Geometry Of Creation

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The Geometry of Creation

Author : Robert Bork
Publisher : Routledge
ISBN 13 : 1351888978
Total Pages : 783 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis The Geometry of Creation by : Robert Bork

Download or read book The Geometry of Creation written by Robert Bork and published by Routledge. This book was released on 2016-12-05 with total page 783 pages. Available in PDF, EPUB and Kindle. Book excerpt: The flowering of Gothic architecture depended to a striking extent on the use of drawing as a tool of design. By drawing precise "blueprints" with simple tools such as the compass and straightedge, Gothic draftsmen were able to develop a linearized architecture of unprecedented complexity and sophistication. Examination of their surviving drawings can provide valuable and remarkably intimate information about the Gothic design process. Gothic drawings include compass pricks, uninked construction lines, and other telltale traces of the draftsman's geometrically based working method. The proportions of the drawings, moreover, are those actually intended by the designer, uncompromised by errors introduced in the construction process. All of these features make these drawings ideal subjects for the study of Gothic design practice, but their geometry has to date received little systematic attention. This book offers a new perspective on Gothic architectural creativity. It shows, in a series of rigorous geometrical case studies, how Gothic design evolved over time, in two senses: in the hours of the draftsman's labor, and across the centuries of the late Middle Ages. In each case study, a series of computer graphics show in unprecedented detail how a medieval designer could have developed his architectural concept step by step, using only basic geometrical operations. Taken together, these analyses demonstrate both remarkable methodological continuity across the Gothic era, and the progressive development of new and sophisticated permutations on venerable design themes. This rich tradition ultimately gave way in the Renaissance not because of any inherent problem with Gothic architecture, but because the visual language of Classicism appealed more directly to the pretensions of Humanist princes than the more abstract geometrical order of Gothic design, as the book's final chapter demonstrates.

Sacred Geometry for Artists, Dreamers, and Philosophers

Author : John Oscar Lieben
Publisher : Simon and Schuster
ISBN 13 : 1620557029
Total Pages : 538 pages
Book Rating : 4.6/5 (25 download)

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Book Synopsis Sacred Geometry for Artists, Dreamers, and Philosophers by : John Oscar Lieben

Download or read book Sacred Geometry for Artists, Dreamers, and Philosophers written by John Oscar Lieben and published by Simon and Schuster. This book was released on 2018-08-28 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: An illustrated guide to harmonics--the sacred geometry principles that underlie the natural world--and its practical applications • Demonstrates how the vesica piscis is a matrix from which ideas and forms emanate, connecting cosmic time cycles, measures of space, and musical tones • Provides harmonic analyses of ancient sculpture, architecture, the solar system, the Earth-Moon relationship, and the structure of water and waves • Explains how to apply sacred geometry to create building floor plans, pottery figures, gardens, and sacred ceremonial spaces We are in the midst of a revival of an ancient way of looking at the world--an approach that enabled great civilizations of the past to bring forth inventions of great beauty and power. This school of thought--harmonics--envisioned the natural world and the solar system as an interlocking matrix of harmonious numbers, perfectly woven into the creative fabric of life and the surrounding universe. Exploring the art and science of harmonics, John Oscar Lieben shows how to create harmonious forms using the ancient tools of number, geometry, and musical tone--an approach that resonates with nature’s own ways of creation. He demonstrates many practical applications that result from the study of harmonics, providing analyses of ancient sculpture and architecture, as well as original examples of building floor plans, pottery figures based on planetary proportions, gardens based on harmonic principles, and ceremonial spaces that honor cosmic harmonies and sacred geometric relationships. Showing how harmonics can also be applied to the mysteries of time and space, the author demonstrates how the vesica piscis and many other variations of the vesica shape reveal numerical synchronicities and correspondences that connect cosmic time cycles, measures of space, and musical tones. The author applies harmonics and the “vesica construction” matrix to illustrate many of nature’s wonders, including the Earth-Moon relationship, the interactions of the Golden Number and the musical scale, and how the Flower of Life symbol connects the universal field with the pattern of raindrops falling on a pond. Offering an approach to sacred geometry that pairs the mystical with the practical, the cosmic with the earthly, the author reveals how the art and science of harmonics should be required study for both the artist and the seeker of eternal truths as well as the scientist who seeks an entrance into the sacred foundations of nature.

