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Author: Frank A. Farris
Publisher: Princeton University Press
ISBN: 1400865670
Category : Art
Languages : en
Pages : 247
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Book Description
A step-by-step illustrated introduction to the astounding mathematics of symmetry This lavishly illustrated book provides a hands-on, step-by-step introduction to the intriguing mathematics of symmetry. Instead of breaking up patterns into blocks—a sort of potato-stamp method—Frank Farris offers a completely new waveform approach that enables you to create an endless variety of rosettes, friezes, and wallpaper patterns: dazzling art images where the beauty of nature meets the precision of mathematics. Featuring more than 100 stunning color illustrations and requiring only a modest background in math, Creating Symmetry begins by addressing the enigma of a simple curve, whose curious symmetry seems unexplained by its formula. Farris describes how complex numbers unlock the mystery, and how they lead to the next steps on an engaging path to constructing waveforms. He explains how to devise waveforms for each of the 17 possible wallpaper types, and then guides you through a host of other fascinating topics in symmetry, such as color-reversing patterns, three-color patterns, polyhedral symmetry, and hyperbolic symmetry. Along the way, Farris demonstrates how to marry waveforms with photographic images to construct beautiful symmetry patterns as he gradually familiarizes you with more advanced mathematics, including group theory, functional analysis, and partial differential equations. As you progress through the book, you'll learn how to create breathtaking art images of your own. Fun, accessible, and challenging, Creating Symmetry features numerous examples and exercises throughout, as well as engaging discussions of the history behind the mathematics presented in the book.
Author: Frank A. Farris
Publisher: Princeton University Press
ISBN: 1400865670
Category : Art
Languages : en
Pages : 247
Get Book Here
Book Description
A step-by-step illustrated introduction to the astounding mathematics of symmetry This lavishly illustrated book provides a hands-on, step-by-step introduction to the intriguing mathematics of symmetry. Instead of breaking up patterns into blocks—a sort of potato-stamp method—Frank Farris offers a completely new waveform approach that enables you to create an endless variety of rosettes, friezes, and wallpaper patterns: dazzling art images where the beauty of nature meets the precision of mathematics. Featuring more than 100 stunning color illustrations and requiring only a modest background in math, Creating Symmetry begins by addressing the enigma of a simple curve, whose curious symmetry seems unexplained by its formula. Farris describes how complex numbers unlock the mystery, and how they lead to the next steps on an engaging path to constructing waveforms. He explains how to devise waveforms for each of the 17 possible wallpaper types, and then guides you through a host of other fascinating topics in symmetry, such as color-reversing patterns, three-color patterns, polyhedral symmetry, and hyperbolic symmetry. Along the way, Farris demonstrates how to marry waveforms with photographic images to construct beautiful symmetry patterns as he gradually familiarizes you with more advanced mathematics, including group theory, functional analysis, and partial differential equations. As you progress through the book, you'll learn how to create breathtaking art images of your own. Fun, accessible, and challenging, Creating Symmetry features numerous examples and exercises throughout, as well as engaging discussions of the history behind the mathematics presented in the book.
Author: Frank A. Farris
Publisher: Princeton University Press
ISBN: 0691161739
Category : Art
Languages : en
Pages : 246
Get Book Here
Book Description
A step-by-step illustrated introduction to the astounding mathematics of symmetry This lavishly illustrated book provides a hands-on, step-by-step introduction to the intriguing mathematics of symmetry. Instead of breaking up patterns into blocks—a sort of potato-stamp method—Frank Farris offers a completely new waveform approach that enables you to create an endless variety of rosettes, friezes, and wallpaper patterns: dazzling art images where the beauty of nature meets the precision of mathematics. Featuring more than 100 stunning color illustrations and requiring only a modest background in math, Creating Symmetry begins by addressing the enigma of a simple curve, whose curious symmetry seems unexplained by its formula. Farris describes how complex numbers unlock the mystery, and how they lead to the next steps on an engaging path to constructing waveforms. He explains how to devise waveforms for each of the 17 possible wallpaper types, and then guides you through a host of other fascinating topics in symmetry, such as color-reversing patterns, three-color patterns, polyhedral symmetry, and hyperbolic symmetry. Along the way, Farris demonstrates how to marry waveforms with photographic images to construct beautiful symmetry patterns as he gradually familiarizes you with more advanced mathematics, including group theory, functional analysis, and partial differential equations. As you progress through the book, you'll learn how to create breathtaking art images of your own. Fun, accessible, and challenging, Creating Symmetry features numerous examples and exercises throughout, as well as engaging discussions of the history behind the mathematics presented in the book.
