The Geometry of Environment

The Geometry of Environment
Author: Lionel March
Publisher: Routledge
Total Pages: 492
Release: 2020-10-31
Genre: Architecture
ISBN: 100069111X

Originally published in 1971 The Geometry of Environment is a fusion of art and mathematics introducing stimulating ideas from modern geometry, using illustrations from architecture and design. The revolution in the teaching of mathematics and the advent of the computer in design challenge traditional ways of appreciating the space about us, and expand the ‘structural’ understanding of our surroundings through such concepts as transformations, symmetry groups, sets and graphs. This book aims to show the relevance of ‘new maths’ and encourages exploration of the widening intellectual horizons of environmental design and architecture.

Parametric Geometry of Curves and Surfaces

Parametric Geometry of Curves and Surfaces
Author: Alberto Lastra
Publisher: Springer Nature
Total Pages: 293
Release: 2021-09-06
Genre: Mathematics
ISBN: 3030813177

This textbook provides a thorough introduction to the differential geometry of parametrized curves and surfaces, along with a wealth of applications to specific architectural elements. Geometric elements in architecture respond to practical, physical and aesthetic needs. Proper understanding of the mathematics underlying the geometry provides control over the construction. This book relates the classical mathematical theory of parametrized curves and surfaces to multiple applications in architecture. The presentation is mathematically complete with numerous figures and animations illustrating the theory, and special attention is given to some of the recent trends in the field. Solved exercises are provided to see the theory in practice. Intended as a textbook for lecture courses, Parametric Geometry of Curves and Surfaces is suitable for mathematically-inclined students in engineering, architecture and related fields, and can also serve as a textbook for traditional differential geometry courses to mathematics students. Researchers interested in the mathematics of architecture or computer-aided design will also value its combination of precise mathematics and architectural examples.

Sacred Geometry of Nature

Sacred Geometry of Nature
Author: Francene Hart
Publisher: Simon and Schuster
Total Pages: 418
Release: 2017-01-13
Genre: Body, Mind & Spirit
ISBN: 159143274X

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.

Structure in Nature Is a Strategy for Design

Structure in Nature Is a Strategy for Design
Author: Peter Pearce
Publisher: MIT Press
Total Pages: 268
Release: 1990
Genre: Architecture
ISBN: 9780262660457

"The structural designs that occur in nature - in molecules, in crystals, in living cells - appear in this fully illustrated book as a source of inspiration and study of design of man-made structures" -- BOOK JACKET.

3-D Surface Geometry and Reconstruction: Developing Concepts and Applications

3-D Surface Geometry and Reconstruction: Developing Concepts and Applications
Author: Chandra Pati, Umesh
Publisher: IGI Global
Total Pages: 406
Release: 2012-02-29
Genre: Computers
ISBN: 1466601140

"This book provides developers and scholars with an extensive collection of research articles in the expanding field of 3D reconstruction, investigating the concepts, methodologies, applications and recent developments in the field of 3D reconstruction"--

Geometry in Nature

Geometry in Nature
Author: John Blackwood
Publisher:
Total Pages: 190
Release: 2012
Genre: Mathematics
ISBN: 9780863159213

From the simplest observations in nature to detailed measuring of intricate forms, we find geometry everywhere in the world around us.In this magnificent book, John Blackwood explores different kinds of symmetry in the diverse realms of nature. He considers the fundamental forms of minerals, plants, animals and humans, before going on to look at spirals, vortices, buds and other complex shapes. Using projective geometry as a basis, he shows how many forms in nature are generated by the same basic geometrical process, but significant disparities lead to the wondrous variety found in our universe.Fully illustrated with over 500 photographs, drawings and diagrams, this is both a beautiful and inspirational book.

Handbook of the Geometry of Banach Spaces

Handbook of the Geometry of Banach Spaces
Author:
Publisher: Elsevier
Total Pages: 1017
Release: 2001-08-15
Genre: Mathematics
ISBN: 0080532802

The Handbook presents an overview of most aspects of modernBanach space theory and its applications. The up-to-date surveys, authored by leading research workers in the area, are written to be accessible to a wide audience. In addition to presenting the state of the art of Banach space theory, the surveys discuss the relation of the subject with such areas as harmonic analysis, complex analysis, classical convexity, probability theory, operator theory, combinatorics, logic, geometric measure theory, and partial differential equations. The Handbook begins with a chapter on basic concepts in Banachspace theory which contains all the background needed for reading any other chapter in the Handbook. Each of the twenty one articles in this volume after the basic concepts chapter is devoted to one specific direction of Banach space theory or its applications. Each article contains a motivated introduction as well as an exposition of the main results, methods, and open problems in its specific direction. Most have an extensive bibliography. Many articles contain new proofs of known results as well as expositions of proofs which are hard to locate in the literature or are only outlined in the original research papers. As well as being valuable to experienced researchers in Banach space theory, the Handbook should be an outstanding source for inspiration and information to graduate students and beginning researchers. The Handbook will be useful for mathematicians who want to get an idea of the various developments in Banach space theory.

Geometry In Our Three-dimensional World

Geometry In Our Three-dimensional World
Author: Alfred S Posamentier
Publisher: World Scientific
Total Pages: 441
Release: 2021-11-24
Genre: Mathematics
ISBN: 9811237123

The book presents a comprehensive overview of various aspects of three-dimensional geometry that can be experienced on a daily basis. By covering the wide range of topics — from the psychology of spatial perception to the principles of 3D modelling and printing, from the invention of perspective by Renaissance artists to the art of Origami, from polyhedral shapes to the theory of knots, from patterns in space to the problem of optimal packing, and from the problems of cartography to the geometry of solar and lunar eclipses — this book provides deep insight into phenomena related to the geometry of space and exposes incredible nuances that can enrich our lives.The book is aimed at the general readership and provides more than 420 color illustrations that support the explanations and replace formal mathematical arguments with clear graphical representations.

Principles of Environmental Physics

Principles of Environmental Physics
Author: John Monteith
Publisher: Butterworth-Heinemann
Total Pages: 308
Release: 1990-02-15
Genre: Nature
ISBN: 9780713129311

Thoroughly revised and up-dated edition of a highly successful textbook.

Geometry Makes Me Happy

Geometry Makes Me Happy
Author:
Publisher:
Total Pages: 0
Release: 2013
Genre: Aesthetics
ISBN: 9788415308393

The worlds of art and design have consistently depended on some elements of mathematics to provide a structure and base for their creative work. In particular, geometry is an element that has proven to be popular throughout the years, and has experienced a definite surge in popularity in recent years. Geometry Makes Me Happy celebrates the use of geometric design and art, shown in a variety of different applications. The colourful and inspiring book is divided into distinct sections, including art, photography, graphic design, illustration, industrial design, fashion, street art and interior design.