Author: Joseph O'Rourke Publisher: Cambridge University Press ISBN: 1009098403 Category : Computers Languages : en Pages : 143
Book Description
Explores the beautifully intricate dynamics of pop-up cards using high school mathematics, making tangible what is often dry and abstract.
Author: Joseph O'Rourke Publisher: Cambridge University Press ISBN: 1009115472 Category : Mathematics Languages : en Pages : 144
Book Description
Anyone browsing at the stationery store will see an incredible array of pop-up cards available for any occasion. The workings of pop-up cards and pop-up books can be remarkably intricate. Behind such designs lies beautiful geometry involving the intersection of circles, cones, and spheres, the movements of linkages, and other constructions. The geometry can be modelled by algebraic equations, whose solutions explain the dynamics. For example, several pop-up motions rely on the intersection of three spheres, a computation made every second for GPS location. Connecting the motions of the card structures with the algebra and geometry reveals abstract mathematics performing tangible calculations. Beginning with the nephroid in the 19th-century, the mathematics of pop-up design is now at the frontiers of rigid origami and algorithmic computational complexity. All topics are accessible to those familiar with high-school mathematics; no calculus required. Explanations are supplemented by 140+ figures and 20 animations.
Author: DK Publisher: National Geographic Books ISBN: 1465491147 Category : Juvenile Nonfiction Languages : en Pages : 0
Book Description
An interactive guide to shapes for 5 to 8 year olds, this bright and bold lift-the-flap activity book helps children understand the properties of 2-D and 3-D shapes. Shapes are an important topic for early learners, and this visually appealing book will make it a lot of fun, too! Geometry Genius features fun geometric characters, like Fox and Lion, and lift-the-flap activities that help kids relate shapes to everyday life. Characters pose key questions, such as "What's special about a sphere?," "What is an equilateral triangle?," and "How many lines of symmetry does a hexagon have?" Children can then lift the flaps and find the answers. An interactive pop-up will also bring learning to life by encouraging kids to spot different shapes within the scene. Geometry Genius helps kids identify and describe 2-D and 3-D shapes, compare and contrast features of regular and irregular shapes, discuss the size and orientation of shapes, understand nets, identify and count lines of symmetry, and more! It gets kids thinking about shapes in their world and not just on the pages of a math book. Quiz questions and fun activities are found sprinkled throughout the book, encouraging kids to lift the flaps and find out more. Learning shapes is a highly visual topic, and this book tackles the subject in a visually appealing, fully interactive, and playful way.
Author: James Diaz Publisher: ISBN: 9781857078275 Category : Pop-up books Languages : en Pages : 0
Book Description
A visual lesson in the beauty of geometry and the complexity of simple-looking paper arts from two eminent paper engineers Shapes are central to art and in this book, James and Francesca Diaz have created seven shapes in three dimensions, and four others as flat image. The big graphic shapes are instructive and fascinating for everyone--from children to art students and collectors of pop-ups.
Author: Ernst Haeckel Publisher: National Geographic Books ISBN: 3791372319 Category : Juvenile Nonfiction Languages : en Pages : 0
Book Description
The magnificent prints of Ernst Haeckel, who captured the amazing forms of the natural world, spring to life in this exciting pop-up book that reveals the vibrant intricacy of his work. The book Art Forms in Nature is a collection of prints, made by the scientist Ernst Haeckel, of an enormous variety of flora and fauna from the sea–including microscopic Radiolaria, starfish, and jelly fish. Since Prestel published it in 1998, the book has been a favorite with artists, designers, illustrators, and anyone who enjoys the wondrous forms of the natural world. Now paper engineer Maike Biederstaedt has transformed Haeckel’s transcendent work into a three-dimensional book that allows readers to appreciate Haeckel’s vivid colors, exceptional precision, and fascination with patterns and geometry. This stunning book features seven pop-ups that allow readers to see nature’s brilliance the way that Haeckel did—as marvelous, mathematically based creations that support his theory of the unity of all living things. Certain to appeal to his huge variety of fans, this pop-up version of a timeless classic will be treasured for years to come.
