The Geometry of Art and Life

Author: Matila Costiescu Ghyka

Publisher: Courier Corporation

ISBN: 9780486235424

Category: Mathematics

Page: 174

View: 5574

This classic study probes the geometric interrelationships between art and life in discussions ranging from dissertations by Plato, Pythagoras, and Archimedes to examples of modern architecture and art. Other topics include the Golden Section, geometrical shapes on the plane, geometrical shapes in space, crystal lattices, and other fascinating subjects. 80 plates and 64 figures.

The Geometry of Art and Life

Author: Matila Costiescu Ghyka

Publisher: Courier Corporation

ISBN: 9780486235424

Category: Art

Page: 174

View: 4056

This classic study probes the geometric interrelationships between art and life in discussions ranging from dissertations by Plato, Pythagoras, and Archimedes to examples of modern architecture and art. Other topics include the Golden Section, geometrical shapes on the plane, geometrical shapes in space, crystal lattices, and other fascinating subjects. 80 plates and 64 figures.

The Painter's Secret Geometry

A Study of Composition in Art

Author: Charles Bouleau

Publisher: Courier Corporation

ISBN: 0486795500

Category: Art

Page: 272

View: 5494

Richly illustrated examination of Western visual arts shows how great masters and modern painters employed the "golden mean" and other geometrical patterns. Cult classic and essential guide for art history students.

Art and Geometry

A Study in Space Intuitions

Author: William M. Ivins

Publisher: Courier Corporation

ISBN: 0486143589

Category: Art

Page: 128

View: 3549

This highly stimulating study observes many historical interrelationships between art and mathematics. It explores ancient and Renaissance painting and sculpture, the development of perspective, and advances in projective geometry.

Geometry and the Visual Arts

Author: Daniel Pedoe

Publisher: Courier Corporation

ISBN: 9780486244587

Category: Mathematics

Page: 296

View: 7663

This survey traces the effects of geometry on artistic achievement and clearly discusses its importance to artists and scientists. It also surveys projective geometry, mathematical curves, theories of perspective, architectural form, and concepts of space.

Connections

The Geometric Bridge Between Art and Science

Author: Jay Kappraff

Publisher: World Scientific

ISBN: 9789812811394

Category: Science

Page: 486

View: 3822

The first edition of Connections was chosen by the National Association of Publishers (USA) as the best book in OC Mathematics, Chemistry, and Astronomy OCo Professional and ReferenceOCO in 1991. It has been a comprehensive reference in design science, bringing together in a single volume material from the areas of proportion in architecture and design, tilings and patterns, polyhedra, and symmetry. The book presents both theory and practice and has more than 750 illustrations. It is suitable for research in a variety of fields and as an aid to teaching a course in the mathematics of design. It has been influential in stimulating the burgeoning interest in the relationship between mathematics and design. In the second edition there are five new sections, supplementary, as well as a new preface describing the advances in design science since the publication of the first edition. Contents: Proportion in Architecture; Similarity; The Golden Mean; Graphs; Tilings with Polygons; Two-Dimensional Networks and Lattices; Polyhedra: Platonic Solids; Transformation of the Platonic Solids I; Transformation of the Platonic Solids II; Polyhedra: Space Filling; Isometries and Mirrors; Symmetry of the Plane. Readership: Polytechnic students, architects, designers, mathematicians and general readers."

The Divine Proportion

Author: H. E. Huntley

Publisher: Courier Corporation

ISBN: 0486131874

Category: Mathematics

Page: 208

View: 5976

Discussion ranges from theories of biological growth to intervals and tones in music, Pythagorean numerology, conic sections, Pascal's triangle, the Fibonnacci series, and much more. Excellent bridge between science and art. Features 58 figures.

Geometry of Design

Studies in Proportion and Composition

Author: Kimberly Elam

Publisher: Princeton Architectural Press

ISBN: 9781568982496

Category: Design

Page: 107

View: 8281

This work takes a close look at a broad range of 20th-century examples of design, architecture and illustration, revealing underlying geometric structures in their compositions.

A Course in the Geometry of N Dimensions

Author: Maurice G. Kendall

Publisher: Courier Corporation

ISBN: 0486439275

Category: Mathematics

Page: 63

View: 8495

This text for undergraduate students provides a foundation for resolving proofs dependent on n-dimensional systems. The two-part treatment begins with simple figures in n dimensions and advances to examinations of the contents of hyperspheres, hyperellipsoids, hyperprisms, etc. The second part explores the mean in rectangular variation, the correlation coefficient in bivariate normal variation, Wishart's distribution, more. 1961 edition.

Sacred Geometry

Deciphering the Code

Author: Stephen Skinner

Publisher: Sterling Publishing Company, Inc.