Author: Jay Hambidge
Publisher:
ISBN:
Category : Art, Greek
Languages : en
Pages : 212
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Book Description
Author: xtine burrough
Publisher: Peachpit Press
ISBN: 0132104237
Category :
Languages : en
Pages : 563
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Book Description
Fuses design fundamentals and software training into one cohesive book! The only book to teach Bauhaus design principles alongside basic digital tools of Adobe's Creative Suite, including the recently released Adobe CS4 Addresses the growing trend of compressing design fundamentals and design software into the same course in universities and design trade schools. Lessons are timed to be used in 50-minute class sessions. Digital Foundations uses formal exercises of the Bauhaus to teach the Adobe Creative Suite. All students of digital design and production—whether learning in a classroom or on their own—need to understand the basic principles of design in order to implement them using current software. Far too often design is left out of books that teach software. Consequently, the design software training exercise is often a lost opportunity for visual learning. Digital Foundations reinvigorates software training by integrating Bauhaus design exercises into tutorials fusing design fundamentals and core Adobe Creative Suite methodologies. The result is a cohesive learning experience. Design topics and principles include: Composition; Symmetry and Asymmetry; Gestalt; Appropriation; The Bauhaus Basic Course Approach; Color Theory; The Grid; Scale, Hierarchy and Collage; Tonal Range; Elements of Motion. Digital Foundations is an AIGA Design Press book, published under Peachpit's New Riders imprint in partnership with AIGA, the professional association for design.
Author: Tavis Leaf Glover
Publisher: Tavis Leaf Glover
ISBN: 1733761225
Category : Art
Languages : en
Pages : 510
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Book Description
Serious visual artists can now easily understand and apply the secret geometry that masters used to create remarkable art. Superior mathematical skills aren’t required because there are hundreds of excellent step-by-step diagrams to explain everything with simplicity. Learn how the ancient and modern masters used dynamic symmetry to promote unity, movement, rhythm, and strength. These qualities, along with many others, allowed their art to have visual clarity, impact, and stand the test of time. This is an essential book for painters, photographers, sculptors, and cinematographers that hold composition and design with a high priority. For far too long, artists have been stuck with the basic tools of artistic composition, like the rule of thirds and leading lines. Unfortunately, we’re incapable of reaching the master level if all we know are the basics. Powerful tools like dynamic symmetry and other composition techniques have been kept a secret from all of us. It’s time to learn of them, push past any plateau that stands in our way, and finally unlock our true potential!
Author: Nikita Prokhorov
Publisher: New Riders
ISBN: 0133086461
Category : Computers
Languages : en
Pages : 363
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Book Description
Typography, when coupled with unbridled creativity, craftsmanship, and obsession, can take the mesmerizing form of an ambigram. Ambigrams are typographic designs that combine optical illusion, symmetry, and visual perception. The resulting word or phrase can be read in any number of orientations, viewpoints, or directions. Here is your master class in the art and craft of the ambigram! Curated by graphic and ambigram designer Nikita Prokhorov, this book offers a thorough introduction to the esoteric artistic movement made popular by Dan Brown’s novel Angels & Demons. You’ll find insightful introductions to the ambigram from an allstar panel of design judges, including Scott Kim, John Langdon, Maggie Macnab, Cheryl Savala, Jessica Hische, Stefan G. Bucher, and Scot Morris. Next comes a series of case studies that includes sketches and the thought process behind the creation of some fascinating ambigrams. Finally, the showcase section presents numerous curated artworks from ambigramists around the world. Equipped with the expert techniques and inspiring examples found in these pages, you’ll be ready to start creating your own ambigrams! Stunning showcase of ambigram artwork from around the world Insightful commentary from an all-star panel of ambigram luminaries In-depth case studies illustrating the creation of ambigrams from start to finish
Author: HowExpert
Publisher: HowExpert
ISBN:
Category : Crafts & Hobbies
Languages : en
Pages : 160
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Book Description
If you're ready to master the art of rock balancing, find inner peace, and connect with nature, HowExpert Guide to Rock Balancing is the ideal resource for you. This comprehensive guide covers everything from the basics of stone stacking to creating meaningful cairns that stand the test of time. Whether you’re a beginner or a seasoned balancer, this book will help elevate your skills and deepen your connection to the meditative practice of rock balancing. Introduction - Learn the fundamentals of stone stacking, how to find balance in nature, and the spiritual and environmental importance of rock balancing. Part 1: Perfecting Stone Stacking - Chapter 1: The Basics of Stone Stacking – Master balance, gravity, and choosing the right stones for stable stacks. - Chapter 2: Advanced Stone Stacking Techniques – Refine your skills with precision techniques, layering, and overcoming common challenges. - Chapter 3: Integrating Creativity into Stone Stacking – Balance