Author: James Diaz Publisher: Little Simon ISBN: 9780689822247 Category : Juvenile Nonfiction Languages : en Pages : 18
Book Description
Here at last is the definitive book on how to make a pop-up. Every aspect of the creation of a pop-up, known as paper engineering, is clearly and thoroughly covered. All types of parallel folds, angle folds, wheels, and pull tabs are accurately detailed verbally and visually, flat and in dimension. Also included is a history of pop-ups and a step-by-step photographic essay on how a pop-up is made from start to finish. This guided tour is perfect for aspiring pop-up creators, paper engineers, students, and appreciators of this unique art form.
Author: Jordan Ellenberg Publisher: Penguin ISBN: 1984879065 Category : Mathematics Languages : en Pages : 481
Book Description
An instant New York Times Bestseller! “Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning.” —The New York Times From the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better about practically everything. How should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play Go, and why is learning Go so much easier for them than learning to read a sentence? Can ancient Greek proportions predict the stock market? (Sorry, no.) What should your kids learn in school if they really want to learn to think? All these are questions about geometry. For real. If you're like most people, geometry is a sterile and dimly remembered exercise you gladly left behind in the dust of ninth grade, along with your braces and active romantic interest in pop singers. If you recall any of it, it's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. The word "geometry"comes from the Greek for "measuring the world." If anything, that's an undersell. Geometry doesn't just measure the world—it explains it. Shape shows us how.
Author: Marc Frantz Publisher: Princeton University Press ISBN: 140083905X Category : Mathematics Languages : en Pages : 259
Book Description
An undergraduate textbook devoted exclusively to relationships between mathematics and art, Viewpoints is ideally suited for math-for-liberal-arts courses and mathematics courses for fine arts majors. The textbook contains a wide variety of classroom-tested activities and problems, a series of essays by contemporary artists written especially for the book, and a plethora of pedagogical and learning opportunities for instructors and students. Viewpoints focuses on two mathematical areas: perspective related to drawing man-made forms and fractal geometry related to drawing natural forms. Investigating facets of the three-dimensional world in order to understand mathematical concepts behind the art, the textbook explores art topics including comic, anamorphic, and classical art, as well as photography, while presenting such mathematical ideas as proportion, ratio, self-similarity, exponents, and logarithms. Straightforward problems and rewarding solutions empower students to make accurate, sophisticated drawings. Personal essays and short biographies by contemporary artists are interspersed between chapters and are accompanied by images of their work. These fine artists--who include mathematicians and scientists--examine how mathematics influences their art. Accessible to students of all levels, Viewpoints encourages experimentation and collaboration, and captures the essence of artistic and mathematical creation and discovery. Classroom-tested activities and problem solving Accessible problems that move beyond regular art school curriculum Multiple solutions of varying difficulty and applicability Appropriate for students of all mathematics and art levels Original and exclusive essays by contemporary artists Forthcoming: Instructor's manual (available only to teachers)
Author: David Acheson Publisher: Oxford University Press ISBN: 0192585371 Category : Mathematics Languages : en Pages : 240
Book Description
How can we be sure that Pythagoras's theorem is really true? Why is the 'angle in a semicircle' always 90 degrees? And how can tangents help determine the speed of a bullet? David Acheson takes the reader on a highly illustrated tour through the history of geometry, from ancient Greece to the present day. He emphasizes throughout elegant deduction and practical applications, and argues that geometry can offer the quickest route to the whole spirit of mathematics at its best. Along the way, we encounter the quirky and the unexpected, meet the great personalities involved, and uncover some of the loveliest surprises in mathematics.
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Author: Joseph O'Rourke
Author: Joseph O'Rourke
Author: DK
Author: James Diaz
Author: Ernst Haeckel
Author: James Diaz
Author: Courtney Watson McCarthy
Author: Jordan Ellenberg
Author: Marc Frantz
Author: David Acheson