The Geometry Of Creation

Author : Robert Bork
Publisher : Routledge
ISBN 13 : 1351888978
Total Pages : 488 pages
Book Rating : 4.74/5 ( download)

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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 488 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.

Author : Layla S. Mayboudi
Publisher : Mercury Learning and Information
ISBN 13 : 168392214X
Total Pages : 300 pages
Book Rating : 4.48/5 ( download)

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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 300 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.

Author : John Oscar Lieben
Publisher : Simon and Schuster
ISBN 13 : 1620557029
Total Pages : 256 pages
Book Rating : 4.20/5 ( download)

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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 256 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.

Author : Robert Odell Bork
Publisher : Ashgate Publishing, Ltd.
ISBN 13 : 9780754660620
Total Pages : 496 pages
Book Rating : 4.21/5 ( download)

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Download or read book The Geometry of Creation written by Robert Odell Bork and published by Ashgate Publishing, Ltd.. This book was released on 2011 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a new perspective on Gothic architectural creativity. It shows, in a series of geometrical case studies, how Gothic design evolved over time, in two senses: in the hours of the draftsman's labour, and across the centuries of the late Middle Ages. In each case, a series of computer graphics show how a medieval designer could have developed his architectural concept step by step, using only basic geometrical operations. Taken together, these analyses demonstrate remarkable methodological continuity across the Gothic era, and the development of sophisticated permutations on venerable design themes.

Author : Benno Artmann
Publisher : Springer Science & Business Media
ISBN 13 : 1461214122
Total Pages : 352 pages
Book Rating : 4.20/5 ( download)

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Download or read book Euclid—The Creation of Mathematics written by Benno Artmann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Euclid presents the essential of mathematics in a manner which has set a high standard for more than 2000 years. This book, an explanation of the nature of mathematics from its most important early source, is for all lovers of mathematics with a solid background in high school geometry, whether they be students or university professors.

Author : Malcolm Stewart
Publisher : Simon and Schuster
ISBN 13 : 1644114313
Total Pages : 591 pages
Book Rating : 4.15/5 ( download)

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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.

Author : Donald B. Carroll
Publisher : A.R.E. Press (Association of Research & Enlightenment)
ISBN 13 : 9780876047361
Total Pages : 0 pages
Book Rating : 4.63/5 ( download)

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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.

Author : Robert Marshall
Publisher :
ISBN 13 : 9780646569406
Total Pages : 0 pages
Book Rating : 4.06/5 ( download)

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Download or read book Geometry of Creation written by Robert Marshall and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Michael McDaniel
Publisher : Universal-Publishers
ISBN 13 : 1627340289
Total Pages : 150 pages
Book Rating : 4.81/5 ( download)

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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 150 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.

Author : Mark Amaru Pinkham
Publisher : Heartlight Fellowship
ISBN 13 : 9781643704739
Total Pages : 142 pages
Book Rating : 4.37/5 ( download)

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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.