The Geometry Of Creation

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The Geometry of Creation

Author : Robert Bork
Publisher : Routledge
Page : 488 pages
File Size : 40,6 Mb
Release : 2016-12-05
Category : History
ISBN : 9781351888974

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The Geometry of Creation by Robert Bork Pdf

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
Page : 256 pages
File Size : 43,7 Mb
Release : 2018-08-28
Category : Body, Mind & Spirit
ISBN : 9781620557020

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Sacred Geometry for Artists, Dreamers, and Philosophers by John Oscar Lieben Pdf

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
Page : 300 pages
File Size : 42,8 Mb
Release : 2019-09-20
Category : Technology & Engineering
ISBN : 9781683922148

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Geometry Creation and Import With COMSOL Multiphysics by Layla S. Mayboudi Pdf

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 Book of History, Meanings and How to Create Them

Author : Debbie Brewer
Publisher : Lulu.com
Page : 150 pages
File Size : 50,6 Mb
Release : 2019-02-12
Category : Geometry
ISBN : 9780244758868

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

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
Page : 142 pages
File Size : 40,6 Mb
Release : 2018-08-08
Category : Philosophy
ISBN : 1643704737

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Sacred Geometry and the Creation of the Universe by Mark Amaru Pinkham Pdf

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

Geometry by Construction

Author : Michael McDaniel
Publisher : Universal-Publishers
Page : 150 pages
File Size : 52,5 Mb
Release : 2015-02-05
Category : Geometrical constructions
ISBN : 9781627340281

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Geometry by Construction by Michael McDaniel Pdf

"'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.

Sacred Geometry

Author : Stephen Skinner
Publisher : Sterling Publishing Company, Inc.
Page : 164 pages
File Size : 44,7 Mb
Release : 2009
Category : Mathematics
ISBN : 1402765827

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Sacred Geometry by Stephen Skinner Pdf

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.

Euclid—The Creation of Mathematics

Author : Benno Artmann
Publisher : Springer Science & Business Media
Page : 352 pages
File Size : 41,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461214120

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Euclid—The Creation of Mathematics by Benno Artmann Pdf

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.

The Geometry of Art and Life

Author : Matila Costiescu Ghyka
Publisher : Courier Corporation
Page : 212 pages
File Size : 48,6 Mb
Release : 1977-01-01
Category : Mathematics
ISBN : 0486235424

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The Geometry of Art and Life by Matila Costiescu Ghyka Pdf

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.

Sacred Geometry: Language of the Angels

Author : Richard Heath
Publisher : Simon and Schuster
Page : 465 pages
File Size : 45,5 Mb
Release : 2020-10-20
Category : Body, Mind & Spirit
ISBN : 9781644111192

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Sacred Geometry: Language of the Angels by Richard Heath Pdf

Reveals how the number science found in ancient sacred monuments reflects wisdom transmitted from the angelic orders • Explains how the angels transmitted megalithic science to early humans to further our conscious development • Decodes the angelic science hidden in a wide range of monuments, including Carnac in Brittany, the Great Pyramid in Egypt, early Christian pavements, the Hagia Sophia in Istanbul, Stonehenge in England, and the Kaaba in Mecca • Explores how the number science behind ancient monuments gave rise to religions and spiritual practices The angelic mind is founded on a deep understanding of number and the patterns they produce. These patterns provided a constructive framework for all manifested life on Earth. The beauty and elegance we see in sacred geometry and in structures built according to those proportions are the language of the angels still speaking to us. Examining the angelic science of number first manifested on Earth in the Stone Age, Richard Heath reveals how the resulting development of human consciousness was no accident: just as the angels helped create the Earth’s environment, humans were then evolved to make the planet self-aware. To develop human minds, the angels transmitted their own wisdom to humanity through a numerical astronomy that counted planetary and lunar time periods. Heath explores how this early humanity developed an expert understanding of sacred number through astronomical geometries, leading to the unified range of measures employed in their observatories and later in cosmological monuments such as the Giza Pyramids and Stonehenge. The ancient Near East transformed megalithic science into our own mathematics of notational arithmetic and trigonometry, further developing the human mind within the early civilizations. Heath decodes the angelic science hidden within a wide range of monuments and sites, including Carnac in Brittany, the Great Pyramid in Egypt, Teotihuacan in Mexico, early Christian pavements, the Hagia Sophia in Istanbul, and the Kaaba in Mecca. Exploring the techniques used to design these monuments, he explains how the number science behind them gave rise to ancient religions and spiritual practices. He also explores the importance of lunar astronomy, first in defining a world suitable for life and then in providing a subject accessible to pre-arithmetic humans, for whom the Moon was a constant companion.