Geometry Creation and Import With COMSOL Multiphysics

Author : Layla S. Mayboudi
Publisher : Mercury Learning and Information
ISBN 13 : 168392214X
Total Pages : 284 pages
Book Rating : 4.6/5 (839 download)

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Book Synopsis Geometry Creation and Import With COMSOL Multiphysics by : Layla S. Mayboudi

Download or read book Geometry Creation and Import With COMSOL Multiphysics written by Layla S. Mayboudi and published by Mercury Learning and Information. This book was released on 2019-09-20 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the geometry creation techniques for use in finite element analysis. Examples are provided as a sequence of fin designs with progressively increasing complexity. A fin was selected as it is a feature widely employed for thermal management. As the content progresses, the reader learns to create or import a geometry into a FEM tool using COMSOL Multiphysics®. The fundamentals may also be applied to other commercial packages such as ANSYS® or AbaqusTM. The content can be utilized in a variety of engineering disciplines including mechanical, aerospace, biomedical, chemical, civil, and electrical. The book provides an overview of the tools available to create and interact with the geometry. It also takes a broader look on the world of geometry, showing how geometry is a fundamental part of nature and how it is interconnected with the world around us. Features: Includes example models that enable the reader to implement conceptual material in practical scenarios with broad industrial applications Provides geometry modeling examples created with built in features of COMSOL Multiphysics® v. 5.4 or imported from other dedicated CAD tools Presents meshing examples and provides practical advice on mesh generation Includes companion files with models and custom applications created with COMSOL Multiphysics® Application Builder.

Geometry by Construction

Author : Michael McDaniel
Publisher : Universal-Publishers
ISBN 13 : 1627340289
Total Pages : 149 pages
Book Rating : 4.6/5 (273 download)

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Book Synopsis Geometry by Construction by : Michael McDaniel

Download or read book Geometry by Construction written by Michael McDaniel and published by Universal-Publishers. This book was released on 2015-02-05 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: "'Geometry by construction' challenges its readers to participate in the creation of mathematics. The questions span the spectrum from easy to newly published research and so are appropriate for a variety of students and teachers. From differentiation in a high school course through college classes and into summer research, any interested geometer will find compelling material"--Back cover.

Matrix of Creation

Author : Richard Heath
Publisher : Simon and Schuster
ISBN 13 : 1594776024
Total Pages : 172 pages
Book Rating : 4.5/5 (947 download)

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Book Synopsis Matrix of Creation by : Richard Heath

Download or read book Matrix of Creation written by Richard Heath and published by Simon and Schuster. This book was released on 2004-05-15 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reveals the ancient mathematical principles refuting the notion of the solar system as an accidental creation • Reveals how ancient civilizations encoded their secret knowledge of the sky in mythology, music, and sacred measures • Shows how modern culture can benefit from the ancient astronomical and astrological worldview based on number • Shows the role of ratio and harmonic proportions in the creation of the material world Humanity’s understanding of number was deeper and richer when the concept of creation was rooted in direct experience. But modern sensibility favors knowledge based exclusively on physical laws. We have forgotten what our ancestors once knew: that numbers and their properties create the forms of the world. Ancient units of measurement held within them the secrets of cosmic proportion and alignment that are hidden by the arbitrary decimal units of modern mathematical thinking. Sacred numbers arose from ancient man’s observations of the heavens. Just as base ten numbers relate to the fingers and toes in terms of counting, each celestial period divides into the others like fingers revealing the base numbers of planetary creation. This ancient system made the art of counting a sacramental art, its units being given spiritual meanings beyond just measurement. The imperial yard, for example, retains a direct relationship to the Equator, the length of a day and a year, and the angular values of Earth, Moon, and Jupiter. The ancients encoded their secret knowledge of the skies within mythology, music, monuments, and units of sacred measurement. They understood that the ripeness of the natural world is the perfection of ratio and realized that the planetary environment--and time itself--is a creation of number.

