosettes, fractal tessellations, and decoration of tiles
Weave legendary stories in the world’s greatest roleplaying game. All you need to run a Dungeons & Dragons game is your imagination, some dice, and this book. The Dungeon Master’s Guide teaches you how to how to run D&D adventures for your players— how to invent monsters for them to fight, mysteries for them to solve, and fantasy worlds for them to explore. “[The Dungeon Master’s Guide is] the one book to rule them all, the most comprehensive and powerful set of resources needed to run a game of D&D. . .” —Charlie Hall, Polygon.com “D&D acolytes are everywhere...Tech workers from Silicon Valley to Brooklyn have long-running campaigns, and the showrunners and the novelist behind ‘Game of Thrones’ have all been Dungeon Masters.”—Neima Jahromi, The New Yorker • The Dungeon Master’s Guide is one of the three main Dungeons & Dragons books, along with the Player’s Handbook and Monster Manual. It’s a reference used by the Dungeon Master (the game’s narrator) to create adventures—to run Dungeons & Dragons games and fill them with characters and stories. • The Dungeon Master’s Guide (DMG) is full of tools to help you immerse players in the game. What’s the demon lord’s secret weakness? Are the orcish invaders a criminal enterprise, or traitorous allies? Dozens of tables throughout the book help inspire your decisions and keep the game flowing smoothly. • In the Dungeon Master’s Guide (DMG), even the tables tell tales. A legendary sword takes five decades to craft. Who created it, and why? A tavern-crawling gnome has an eye twitch. How did she get it, and when? In every detail is an architecture for narrative—and the Dungeon Master’s Guide has all the tools you need to flesh it out with ease. • In Dungeons & Dragons, you and your friends coauthor your own legend. Guided by a Dungeon Master, you create characters and play their roles in a story, rolling dice and navigating maps as you unfold a tale as limitless as your imagination. • Dungeons & Dragons is the world’s greatest roleplaying game. Created in 1974, D&D transformed gaming culture by blending traditional fantasy with miniatures and wargaming.
Polyhedra have cropped up in many different guises throughout recorded history. In modern times, polyhedra and their symmetries have been cast in a new light by combinatorics an d group theory. This book comprehensively documents the many and varied ways that polyhedra have come to the fore throughout the development of mathematics. The author strikes a balance between covering the historical development of the theory surrounding polyhedra, and presenting a rigorous treatment of the mathematics involved. It is attractively illustrated with dozens of diagrams to illustrate ideas that might otherwise prove difficult to grasp. Historians of mathematics, as well as those more interested in the mathematics itself, will find this unique book fascinating.
How a simple equation reshaped mathematics Leonhard Euler’s polyhedron formula describes the structure of many objects—from soccer balls and gemstones to Buckminster Fuller’s buildings and giant all-carbon molecules. Yet Euler’s theorem is so simple it can be explained to a child. From ancient Greek geometry to today’s cutting-edge research, Euler’s Gem celebrates the discovery of Euler’s beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. Using wonderful examples and numerous illustrations, David Richeson presents this mathematical idea’s many elegant and unexpected applications, such as showing why there is always some windless spot on earth, how to measure the acreage of a tree farm by counting trees, and how many crayons are needed to color any map. Filled with a who’s who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theorem’s development, Euler’s Gem will fascinate every mathematics enthusiast. This paperback edition contains a new preface by the author.
Mathematical Recreations and Essays W. W. Rouse Ball For nearly a century, this sparkling classic has provided stimulating hours of entertainment to the mathematically inclined. The problems posed here often involve fundamental mathematical methods and notions, but their chief appeal is their capacity to tease and delight. In these pages you will find scores of "recreations" to amuse you and to challenge your problem-solving faculties-often to the limit. Now in its 13th edition, Mathematical Recreations and Essays has been thoroughly revised and updated over the decades since its first publication in 1892. This latest edition retains all the remarkable character of the original, but the terminology and treatment of some problems have been updated and new material has been added. Among the challenges in store for you: Arithmetical and geometrical recreations; Polyhedra; Chess-board recreations; Magic squares; Map-coloring problems; Unicursal problems; Cryptography and cryptanalysis; Calculating prodigies; ... and more. You'll even find problems which mathematical ingenuity can solve but the computer cannot. No knowledge of calculus or analytic geometry is necessary to enjoy these games and puzzles. With basic mathematical skills and the desire to meet a challenge you can put yourself to the test and win. "A must to add to your mathematics library."-The Mathematics Teacher We are delighted to publish this classic book as part of our extensive Classic Library collection. Many of the books in our collection have been out of print for decades, and therefore have not been accessible to the general public. The aim of our publishing program is to facilitate rapid access to this vast reservoir of literature, and our view is that this is a significant literary work, which deserves to be brought back into print after many decades. The contents of the vast majority of titles in the Classic Library have been scanned from the original works. To ensure a high quality product, each title has been meticulously hand curated by our staff. Our philosophy has been guided by a desire to provide the reader with a book that is as close as possible to ownership of the original work. We hope that you will enjoy this wonderful classic work, and that for you it becomes an enriching experience.
This comprehensive sourcebook, which identifies and locates kits, games, and manipulatives, is organized into broad subject areas, including reading and language arts, mathematics, social studies, science and health, and the arts. Some 1,500 entries provide physical descriptions of the materials and