ISBN: 9781402765827

Category: Mathematics

Page: 160

View: 2616

A fascinating and inspirational look at the vital link between the hidden geometrical order of the universe, geometry in nature, and the geometry of the man-made world. The Da Vinci Code has awakened the public to the powerful and very ancient idea that religious truths and mathematical principles are intimately intertwined. Sacred Geometry offers an accessible way of understanding how that connection is revealed in nature and the arts. Over the centuries, temple builders have relied on magic numbers to shape sacred spaces, astronomers have used geometry to calculate holy seasons, and philosophers have observed the harmony of the universe in the numerical properties of music. By showing how the discoveries of mathematics are manifested over and over again in biology and physics, and how they have inspired the greatest works of art, this illuminating study reveals the universal principles that link us to the infinite.

The Geometry of Wealth

How to shape a life of money and meaning

Author: Brian Portnoy

Publisher: Harriman House Limited

ISBN: 0857196723

Category: Business & Economics

Page: 232

View: 7584

How does money figure into a happy life? In The Geometry of Wealth, behavioral finance expert Brian Portnoy delivers an inspired answer, building on the critical distinction between being rich and being wealthy. While one is an unsatisfying treadmill, the other is the ability to underwrite a meaningful life, however one chooses to define that. Truly viewed, wealth is funded contentment. At the heart of this groundbreaking perspective, Portnoy takes readers on a journey toward wealth, informed by disciplines ranging from ancient history to modern neuroscience. He contends that tackling the big questions about a joyful life and tending to financial decisions are complementary, not separate, tasks. These big questions include: • How is the human brain wired for two distinct experiences of happiness? And why can money “buy” one but not the other? • What are the touchstones of a meaningful life, and are they affordable? • Why is market savvy among the least important sources of wealth but self-awareness is among the most? • How does one strike a balance between striving for more while being content with enough? This journey memorably contours along three basic shapes: A circle, triangle and square help us to visualize how we adapt to evolving circumstances, set clear priorities, and find empowerment in simplicity. In this accessible and entertaining book, Portnoy reveals that true wealth is achievable for many - including those who despair it is out of reach - but only in the context of a life in which purpose and practice are thoughtfully calibrated.

Mathematics and Art

A Cultural History

Author: Lynn Gamwell

Publisher: Princeton University Press

ISBN: 0691165289

Category: Art

Page: 576

View: 3915

This is a cultural history of mathematics and art, from antiquity to the present. Mathematicians and artists have long been on a quest to understand the physical world they see before them and the abstract objects they know by thought alone. Taking readers on a tour of the practice of mathematics and the philosophical ideas that drive the discipline, Lynn Gamwell points out the important ways mathematical concepts have been expressed by artists. Sumptuous illustrations of artworks and cogent math diagrams are featured in Gamwell’s comprehensive exploration. Gamwell begins by describing mathematics from antiquity to the Enlightenment, including Greek, Islamic, and Asian mathematics. Then focusing on modern culture, Gamwell traces mathematicians’ search for the foundations of their science, such as David Hilbert’s conception of mathematics as an arrangement of meaning-free signs, as well as artists’ search for the essence of their craft, such as Aleksandr Rodchenko’s monochrome paintings. She shows that self-reflection is inherent to the practice of both modern mathematics and art, and that this introspection points to a deep resonance between the two fields: Kurt Gödel posed questions about the nature of mathematics in the language of mathematics and Jasper Johns asked “What is art?” in the vocabulary of art. Throughout, Gamwell describes the personalities and cultural environments of a multitude of mathematicians and artists, from Gottlob Frege and Benoît Mandelbrot to Max Bill and Xu Bing. Mathematics and Art demonstrates how mathematical ideas are embodied in the visual arts and will enlighten all who are interested in the complex intellectual pursuits, personalities, and cultural settings that connect these vast disciplines.

The Hidden Geometry of Life

The Science and Spirituality of Nature

Author: Karen L. French

Publisher: Watkins Media Limited

ISBN: 178028845X

Category: Body, Mind & Spirit

Page: 240

View: 572

Encompassing nature, science, art, architecture, and spirituality, and illustrated with over 700 photographs and line drawings, "The Hidden Geometry of Life" illuminates the secret underpinnings of existence. In her trademark easy-to-understand style, mathematician Karen French shows how sacred geometry permeates every level of being, manifesting itself in simple shapes and numbers, music and sounds, light and color, even in the mysteries of creation itself. But these geometrical archetypes are more than the building blocks of reality: they are gateways to profound new levels of awareness.

Patterns in Nature

Why the Natural World Looks the Way It Does

Author: Philip Ball

Publisher: University of Chicago Press

ISBN: 022633256X

Category: Nature

Page: 288

View: 9156

Though at first glance the natural world may appear overwhelming in its diversity and complexity, there are regularities running through it, from the hexagons of a honeycomb to the spirals of a seashell and the branching veins of a leaf. Revealing the order at the foundation of the seemingly chaotic natural world, Patterns in Nature explores not only the math and science but also the beauty and artistry behind nature’s awe-inspiring designs. Unlike the patterns we create in technology, architecture, and art, natural patterns are formed spontaneously from the forces that act in the physical world. Very often the same types of pattern and form – spirals, stripes, branches, and fractals, say—recur in places that seem to have nothing in common, as when the markings of a zebra mimic the ripples in windblown sand. That’s because, as Patterns in Nature shows, at the most basic level these patterns can often be described using the same mathematical and physical principles: there is a surprising underlying unity in the kaleidoscope of the natural world. Richly illustrated with 250 color photographs and anchored by accessible and insightful chapters by esteemed science writer Philip Ball, Patterns in Nature reveals the organization at work in vast and ancient forests, powerful rivers, massing clouds, and coastlines carved out by the sea. By exploring similarities such as those between a snail shell and the swirling stars of a galaxy, or the branches of a tree and those of a river network, this spectacular visual tour conveys the wonder, beauty, and richness of natural pattern formation.