Sacred Geometry and Spiritual Symbolism

Author : Donald B. Carroll
Publisher : A.R.E. Press (Association of Research & Enlightenment)
ISBN 13 : 9780876047361
Total Pages : 0 pages
Book Rating : 4.0/5 (473 download)

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Book Synopsis Sacred Geometry and Spiritual Symbolism by : Donald B. Carroll

Download or read book Sacred Geometry and Spiritual Symbolism written by Donald B. Carroll and published by A.R.E. Press (Association of Research & Enlightenment). This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Unifying spirit and science through geometry and symbolism"--From publisher description.

Sacred Geometry Book of History, Meanings and How to Create Them

Author : Debbie Brewer
Publisher : Lulu.com
ISBN 13 : 0244758867
Total Pages : 150 pages
Book Rating : 4.2/5 (447 download)

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Book Synopsis Sacred Geometry Book of History, Meanings and How to Create Them by : Debbie Brewer

Download or read book Sacred Geometry Book of History, Meanings and How to Create Them written by Debbie Brewer and published by Lulu.com. This book was released on 2019-02-12 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why is it that we are so drawn to and enticed by sacred geometry? They start with simple mathematical shapes, that combine to create elaborate illustrations of such beauty and elegance that we marvel at them. Beliefs, religious, spiritual and cultural, have been historically attached to them. The specific design and creation of each individual sacred geometric pattern is thought, among many cultures, not only to demonstrate an understanding of specific universal concepts, but to hold powers of mystical possibilities. The aim of this book is to provide an understanding of the history, creation and meanings of sacred geometry for those who are new to the subject, and to open an insight into the beliefs placed upon them with the hope that it will inspire the reader's interest and imagination and increase their enthusiasm. Enjoy learning how such simple shapes can evolve into inspiring and powerful patterns that weave through the fabric of our entire universe and reality.

Sacred Geometry and the Creation of the Universe

Author : Mark Amaru Pinkham
Publisher : Heartlight Fellowship
ISBN 13 : 9781643704739
Total Pages : 142 pages
Book Rating : 4.7/5 (47 download)

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Book Synopsis Sacred Geometry and the Creation of the Universe by : Mark Amaru Pinkham

Download or read book Sacred Geometry and the Creation of the Universe written by Mark Amaru Pinkham and published by Heartlight Fellowship. This book was released on 2018-08-08 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classic Sacred Geometrical forms are explained as representations of the successive steps in the creation of the universe.

Sacred Geometry of the Starcut Diagram

Author : Malcolm Stewart
Publisher : Simon and Schuster
ISBN 13 : 1644114313
Total Pages : 591 pages
Book Rating : 4.6/5 (441 download)

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Book Synopsis Sacred Geometry of the Starcut Diagram by : Malcolm Stewart

Download or read book Sacred Geometry of the Starcut Diagram written by Malcolm Stewart and published by Simon and Schuster. This book was released on 2022-09-27 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: • Lavishly illustrated with hundreds of detailed diagrams and technical illustrations exploring the evolution and importance of the starcut diagram • Shows how the starcut diagram underlies the shaman’s dance in China, the Vedic Fire Altar in India, Raphael frescoes, labyrinth designs, the Great Pyramid in Egypt, and the building of ancient cities • Explains how the starcut diagram was used in building and design, how it relates to Pythagoras’s Tetrakys, and how it contains knowledge of the Tree of Life As Malcolm Stewart reveals in this lavishly illustrated study, the simplesquare figure of the Starcut diagram, created only with circles, has extraordinary geometric properties. It allows you to make mathematically exact measurements and build perfectly true level structures without a computer, calculator, slide rule, plumb bob, or laser level. Sharing his extensive research, along with hundreds of detailed diagrams and technical illustrations, the author shows how the Starcut diagram was the key to the building of humanity’s first cities and how it underlies many significant patterns and proportions around the world. Using circles drawn from the vesica piscis, Stewart explains how to create the Starcut diagram and shows how this shape was at the foundation of ancient building and design, illustrating the numerous connections between the diagram and the creation of mandalas and yantras, stained glass windows, architectural ground plans, temples and other sacred buildings, and surveying methods. He also shows how the Starcut diagram reveals ancient geometric knowledge of pi, the Fibonacci sequence, Pythagorean shapes and seals, the golden ratio, the power of 108 and other sacred numbers, and magic squares. Exploring the Starcut diagram’s cosmological and theological implications, Stewart explains how it contains knowledge of the Tree of Life and the Kabbalah. He examines how it relates to the Tetraktys, the key teaching device of Pythagoras, and other cosmograms. Demonstrating the ancient relationships existing between number, geometry, cosmology, and musical harmony, the author shows how the simple shape of the Starcut diagram unifies the many threads of sacred geometry into one beautiful mathematical tapestry.

