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Author: Robert Odell Bork Publisher: Ashgate Publishing, Ltd. ISBN: 9780754660620 Category : Architecture Languages : en Pages : 496
Book Description
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: Robert Odell Bork Publisher: Ashgate Publishing, Ltd. ISBN: 9780754660620 Category : Architecture Languages : en Pages : 496
Book Description
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: Layla S. Mayboudi Publisher: Mercury Learning and Information ISBN: 168392214X Category : Technology & Engineering Languages : en Pages : 300
Book Description
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: 1620557029 Category : Body, Mind & Spirit Languages : en Pages : 256
Book Description
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: Benno Artmann Publisher: Springer Science & Business Media ISBN: 1461214122 Category : Mathematics Languages : en Pages : 352
Book Description
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: Michael McDaniel Publisher: Universal-Publishers ISBN: 1627340289 Category : Education Languages : en Pages : 149
Book Description
"'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: Debbie Brewer Publisher: Lulu.com ISBN: 0244758867 Category : Geometry Languages : en Pages : 150
Book Description
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.
Author: Donald B. Carroll Publisher: A.R.E. Press (Association of Research & Enlightenment) ISBN: 9780876047361 Category : Body, Mind & Spirit Languages : en Pages : 0
Book Description
"Unifying spirit and science through geometry and symbolism"--From publisher description.
Author: John Michell Publisher: Inner Traditions ISBN: 9781594774775 Category : Body, Mind & Spirit Languages : en Pages : 288
Book Description
Understanding the role of sacred geometry in cosmology and human affairs • Explains how ancient societies that grasped the timeless principles of sacred geometry were able to create flourishing societies • Illustrates the social and spiritual values in the natural progression of number • Contains more than 300 full-color drawings showing the interplay of number and sacred geometry Galileo described the universe as a large book written in the language of mathematics, which can only be read by those with knowledge of its characters--triangles, circles, and other geometrical figures. The laws of geometry are not human inventions. They are found ready-made in nature and hold a truth that is the same in all times and all places and is older than the world itself. In How the World Is Made John Michell explains how ancient societies that grasped the timeless principles of sacred geometry were able to create flourishing societies. His more than 300 full-color illustrations reveal the secret code within these geometrical figures and how they express the spiritual meanings in the key numbers of 1 through 12. For example, the number 8 and its octagon are symbols of peace and stability, the holy 7 and its seven-sided figure are connected to the world-soul. He identifies the various regular shapes and shows their constructions; their natural symbolism; their meetings, matings, and ways of breeding; and their functions within the universal order. Some are musical and structural, others relate to life and humanity. In the process of making these discoveries, Michell helps us see the world in a new light. Disparate shapes and their corresponding numbers are woven together, resolving themselves into an all-inclusive world image--that “pattern in the heavens,” as Socrates called it, “which anyone can find and establish within themselves.”
Author: Robert Odell Bork
Author: Robert Odell Bork
Author: Layla S. Mayboudi
Author: Mark Amaru Pinkham
Author: Robert Marshall
Author: John Oscar Lieben
Author: Benno Artmann
Author: Michael McDaniel
Author: Debbie Brewer
Author: Donald B. Carroll
Author: John Michell