Creative Drawing: Symbols and Sacred Geometry

Author : Ana Victoria Calderon
Publisher : Art for Modern Makers
Page : 144 pages
File Size : 54,8 Mb
Release : 2022-06-14
Category : Art
ISBN : 9780760374535

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Creative Drawing: Symbols and Sacred Geometry by Ana Victoria Calderon Pdf

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 Topkapi Scroll

Author : Gülru Necipoğlu
Publisher : Getty Publications
Page : 414 pages
File Size : 49,7 Mb
Release : 1996-03-01
Category : Art
ISBN : 9780892363353

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The Topkapi Scroll by Gülru Necipoğlu Pdf

Since precious few architectural drawings and no theoretical treatises on architecture remain from the premodern Islamic world, the Timurid pattern scroll in the collection of the Topkapi Palace Museum Library is an exceedingly rich and valuable source of information. In the course of her in-depth analysis of this scroll dating from the late fifteenth or early sixteenth century, Gülru Necipoğlu throws new light on the conceptualization, recording, and transmission of architectural design in the Islamic world between the tenth and sixteenth centuries. Her text has particularly far-reaching implications for recent discussions on vision, subjectivity, and the semiotics of abstract representation. She also compares the Islamic understanding of geometry with that found in medieval Western art, making this book particularly valuable for all historians and critics of architecture. The scroll, with its 114 individual geometric patterns for wall surfaces and vaulting, is reproduced entirely in color in this elegant, large-format volume. An extensive catalogue includes illustrations showing the underlying geometries (in the form of incised “dead” drawings) from which the individual patterns are generated. An essay by Mohammad al-Asad discusses the geometry of the muqarnas and demonstrates by means of CAD drawings how one of the scroll’s patterns could be used co design a three-dimensional vault.

Sacred Geometry of Nature

Author : Francene Hart
Publisher : Simon and Schuster
Page : 224 pages
File Size : 47,8 Mb
Release : 2017-01-13
Category : Body, Mind & Spirit
ISBN : 9781591432746

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Sacred Geometry of Nature by Francene Hart Pdf

A fully illustrated inspirational art book from visionary painter Francene Hart • Includes more than 80 full-color reproductions of Hart’s intricate watercolor paintings and the stories behind them • Recounts the evolution of her art and her discovery of the hidden order of Nature that led to her masterful artistic integrations of Nature, Spirit, and Sacred Geometry • Explores how to tap into the energies provided by spirit guides and power animals, like Jaguar, Raven, Octopus, and Dolphin, and harness the intelligence of the heart for creative inspiration and vision Every one of us possesses the potential to receive visionary experiences and integrate them into our lives. Artists become visionaries by cultivating their instinctive creative spark and sharing their profound visions with the world. In this lavishly illustrated memoir, including more than 80 full-color reproductions of her intricate watercolor paintings and the stories behind them, Francene Hart recounts the evolution of her art from formative influences to her masterful integrations of Nature, Spirit, and Sacred Geometry. Opening with her early work on mandalas and her explorations of the work of Joseph Campbell and C. G. Jung, Hart explains how her first works of art were in response to the solitary life she led in the forest, where she discovered the hidden order of Nature. She reveals how she learned to center her artistic explorations on the intelligence of the heart rather than the intellect, utilizing the wisdom and imagery of Sacred Geometry, reverence for the natural environment, and the interconnectedness between all things as her inspirations. She describes the shamanic lessons that accompanied her discoveries and shaped her understanding of sacred relationships with the self, others, and Mother Earth. She explores how to tap into the energies provided by spirit guides and power animals, like Jaguar, Raven, Octopus, and Dolphin, and explains her profound affinity for the ocean, including her discovery of water consciousness in Hawaii. Offering chronicles of her inspiring travels and transformational encounters around the world, Hart shares her experiences at sacred sites in the Amazon, Central America, Egypt, England, Scotland, Paris, Cambodia, and the Himalayas and how these places influenced her art. Exploring what is revealed as inspiration arises, Spirit informs, and vision is transformed into art, Francene Hart’s journey offers a window into the secret order of Nature, the power of sacred symbols for evolving consciousness, and a visionary artistic path that perfectly blends the mathematical rigors of sacred geometry and the numinous.

Sacred Geometry and Spiritual Symbolism

Author : Donald B. Carroll
Publisher : A.R.E. Press (Association of Research & Enlightenment)
Page : 0 pages
File Size : 42,7 Mb
Release : 2013
Category : Body, Mind & Spirit
ISBN : 0876047363

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Sacred Geometry and Spiritual Symbolism by Donald B. Carroll Pdf

"Unifying spirit and science through geometry and symbolism"--From publisher description.

Matrix of Creation

Author : Richard Heath
Publisher : Simon and Schuster
Page : 160 pages
File Size : 47,5 Mb
Release : 2004-05-15
Category : Body, Mind & Spirit
ISBN : 9781594776021

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Matrix of Creation by Richard Heath Pdf

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.