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This innovative work replaces magic square numbers with two-dimensional forms. The result is a revelation that traditional magic squares are now better seen as the one-dimensional instance of this self-same geometrical activity.
Geometric Puzzle Book One is a collection of 40 very different puzzle worksheets that cover a variety to subjects to include: vocabulary skills, reasoning, spelling, dictionary knowledge, math, geography, facts, word meaning...plus more. The puzzles require students to use use their thinking skills in order to: (1) think and reason, (2) follow directions, (3) match facts, (4) use design information keys, (5) complete geometric designs using learned information and finally coloring finished geometric designs. The book cover shows four creative designs worksheets in Book One in finished form. All 40 worksheets produce vibrant and interesting pieces of art. This book is appropriate for grades 4-8 and can be utilized at grade 3 for advanced students, in learning centers, for home schooling and are great for the everyday puzzle solvers. Once the the puzzle information is used to answer questions and or matching puzzle data the draw drawing directions are followed. All puzzles require students to draw straight and or curved lines. Straight and curved lines create various sections of the design pattern. Once all sections are drawn and the total design is complete each section contains a number. The numbers are used to color the design following a color key. Teachers have permission, from the author, to produce classroom copies. Geometric Puzzles Book Two is also available with 40 new puzzles and 40 great designs.
You want to cut a tortilla into 8 pieces. What's the minimum number of cuts you need to make? Is it statistically harder to guess an iPhone password that uses 3-digits or one that uses 4 unique digits? Two friends agree to meet up in a bar between midnight and 1 am. Each arrives at a random time and will wait 10 minutes for the other to show before leaving. What is the probability the two will meet at the bar? What if they are playing strategically? The YouTube channel and blog Mind Your Decisions has millions of views for math videos and posts. This book is a compilation of 70 of the best puzzles, divided into 25 classic puzzles in counting and geometry, 25 probability puzzles, and 20 game theory puzzles.
A colorful collection of the most difficult geometric based puzzles on the market, compiled by Mensa puzzle setters.
This book discusses how to design "good" geometric puzzles: two-dimensional dissection puzzles, polyhedral dissections, and burrs. It outlines major categories of geometric puzzles and provides examples, sometimes going into the history and philosophy of those examples. The author presents challenges and thoughtful questions, as well as practical design and woodworking tips to encourage the reader to build his own puzzles and experiment with his own designs. Aesthetics, phychology, and mathematical considerations all factor into the definition of the quality of a puzzle.
Playing with mathematical riddles can be an intriguing and fun-filled pastime — as popular science writer Martin Gardner proves in this entertaining collection. Puzzlists need only an elementary knowledge of math and a will to resist looking up the answer before trying to solve a problem. Written in a light and witty style, Entertaining Mathematical Puzzles is a mixture of old and new riddles, grouped into sections that cover a variety of mathematical topics: money, speed, plane and solid geometry, probability, topology, tricky puzzles, and more. The probability section, for example, points out that everything we do, everything that happens around us, obeys the laws of probability; geometry puzzles test our ability to think pictorially and often, in more than one dimension; while topology, among the "youngest and rowdiest branches of modern geometry," offers a glimpse into a strange dimension where properties remain unchanged, no matter how a figure is twisted, stretched, or compressed. Clear and concise comments at the beginning of each section explain the nature and importance of the math needed to solve each puzzle. A carefully explained solution follows each problem. In many cases, all that is needed to solve a puzzle is the ability to think logically and clearly, to be "on the alert for surprising, off-beat angles...that strange hidden factor that everyone else had overlooked." Fully illustrated, this engaging collection will appeal to parents and children, amateur mathematicians, scientists, and students alike, and may, as the author writes, make the reader "want to study the subject in earnest" and explains "some of the inviting paths that wind away from the problems into lusher areas of the mathematical jungle." 65 black-and-white illustrations.
A mathematical puzzle book filled with geometrical figures and questions designed to challenge, confuse and ultimately enlighten enthusiasts of all ages. Each puzzle is carefully designed to draw out interesting phenomena/ relationships between the areas and
"Of immense interest to those who enjoy recreational maths and puzzles . . . even the most hardened puzzler will find something new." -- Mathematical Gazette Puzzles are as old as history itself, following an arc like that of technology: centuries of slow progress, followed by rapid expansion in the 1800s, and an explosion of activity in the twentieth century. This collection by bestselling author David Wells, a Cambridge math scholar and teacher, follows that pattern. Its first part is devoted to puzzles from ancient Egypt and Babylon and subsequent sources, featuring those devised by Lewis Carroll, Eduard Lucas, Sam Loyd, and other master puzzlers of the Victorian era. The second part demonstrates the tremendous variety of twentieth-century puzzles. More than 560 puzzles are included, from the "mind sharpeners" of a medieval monk to the eighteenth-century Ladies' Diary, the Hindu Bhakshali manuscript, and riddles and popular rhymes. None requires any mathematics beyond the most elementary algebra and geometry -- and few require even that. Complete answers appear at the end.
A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.
The tangram's challenge lies in arranging seven geometrical pieces — a square, rhomboid, and five triangles — into a variety of different shapes. These 700 absorbing puzzles include complete solutions.