The Hidden Geometry of Flowers

Author : Keith Critchlow
Publisher :
ISBN 13 : 9780863158063
Total Pages : 446 pages
Book Rating : 4.1/5 (58 download)

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Book Synopsis The Hidden Geometry of Flowers by : Keith Critchlow

Download or read book The Hidden Geometry of Flowers written by Keith Critchlow and published by . This book was released on 2011 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: A beautiful and original book from a renowned thinker and geometrist

Geometry

Author : Harold R. Jacobs
Publisher : Macmillan
ISBN 13 : 9780716743613
Total Pages : 802 pages
Book Rating : 4.7/5 (436 download)

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Book Synopsis Geometry by : Harold R. Jacobs

Download or read book Geometry written by Harold R. Jacobs and published by Macmillan. This book was released on 2003-03-14 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt: Harold Jacobs’s Geometry created a revolution in the approach to teaching this subject, one that gave rise to many ideas now seen in the NCTM Standards. Since its publication nearly one million students have used this legendary text. Suitable for either classroom use or self-paced study, it uses innovative discussions, cartoons, anecdotes, examples, and exercises that unfailingly capture and hold student interest. This edition is the Jacobs for a new generation. It has all the features that have kept the text in class by itself for nearly 3 decades, all in a thoroughly revised, full-color presentation that shows today’s students how fun geometry can be. The text remains proof-based although the presentation is in the less formal paragraph format. The approach focuses on guided discovery to help students develop geometric intuition.

Viewpoints

Author : Marc Frantz
Publisher : Princeton University Press
ISBN 13 : 140083905X
Total Pages : 259 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Viewpoints by : Marc Frantz

Download or read book Viewpoints written by Marc Frantz and published by Princeton University Press. This book was released on 2011-07-05 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: An undergraduate textbook devoted exclusively to relationships between mathematics and art, Viewpoints is ideally suited for math-for-liberal-arts courses and mathematics courses for fine arts majors. The textbook contains a wide variety of classroom-tested activities and problems, a series of essays by contemporary artists written especially for the book, and a plethora of pedagogical and learning opportunities for instructors and students. Viewpoints focuses on two mathematical areas: perspective related to drawing man-made forms and fractal geometry related to drawing natural forms. Investigating facets of the three-dimensional world in order to understand mathematical concepts behind the art, the textbook explores art topics including comic, anamorphic, and classical art, as well as photography, while presenting such mathematical ideas as proportion, ratio, self-similarity, exponents, and logarithms. Straightforward problems and rewarding solutions empower students to make accurate, sophisticated drawings. Personal essays and short biographies by contemporary artists are interspersed between chapters and are accompanied by images of their work. These fine artists--who include mathematicians and scientists--examine how mathematics influences their art. Accessible to students of all levels, Viewpoints encourages experimentation and collaboration, and captures the essence of artistic and mathematical creation and discovery. Classroom-tested activities and problem solving Accessible problems that move beyond regular art school curriculum Multiple solutions of varying difficulty and applicability Appropriate for students of all mathematics and art levels Original and exclusive essays by contemporary artists Forthcoming: Instructor's manual (available only to teachers)

Sacred Geometry

Author : Miranda Lundy
Publisher : Bloomsbury Publishing USA
ISBN 13 : 0802713823
Total Pages : 68 pages
Book Rating : 4.8/5 (27 download)

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Book Synopsis Sacred Geometry by : Miranda Lundy

Download or read book Sacred Geometry written by Miranda Lundy and published by Bloomsbury Publishing USA. This book was released on 2001-04-01 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published: Presteigne, Powys, Wales: Wooden Books Ltd., 1998.

