Twists, Tilings, and Tessellations

Author: Robert J. Lang
Publisher: CRC Press
ISBN: 148226241X
Category : Mathematics
Languages : en
Pages : 716

Book Description
Twists, Tilings, and Tessellation describes the underlying principles and mathematics of the broad and exciting field of abstract and mathematical origami, most notably the field of origami tessellations. It contains folding instructions, underlying principles, mathematical concepts, and many beautiful photos of the latest work in this fast-expanding field.

Twists, Tilings, and Tessellations

Author: Robert J. Lang
Publisher: CRC Press
ISBN: 1439873585
Category : Mathematics
Languages : en
Pages : 756

Origami Tessellations

Author: Eric Gjerde
Publisher: CRC Press
ISBN: 1000713156
Category : Mathematics
Languages : en
Pages : 256

Book Description
Eric Gjerde demonstrates 25 of his favorite tessellations and turns them into projects for newcomers as well as experienced origamists. With step-by-step instructions, illustrated crease patterns, and how-to photos, you'll learn to create these wonderful designs yourself. Eric's first book covers the fundamentals of origami tessellations, provides history, and describes simple beginning techniques with detailed illustrations and photographs. An extensive gallery showcases tessellations folded by the world's leading origami fine artists---inspiring you to experiment, innovate, and eventually create your own unique designs.

Twist and Tess

Author: Miguel A. Gañan
Publisher:
ISBN: 9780578774312
Category : Crafts & Hobbies
Languages : en
Pages : 230

Book Description
With a prologue by Tomoko Fuse, the worldwide renowned Japanese origami master, the book contains 26 of my favourite tessellations, along other designs derived from those models (3 boxes and 2 "omiyage/tato). The book starts with an introduction to the origins and history of tessellations and describes the techniques and materials needed by those who want to begin with this kind of origami. The models are sorted based on the twists used in each one and include suggestions based on my own folding experience. For each model, a CP (crease pattern) is included, along with step by step instructions to fold it. Those instructions contain diagrams and their related text. At the end of each model you can see the picture of the finished model (usually in the extended version). Scattered between the different models, the reader can see the original hand drawn diagrams by Alejandra Zapico, that were the base of the final computer drawn diagrams. At the end of the book, there are several appendices, such as a small english-spanish origami dictionary, the symbol guide for those used in the book and several references related to tessellations.

Origametry

Author: Thomas C. Hull
Publisher: Cambridge University Press
ISBN: 1108478727
Category : Art
Languages : en
Pages : 343

Book Description
Written by a world expert on the subject, Origametry is the first complete reference on the mathematics of origami. It is an essential reference for researchers of origami mathematics and applications in physics, engineering, and design. Educators, students, and enthusiasts will also enjoy this fascinating account of the mathematics of folding.

Tessellations

Author: Robert Fathauer
Publisher: CRC Press
ISBN: 0429589239
Category : Mathematics
Languages : en
Pages : 450

Book Description
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

Origami Design Secrets

Author: Robert J. Lang
Publisher: CRC Press
ISBN: 1568817002
Category : Mathematics
Languages : en
Pages : 591

Book Description
Robert J. Lang, one of the worlds foremost origami artists and scientists, presents the never-before-described mathematical and geometric principles that allow anyone to design original origami, something once restricted to an elite few. From the theoretical underpinnings to detailed step-by-step folding sequences, this book takes a modern look at

Curved-Folding Origami Design

Author: Jun Mitani
Publisher: CRC Press
ISBN: 0429607938
Category : Mathematics
Languages : en
Pages : 123

Book Description
The origami introduced in this book is based on simple techniques. Some were previously known by origami artists and some were discovered by the author. Curved-Folding Origami Design shows a way to explore new area of origami composed of curved folds. Each technique is introduced in a step-by-step fashion, followed by some beautiful artwork examples. A commentary explaining the theory behind the technique is placed at the end of each chapter. Features Explains the techniques for designing curved-folding origami in seven chapters Contains many illustrations and photos (over 140 figures), with simple instructions Contains photos of 24 beautiful origami artworks, as well as their crease patterns Some basic theories behind the techniques are introduced

Origami 5

Author: Patsy Wang-Iverson
Publisher: CRC Press
ISBN: 143987350X
Category : Mathematics
Languages : en
Pages : 662

Book Description
Origami5 continues in the excellent tradition of its four previous incarnations, documenting work presented at an extraordinary series of meetings that explored the connections between origami, mathematics, science, technology, education, and other academic fields.The fifth such meeting, 5OSME (July 13-17, 2010, Singapore Management University) fol

Twisted Together

Author: Pepper Winters
Publisher: Pepper Winters
ISBN:
Category : Fiction
Languages : en
Pages : 671

Book Description
The highly anticipated conclusion to the Monsters in the Dark series, complete at 175,000 words. “After battling through hell, I brought my esclave back from the brink of ruin. I sacrificed everything—my heart, my mind, my very desires to bring her back to life. And for a while, I thought it broke me, that I’d never be the same. But slowly the beast is growing bolder, and it’s finally time to show Tess how beautiful the dark can be.” Q gave everything to bring Tess back. In return, he expects nothing less. Tess may have leashed and tamed him, but he’s still a monster inside. ** After surviving the darkness, a new dawn has begun. Twisted Together wades through black to grey, chasing the light of true love to banish the shadows forever. Pain is a requirement, connection a necessity. But ultimately Q and Tess must face their demons, before they can embrace their future. **