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Crafting Conundrums: Puzzles and Patterns for the Bead Crochet Artist

✍ Scribed by Frank L Lewis


Publisher
Springer, A K Peters/CRC Press, CRC Press
Year
2014
Tongue
English
Leaves
287
Series
Communications and control engineering
Edition
1
Category
Library

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✦ Synopsis


Designed for crafters, puzzle lovers, and pattern designers alike, Crafting Conundrums: Puzzles and Patterns for the Bead Crochet Artist provides methods, challenges, and patterns that offer a springboard for creative exploration. All are illustrated with beautiful color diagrams and photographs. Experienced bead crochet crafters looking for a project may choose to skip ahead to the pattern pages and begin crocheting from an abundance of unique, mathematically inspired designs. Those wishing to design their own patterns will find many useful tools, template patterns, and a new methodology for understanding how to do so even without using math. Puzzle lovers without previous knowledge of bead crochet will also find ample inspiration for learning the craft.

The first part of the book describes the basic requirements and constraints of a bead crochet pattern and explains what makes designing in this medium so tricky. The authors present their new design framework and offer insight on how best to approach design choices and issues unique to bead crochet.

The second part presents a series of bead crochet design challenges informed by colorful bits of mathematics, including topology, graph theory, knot theory, tessellations, and wallpaper groups. Each chapter in this section begins with a design puzzle accompanied by an introduction to the mathematical idea that inspired it. The authors then discuss what made the challenge difficult, present some of their solutions, and describe the thinking and ideas behind their approach.

The final part contains nearly 100 original bead crochet patterns, including solutions to all the design challenges. This part also provides a tutorial on the fundamentals of bead crochet technique.

Behind the deceptively simple and uniform arrangement of beads is a subtle geometry that produces compelling design challenges and fascinating mathematical structures. In color throughout, Crafting Conundrums gives both math enthusiasts and crafters an innovative approach to creating bead crochet patterns while addressing a variety of mathematically inspired design questions. Supplementary materials, including demo videos, are available on the book’s CRC Press web page.

✦ Table of Contents



Content: Introduction to Synchronization in Nature and Physics and Cooperative Control for Multi-agent Systems on Graphs --
Algebraic Graph Theory and Cooperative Control Consensus --
Part I. Distributed Optimal Design for Cooperative Control in Multi-agent Systems on Graphs --
Local Optimal Design for Cooperative Control in Multi-agent Systems on Graphs --
Riccati Design for Synchronization of Discrete-Time Systems --
Cooperative Globally Optimal Control for Multi-agent Systems on Directed Graph Topologies --
Graphical Games: Distributed Multi-player Games on Graphs --
Part II. Distributed Adaptive Control for Multi-agent Cooperative Systems --
Graph Laplacian Potential and Lyapunov Functions for Multi-agent Systems --
Cooperative Adaptive Control for Systems with First-Order Nonlinear Dynamics --
Cooperative Adaptive Control for Systems with Second-Order Nonlinear Dynamics --
Cooperative Adaptive Control for Higher-Order Nonlinear Systems.
Abstract:

Cooperative Control of Multi-Agent Systems Read more...


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