Geometric Magic Squares

Traditional magic squares employ a chessboard-like arrangement of numbers in which the total of all rows, columns, and diagonals add up to the same number. This innovative approach by a Dutch engineer

Sudoku has become a vastly popular and even addictive game. But fans may not know that Sudoku is a recent offshoot of the venerable Magic Square, which dates back over 4,000 years to ancient China, wh

A funny, entertaining introduction to Ben Franklin and his many inventions, including the story of how he created the "magic square." A magic square is a box of nine numbers arranged so that any line

This volume contains the texts and translations of two Arabic treatises on magic squares, which are undoubtedly the most important testimonies on the early history of that science. It is divided into

Geometric string art is created by winding colorful thread around nail heads to develop wonderfully detailed and complex fractal designs. However, without the proper numbered point patterns, it can be

Heitor Bahiense shares his recent discovery of five Magic Squares encoded in the Hebrew Bible and investigates their meaning and the consequences for believers and scholars. He invites us to review ou

Spheres, rectangles, pentagons, and other geometric figures will take on a pop-art look when you follow the coloring directions — and the designs will really pop when you put on the enclosed 3-D glass

Computer graphics is a vast field that is becoming larger every day. It is impossible to cover every topic of interest, even within a specialization such as CG rendering. For many years, Noriko Kurachi has reported on the latest developments for Japanese readers in her monthly column for CG World. Being something of a pioneer herself, she selected topics that represented original and promising new directions for research. Many of these novel ideas are the topics covered in The Magic of Computer Graphics.Starting from the basic behavior of light, the first section of the book introduces the most useful techniques for global and local illumination using geometric descriptions of an environment. The second section goes on to describe image-based techniques that rely on captured data to do their magic. In the final section, the author looks at the synthesis of these two complementary approaches and what they mean for the future of computer graphics.

Squares, polygons, swirling lines, and geometrics: this remarkable resource offers 200 different tileable patterns for seamless backgrounds, wallpaper, fabrics, and more. The book also includes an ins

More than 400 original, black-and-white, attention-getting graphics that pop, recede, and shimmer. Circles, squares, ellipses, curves, lines, and angles create unique visual effects that are at times

Interactively explore 150 of the world's greatest works of art with flaps, translucent pages, wheels, and hidden gems on every page.In museums, we’re often told, “look with your eyes” at the famous paintings adorning the walls. But what if a child could follow their impulse, reach out, and touch a masterpiece? In this thrilling, interactive book, kids of all ages can do just that! Going beyond the world of sight, readers will explore art like never before—opening da Vinci’s mysterious notebook, turning Mondrian’s geometric wonder, lifting flaps, spinning wheels, peeling back translucent overlays, and much, much more! Come along on this 3-D journey and discover the secrets of the masters—their techniques, tools, and inspirations—and why these works of art are still studied, revered, and cherished to this day.Featured artists include:Georges SeuratVincent van GoghMary CassattGustav KlimtMarc ChagallGeorgia O'KeeffePablo PicassoFrida KahloAndy Warholand many, many more!

Pattern Magic is the cult pattern-making book from Japan. Taking inspiration from nature, from geometric shapes, and from the street, this book harnesses the sheer joy of making and sculpting clothes.

Quilters of all skill levels will love the geometric quilt block patterns offered in this book!Quilt Block Geometry includes rotary cutting basics followed by block instructions for 13 different quick

Undoubtedly, Mandarin Chinese is very different from many other languages. However, that does not mean that it is difficult to learn.One of the greatest challenges in learning Mandarin is mastering it

Magic squares are among the more popular mathematical recreations. Over the last 50 years, many generalizations of “magic” ideas have been applied to graphs. Recently there has been a resurgence of in

Caution: Mind boggling woodcarving projects! If you thought carving the linked chain or the ball-in-cage was a challenge, get ready for Bjarne Jespersen and his mind-altering woodcarving projects! B

The beginnings are basic ? a circle and a square. But when imagination and geometric shapes come into play, the result is a splendid gallery of 48 elaborate designs with kaleidoscopic intensity. Pages

Students will be thrilled to learn how to make Tangram puzzles through the use of basic shapes such as triangles, squares, and parallelograms. Includes a descriptive history of Tangram puzzles, in add

More than 260 high-impact, permission-free designs that exploit to their fullest the dramatic potential of squares, circles, triangles, rectangles, and other elements. Invaluable for wallpaper and tex

Over 50 safe tricks — all based on scientific principles. Grade-schoolers using common, everyday items will soon be performing such mystifying feats as making squares and lines disappear, creat

Stimulating treasury of entertaining tricks, stunts, and magical effects based on such mathematical principles and ideas as magic squares, the Fibonacci Series, Moebius strips, cycloids, topology, and

Famed puzzle expert explains math behind a multitude of mystifying tricks: card tricks, stage "mind reading," coin and match tricks, counting out games, geometric dissections, etc. Probability, sets,

In broad terms, computer graphics (CG) is the use of computers to create images. This title introduces some of the most useful techniques for global and local illumination using geometric descriptions

Get creative with this amazing geometric colouring book that gives colour and copy a modern twist. Instead of squares to colour, Geo Art enables you to colour geometric shapes to create amazing 3D pictures that look like hybrids of pixels and 3D images. A must-have for fans of colouring, fans of detailed pictures and fans of animation.The book is divided into four sections to help you build your Geo Art skills:- In section one, the geometric shapes are larger and the pictures are simpler. Some of the pictures are partially coloured, so you just have to follow the mini finished picture and fill in the colour to complete each picture. - Then in section two, the geometric shapes are smaller, and the pictures have more detail to colour.You must complete the picture with only the outline and the finished picture to help you bring your Geo Art picture to life. - Section three is more challenging but fun! There's a finished picture to follow, but no outline to help you. Each picture is hidden

This book provides a step-by-step introduction to the least squares resolution of nonlinear inverse problems. For readers interested in projection of non-convex sets, it also presents the geometric th

"Instructions for making 14 star blocks in 4 sizes using Nancy's patented method for Diamond-Freea stars from squares and rectangles. Includes 4 projects and 28 quilting designs"--Provided by publishe

Give simple quilt blocks a touch of magic - the add-a-strip way! Start with simple squares, triangles, and diamonds, then slice and insert a 1" strip of contrasting fabric to create dozens of new

Featuring a new collection of more than 125 delicious recipes, this guide to turning cake mix into culinary art covers everything from Peanut Butter Chocolate Squares and Raspberry Dream Bars to Doubl