The Curves of Life

Being an Account of Spiral Formations and Their Application to Growth in Nature, to Science, and to Art : with Special Reference to the Manuscripts of Leonardo Da Vinci

Author: Sir Theodore Andrea Cook,Theodore Andrea Cook

Publisher: Courier Corporation

ISBN: 9780486237015

Category: Mathematics

Page: 479

View: 7153

The significance of the spiral in nature, art, science, and the phenomena of life and growth is probed

Squaring the Circle

Geometry in Art and Architecture

Author: Paul Calter

Publisher: John Wiley & Sons

ISBN: N.A

Category: Mathematics

Page: 554

View: 7027

Geometry is a dynamic branch of mathematics that also serves as a creative tool for engineers, artists, and architects. Squaring the Circle: Geometry in Art and Architecture includes all the topics necessary for a solid foundation in geometry and explores the timeless influence of geometry on art and architecture. The text offers wide-ranging exercise sets and related projects that allow students to practice and master the mathematics presented. Each chapter introduces mathematical concepts geometrically and illustrates their nontraditional applications in art and architecture throughout the centuries. Appropriate for both basic mathematics courses and cross-discipline courses in mathematics and art, Squaring the Circle requires no previous mathematics.

The Geometry of Love

A Novel

Author: Jessica Levine

Publisher: She Writes Press

ISBN: 1938314638

Category: Fiction

Page: 292

View: 2871

Julia, an aspiring poet, is living with her British boyfriend, Ben, a restrained Princeton professor, when she runs into Michael, a long-lost friend. A complex and compelling composer, Michael was once a catalyzing muse for her—but his return to her life is a destabilizing influence. Julia is drawn to Michael, but feels enormous guilt at the thought of betraying Ben—not to mention fear at the idea of giving up the security of her relationship with him. So, when Michael signals that he’s too wounded to make a commitment, she turns her triangular situation into a square: she sets him up with her cousin. Why is it easier for a woman to be a muse than to have one? Are security and imagination mutually exclusive? Can one be fully creative—in art or life—without the inspiration of erotic love? These are the questions asked in The Geometry of Love, a provocative and deeply psychological tale that explores the surprising choices we make in our romantic lives.

Nietzsche on Art and Life

Author: Daniel Came

Publisher: OUP Oxford

ISBN: 0191662895

Category: Philosophy

Page: 256

View: 3432

Nietzsche was not interested in the nature of art as such, or in providing an aesthetic theory of a traditional sort. For he regarded the significance of art to lie not in l'art pour l'art, but in the role that it might play in enabling us positively to 'revalue' the world and human experience. This volume brings together a number of distinguished figures in contemporary Anglo-American Nietzsche scholarship to examine his views on art and the aesthetic in the context of this wider philosophical project. All of the major themes of Nietzsche's aesthetics are discussed: art and the affirmation of life, the relationship between art and truth, music, tragedy, the nature of aesthetic experience, the role of art in Nietzsche's positive ethics, his critique of romanticism, and his ambivalent attitude towards Richard Wagner.

The Elements of Dynamic Symmetry

Author: Jay Hambidge

Publisher: Courier Corporation

ISBN: 0486140253

Category: Art

Page: 133

View: 2006

Controversial but lasting thesis that design and great art can be created by application of easily followed mathematics. 118 illustrations.

Geometry & Art

How Mathematics Transformed Art During the Renaissance

Author: David Wade

Publisher: N.A

ISBN: 9781627951050

Category: Art

Page: N.A

View: 3724

A fascinating and authoritative look at how geometry changed the world of art forever. Geometry & Art follows the artists of the Renaissance, whose search for perspective and visual depth led them to the study of geometry. Influencing the work of artists such as Paolo Uccello, Piero della Francesco, and Leonardo da Vinci, this incredible artistic breakthrough quickly spread to Germany, where a passion for polyhedral based geometrical designs flourished as a district new art in the mid-16th century. A period of enormous political and cultural change, the Renaissance empowered artists to draw upon a blossoming revival of classical art, philosophy, and culture. At the same time, a wealth of new ideas and concepts were flowing into Europe from the Islamic Middle East. And it was this flood of revolutionary new thought that would lead to the syntheses of mathematics, geometry, and art that characterises the painting, sculpture, and visual language of the Renaissance. This compelling volume uses engaging text, compelling historical accounts, and 250 beautiful illustrations to immerse readers in the fundamental Renaissance forms which, although conceived over five hundred years ago, still have the capacity to inspire us with their beauty.