The Geometry of Creation

The Geometry of Creation

Author: Robert Bork

Publisher: Routledge

Published: 2016-12-05

Total Pages: 488

ISBN-13: 1351888978

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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.


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 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.

Geometry Creation and Import With COMSOL Multiphysics

Geometry Creation and Import With COMSOL Multiphysics

Author: Layla S. Mayboudi

Publisher: Mercury Learning and Information

Published: 2019-09-20

Total Pages: 300

ISBN-13: 168392214X

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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.


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 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.

Sacred Geometry for Artists, Dreamers, and Philosophers

Sacred Geometry for Artists, Dreamers, and Philosophers

Author: John Oscar Lieben

Publisher: Simon and Schuster

Published: 2018-08-28

Total Pages: 256

ISBN-13: 1620557029

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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.


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 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.

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

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

Author: Debbie Brewer

Publisher: Lulu.com

Published: 2019-02-12

Total Pages: 150

ISBN-13: 0244758867

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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.


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.

Geometry by Construction

Geometry by Construction

Author: Michael McDaniel

Publisher: Universal-Publishers

Published: 2015-02-05

Total Pages: 150

ISBN-13: 1627340289

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"'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.


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 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.

The Geometry of Creation

The Geometry of Creation

Author: Robert Odell Bork

Publisher: Ashgate Publishing, Ltd.

Published: 2011

Total Pages: 496

ISBN-13: 9780754660620

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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.


Book Synopsis The Geometry of Creation by : Robert Odell Bork

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.

Euclid—The Creation of Mathematics

Euclid—The Creation of Mathematics

Author: Benno Artmann

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 352

ISBN-13: 1461214122

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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.


Book Synopsis Euclid—The Creation of Mathematics by : Benno Artmann

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.

Sacred Geometry

Sacred Geometry

Author: Stephen Skinner

Publisher: Sterling Publishing Company, Inc.

Published: 2009

Total Pages: 164

ISBN-13: 9781402765827

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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.


Book Synopsis Sacred Geometry by : Stephen Skinner

Download or read book Sacred Geometry written by Stephen Skinner and published by Sterling Publishing Company, Inc.. This book was released on 2009 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Sacred Geometry and the Creation of the Universe

Sacred Geometry and the Creation of the Universe

Author: Mark Amaru Pinkham

Publisher: Heartlight Fellowship

Published: 2018-08-08

Total Pages: 142

ISBN-13: 9781643704739

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The classic Sacred Geometrical forms are explained as representations of the successive steps in the creation of the universe.


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.

Matrix of Creation

Matrix of Creation

Author: Richard Heath

Publisher: Simon and Schuster

Published: 2004-05-15

Total Pages: 160

ISBN-13: 1594776024

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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.


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 160 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.