Is God a Mathematician?

Author : Mario Livio
Publisher : Simon and Schuster
ISBN 13 : 1416594434
Total Pages : 320 pages
Book Rating : 4.4/5 (165 download)

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Book Synopsis Is God a Mathematician? by : Mario Livio

Download or read book Is God a Mathematician? written by Mario Livio and published by Simon and Schuster. This book was released on 2011-02-22 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bestselling author and astrophysicist Mario Livio examines the lives and theories of history’s greatest mathematicians to ask how—if mathematics is an abstract construction of the human mind—it can so perfectly explain the physical world. Nobel Laureate Eugene Wigner once wondered about “the unreasonable effectiveness of mathematics” in the formulation of the laws of nature. Is God a Mathematician? investigates why mathematics is as powerful as it is. From ancient times to the present, scientists and philosophers have marveled at how such a seemingly abstract discipline could so perfectly explain the natural world. More than that—mathematics has often made predictions, for example, about subatomic particles or cosmic phenomena that were unknown at the time, but later were proven to be true. Is mathematics ultimately invented or discovered? If, as Einstein insisted, mathematics is “a product of human thought that is independent of experience,” how can it so accurately describe and even predict the world around us? Physicist and author Mario Livio brilliantly explores mathematical ideas from Pythagoras to the present day as he shows us how intriguing questions and ingenious answers have led to ever deeper insights into our world. This fascinating book will interest anyone curious about the human mind, the scientific world, and the relationship between them.

The Hidden Geometry of Life: The Science and Spirituality of Nature

Author : Karen L. French
Publisher : Duncan Baird Publishers
ISBN 13 : 178028845X
Total Pages : 239 pages
Book Rating : 4.7/5 (82 download)

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Book Synopsis The Hidden Geometry of Life: The Science and Spirituality of Nature by : Karen L. French

Download or read book The Hidden Geometry of Life: The Science and Spirituality of Nature written by Karen L. French and published by Duncan Baird Publishers. This book was released on 2014-05-10 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Creative Drawing: Symbols and Sacred Geometry

Author : Ana Victoria Calderon
Publisher : Art for Modern Makers
ISBN 13 : 0760374538
Total Pages : 144 pages
Book Rating : 4.7/5 (63 download)

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Book Synopsis Creative Drawing: Symbols and Sacred Geometry by : Ana Victoria Calderon

Download or read book Creative Drawing: Symbols and Sacred Geometry written by Ana Victoria Calderon and published by Art for Modern Makers. This book was released on 2022-06-14 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: The latest title in the Art for Modern Makers series, Creative Drawing: Symbols and Sacred Geometry takes readers on an inspired journey that explores the beautiful imagery and fascinating themes of sacred geometry while demonstrating compass drawing and exploring colored pencils, watercolor, inks, and other mediums.

The Geometry of an Art

Author : Kirsti Andersen
Publisher : Springer Science & Business Media
ISBN 13 : 0387489460
Total Pages : 837 pages
Book Rating : 4.3/5 (874 download)

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Book Synopsis The Geometry of an Art by : Kirsti Andersen

Download or read book The Geometry of an Art written by Kirsti Andersen and published by Springer Science & Business Media. This book was released on 2008-11-23 with total page 837 pages. Available in PDF, EPUB and Kindle. Book excerpt: This review of literature on perspective constructions from the Renaissance through the 18th century covers 175 authors, emphasizing Peiro della Francesca, Guidobaldo del Monte, Simon Stevin, Brook Taylor, and Johann Heinrich. It treats such topics as the various methods of constructing perspective, the development of theories underlying the constructions, and the communication between mathematicians and artisans in these developments.