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Six Simple Twists

The Pleat Pattern Approach to Origami Tessellation Design

Benjamin DiLeonardo-Parker

$368

Hardback

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English
CRC Press
08 September 2020
This new edition of Six Simple Twists: The Pleat Pattern Approach to Origami Tessellation Design introduces an innovative pleat pattern technique for origami designs that is easily accessible to anyone who enjoys the geometry of paper. The book begins with six basic forms meant to ease the reader into the style, and then systematically scaffolds the instructions to build a strong understanding of the techniques, leading to instructions on a limitless number of patterns. It then describes a process of designing additional building blocks. At the end, what emerges is a fascinating artform that will enrich folders for many years. Unlike standard, project-based origami books, Six Simple Twists focuses on how to design, rather than construct.

In this thoroughly updated second edition, the book explores new techniques and example tessellations, with full-page images, and mathematical analysis of the patterns. A reader will, through practice, gain the ability to create still more complex and fascinating designs.

Key Features

Introduces the reader to origami tessellations and demonstrates their place in the origami community

New layout and instructional approach restructure the book from the ground up

Addresses common tessellation questions, such as what types of paper are best to use, and how this artform rose in popularity

Teaches the reader how to grid a sheet of paper and the importance of the pre-creases

Gives the reader the ability to create and understand tessellations through scaffolded instruction

Includes exercises to test understanding

Introduces a new notation system for precisely describing pleat intersections

Analyzes pleat intersections mathematically using geometrically-focused models, including information about Brocard points

By:  
Imprint:   CRC Press
Country of Publication:   United Kingdom
Edition:   2nd edition
Dimensions:   Height: 254mm,  Width: 203mm, 
Weight:   1.097kg
ISBN:   9781138311923
ISBN 10:   1138311928
Series:   AK Peters/CRC Recreational Mathematics Series
Pages:   308
Publication Date:  
Audience:   General/trade ,  Professional and scholarly ,  ELT Advanced ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active

Born in Pittsburgh and living in Connecticut, Benjamin DiLeonardo-Parker has an active student of origami tessellations since 2007. He has taught and exhibited at origami conventions and art shows internationally, including Chi Mei Museum (Tainan City, Taiwan), La Escuela-Museo Origami de Zaragosa (Zaragosa, Spain), The Science Museum Oklahoma (Oklahoma City, OK), the Museum of Mathematics (New York, NY), the Japan Information and Culture Center (Washington D.C.), The New Britain Museum of American Art (New Britain, CT), and the Cooper Union Gallery (New York, NY). Outside of art, Ben teaches high school mathematics to students with uncommon learning styles, and incorporates origami into his classes as often as he can. Ben approaches his artwork from a holistic standpoint, preferring to view origami as an entry into the vast network of disciplines to which it is connected. This has led him to extend his knowledge of education, engineering, mathematics, CNC fabrication, paper arts, fashion, alternative photography, and other studies. When not teaching high school math, Ben operates a workshop in Essex, CT out of which he creates artwork and runs classes on origami design, He views his practice of origami as cyclical and recursive. Origami is connected to such as vast network of disciplines, each with its own siren’s call. Each flavor, each culture, cycles back onto its own basics over and over, swirling and interacting with previous knowledge, each enhancing the others in some way.

Reviews for Six Simple Twists: The Pleat Pattern Approach to Origami Tessellation Design

The second edition of Six Simple Twists is a marvelous expansion of the original; like the first edition it provides an introduction to the vast, wide world of origami twist tessellations, with a focus on those based on a hexagonal grid. Through copious and detailed photographs, he shows not just the structure, but how individual folds are actuated, and then how they may be combined in beautiful ways. An expanded selection of photographs of works by worldwide artists provides both inspiration and challenge for the budding tessellator and experienced artist alike. - Robert Lang, author of Origami Design Secrets: Mathematical Methods for an Ancient Art In this wonderfully expanded new edition, Ben Parker not only describes the basic elements composing his intricate pleated paper artworks, he also unlocks their secrets and logic and teaches their molecules and several examples in a clear format, allowing the reader to create new folded patterns, through both practical and technical approaches! - Alessandro Beber, author of Origami New Worlds This new edition of Six Simple Twists is a tremendous expansion of the first edition. Through the thorough investigation of the foundational elements of origami tessellation, Ben has laid the groundwork for understanding design and application of geometry in paper. The second edition expands and refines the insights of the first with copious illustrations and examples, clear definitions and thought provoking exercises. For anyone fascinated by the geometry of origami, or even curious about place of origami in the field of geometry, this edition is absolutely necessary. - Joel Cooper, Origami artist


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