colors, textures, and incorporate unique materials to express your creativity. Part 2: Achieving Balanced Stones - Chapter 4: The Art of Balance – Cultivate mindfulness as you experiment with both symmetrical and asymmetrical formations. - Chapter 5: Tools and Techniques for Stability – Use natural elements and advanced methods to stabilize larger stones with ease. - Chapter 6: The Physics of Rock Balancing – Understand the science behind weight distribution, friction, and engineering principles to improve your balancing. Part 3: Creating Cairns - Chapter 7: The Cultural Significance of Cairns – Explore the historical roles of cairns as trail markers, ritual symbols, and their modern environmental impact. - Chapter 8: Building and Preserving Cairns – Learn how to build durable cairns while balancing artistic expression with ethical considerations. - Chapter 9: Rock Balancing as a Cultural Dialogue – Engage with rock balancing as a universal language and a way to share stories through stones. Part 4: The Mindful Practice of Rock Balancing - Chapter 10: Rock Balancing as Meditation – Integrate rock balancing into your daily routine as a meditative practice, both solo and in groups. - Chapter 11: Connecting with Nature Through Rock Balancing – Practice eco-friendly techniques, choose meaningful locations, and document your work. - Chapter 12: The Therapeutic Benefits of Rock Balancing – Discover the mental health benefits, including stress relief and clarity, and how rock balancing can be used therapeutically. Part 5: The Future of Rock Balancing - Chapter 13: Trends and Innovations in Rock Balancing – Stay current with trends, from competitions to technological advancements and environmental activism. - Chapter 14: Rock Balancing Resources – Access valuable resources such as books, guides, and workshops to continue developing your practice. - Chapter 15: The Legacy of Rock Balancing – Reflect on the influence of rock balancing in modern art and inspire future generations to carry on this ancient practice. Conclusion - Reflect on the deep connection between balance in rock stacking and life, and join the global community dedicated to this timeless practice. Appendices - Explore a glossary of terms, recommended tools, additional resources, and notable rock balancing sites worldwide. Take your rock balancing skills to the next level with HowExpert Guide to Rock Balancing. Whether you pursue it for mindfulness, creativity, or artistic expression, this guide provides all the tools you need. Start your journey today and experience the peace, balance, and creativity that rock balancing brings to life. Grab your copy now and begin mastering the art of stone stacking! HowExpert publishes how to guides on all topics from A to Z.
Author: Claire Voisin
Publisher: American Mathematical Soc.
ISBN: 9780821819470
Category : Mathematics
Languages : en
Pages : 148
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Book Description
This is the English translation of Professor Voisin's book reflecting the discovery of the mirror symmetry phenomenon. The first chapter is devoted to the geometry of Calabi-Yau manifolds, and the second describes, as motivation, the ideas from quantum field theory that led to the discovery of mirror symmetry. The other chapters deal with more specialized aspects of the subject: the work of Candelas, de la Ossa, Greene, and Parkes, based on the fact that under the mirror symmetry hypothesis, the variation of Hodge structure of a Calabi-Yau threefold determines the Gromov-Witten invariants of its mirror; Batyrev's construction, which exhibits the mirror symmetry phenomenon between hypersurfaces of toric Fano varieties, after a combinatorial classification of the latter; the mathematical construction of the Gromov-Witten potential, and the proof of its crucial property (that it satisfies the WDVV equation), which makes it possible to construct a flat connection underlying a variation of Hodge structure in the Calabi-Yau case. The book concludes with the first "naive" Givental computation, which is a mysterious mathematical justification of the computation of Candelas, et al.
Author: Bee Locke
Publisher: National Geographic Books
ISBN: 1465492682
Category : Art
Languages : en
Pages : 0
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Book Description
Turn an ordinary piece of wood into a fire-burned masterpiece! If you're a crafter or an artist looking for something new and different, try pyrography. With this type of art, you use a heated instrument to burn images and words into wood. By using techniques from drawing, such as shading and stippling, you can also add depth and embellishments to your creations. It's easy to get started with pyrography--and Creative Woodburning can help you jump into this hot new craft. This book features: • An introduction to pyrography and the tools you need to get started • Expert advice on how to choose the right materials and how to create a safe working environment • 20 projects, including a jewelry box, a cutting board, a wooden egg, a clock, and a gourd birdhouse • More than 180 patterns--from animal and nature designs to borders and geometric and decorative shapes • Techniques for shading, adding color, and sealing your projects The power of your pyrography imagination is just between your fingertips and Creative Woodburning can help you tap into your inspiration. Even if you've never done burning of any kind before, pyrography expert Bee Locke can show you a safe yet fun way to play with fire.
Author: Robert Fathauer
Publisher: CRC Press
ISBN: 0429589239
Category : Mathematics
Languages : en
Pages : 450
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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
