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De Divina Proportione On The Divine Proportion
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Book Synopsis The Divine Proportion by : H. E. Huntley
Download or read book The Divine Proportion written by H. E. Huntley and published by Courier Corporation. This book was released on 2012-06-08 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discussion ranges from theories of biological growth to intervals and tones in music, Pythagorean numerology, conic sections, Pascal's triangle, the Fibonnacci series, and much more. Excellent bridge between science and art. Features 58 figures.
Download or read book Thinking 3D written by Daryl Green and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the Renaissance, artists and illustrators developed the representation of truthful three-dimensional forms into a highly skilled art. As reliable illustrations of three-dimensional subjects became more prevalent, they also influenced the ways in which disciplines developed: architecture could be communicated much more clearly, mathematical concepts and astronomical observations could be quickly relayed, and observations of the natural world moved towards a more realistic method of depiction. Through essays on some of the world's greatest artists and thinkers--such as Leonardo da Vinci, Luca Pacioli, Andreas Vesalius, Johann Kepler, Galileo Galilei, William Hunter, and many more--this book tells the story of how of we learned to communicate three-dimensional forms on the two-dimensional page. It features some of Leonardo da Vinci's ground-breaking drawings now in the Royal Collections and British Library as well as extraordinary anatomical illustrations, early paper engineering such as volvelles and flaps, beautiful architectural plans, and even views of the moon. With in-depth analysis of more than forty manuscripts and books, Thinking 3D also reveals the impact that developing techniques had on artists and draftsmen throughout time and across space, culminating in the latest innovations in computer software and 3D printing.
Book Synopsis The Fabric of Mind by : Richard Bergland
Download or read book The Fabric of Mind written by Richard Bergland and published by Viking Adult. This book was released on 1986 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: A radical new understanding of the brain and how it works.
Book Synopsis The Glorious Golden Ratio by : Alfred S. Posamentier
Download or read book The Glorious Golden Ratio written by Alfred S. Posamentier and published by Prometheus Books. This book was released on 2011-12-20 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: What exactly is the Golden Ratio? How was it discovered? Where is it found? These questions and more are thoroughly explained in this engaging tour of one of mathematics' most interesting phenomena. The authors trace the appearance of the Golden Ratio throughout history, demonstrate a variety of ingenious techniques used to construct it, and illustrate the many surprising geometric figures in which the Golden Ratio is embedded. Requiring no more than an elementary knowledge of geometry and algebra, the authors give readers a new appreciation of the indispensable qualities and inherent beauty of mathematics.
Book Synopsis Athanasius Kircher by : Paula Findlen
Download or read book Athanasius Kircher written by Paula Findlen and published by Routledge. This book was released on 2004-08-02 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 2004.Athanasius Kircher (1602-1680) -- German Jesuit, occultist, polymath - was one of most curious figures in the history of science. He dabbled in all the mysteries of his time: the heavenly bodies, sound amplification, museology, botany, Asian languages, the pyramids of Egypt -- almost anything incompletely understood. Kircher coined the term electromagnetism, printed Sanskrit for the first time in a Western book, and built a famous museum collection. His wild, beautifully illustrated books are sometimes visionary, frequently wrong, and yet compelling documents in the history of ideas. They are being rediscovered in our own time. This volume contains new essays on Kircher and his world by leading historians and historians of science, including Stephen Jay Gould, Ingrid Rowland, Anthony Grafton, Daniel Stoltzenberg, Paula Findlen, and Barbara Stafford.-
Book Synopsis Math and the Mona Lisa by : Bulent Atalay
Download or read book Math and the Mona Lisa written by Bulent Atalay and published by Smithsonian Institution. This book was released on 2011-09-20 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leonardo da Vinci was one of history's true geniuses, equally brilliant as an artist, scientist, and mathematician. Readers of The Da Vinci Code were given a glimpse of the mysterious connections between math, science, and Leonardo's art. Math and the Mona Lisa picks up where The Da Vinci Code left off, illuminating Leonardo's life and work to uncover connections that, until now, have been known only to scholars. Bülent Atalay, a distinguished scientist and artist, examines the science and mathematics that underlie Leonardo's work, paying special attention to the proportions, patterns, shapes, and symmetries that scientists and mathematicians have also identified in nature. Following Leonardo's own unique model, Atalay searches for the internal dynamics of art and science, revealing to us the deep unity of the two cultures. He provides a broad overview of the development of science from the dawn of civilization to today's quantum mechanics. From this base of information, Atalay offers a fascinating view into Leonardo's restless intellect and modus operandi, allowing us to see the source of his ideas and to appreciate his art from a new perspective.
Book Synopsis Demoniality; Or, Incubi and Succubi by : Ludovico Maria Sinistrari
Download or read book Demoniality; Or, Incubi and Succubi written by Ludovico Maria Sinistrari and published by . This book was released on 1879 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Golden Ratio by : Gary B. Meisner
Download or read book The Golden Ratio written by Gary B. Meisner and published by Quarto Publishing Group USA. This book was released on 2018-10-23 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: This enlightening and gorgeously illustrated book explores the beauty and mystery of the divine proportion in art, architecture, nature, and beyond. From the pyramids of Giza, to quasicrystals, to the proportions of the human face, the golden ratio has an infinite capacity to generate shapes with exquisite properties. Author Gary Meisner has spent decades researching the subject, investigating and collaborating with people across the globe in dozens of professions and walks of life. In The Golden Ratio, he shares his enlightening journey. Exploring the long history of this fascinating number, as well as new insights into its power and potential applications, The Golden Ratio invites you to take a new look at this timeless topic.
Book Synopsis The Divine Proportions of Luca Pacioli by : W.A.W. Parker
Download or read book The Divine Proportions of Luca Pacioli written by W.A.W. Parker and published by Barbera Foundation. This book was released on with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Luca Pacioli stood beside the great Leonardo da Vinci and gazed at The Last Supper. He saw immediately that something was terribly wrong. An orphan from a small town in Italy, Pacioli came of age during the Renaissance seemingly destined for a life of struggle and obscurity. But Pacioli had the good fortune of meeting mentors who recognized his uncanny ability with numbers and introduced him to renowned artists and philosophers, royalty, and popes. At a time when many still used Roman numerals and colleges didn’t even teach mathematics, Pacioli was determined to share his passion and make it accessible and understandable. Apprentice to an artist, but a terrible artist himself, he became a master at calculating mathematical perspective in paintings. Tasked with teaching mathematics with no textbook, he wrote his own—followed by books on double-entry bookkeeping, chess, and the divine proportion. In this way, Luca Pacioli, “the father of accounting,” still has something to teach us—not just about mathematics—but about how we account for setbacks in our lives and how we determine what our legacy will be.
Book Synopsis Harvard College Library, Department of Printing and Graphic Arts by : Harvard College Library. Dept. of Printing and Graphic Arts
Download or read book Harvard College Library, Department of Printing and Graphic Arts written by Harvard College Library. Dept. of Printing and Graphic Arts and published by . This book was released on 1964 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Mathematical History of the Golden Number by : Roger Herz-Fischler
Download or read book A Mathematical History of the Golden Number written by Roger Herz-Fischler and published by Courier Corporation. This book was released on 2013-12-31 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive study traces the historic development of division in extreme and mean ratio ("the golden number") from its first appearance in Euclid's Elements through the 18th century. Features numerous illustrations.
Book Synopsis The Innovators Behind Leonardo by : Plinio Innocenzi
Download or read book The Innovators Behind Leonardo written by Plinio Innocenzi and published by Springer. This book was released on 2018-06-27 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This engaging book places Leonardo da Vinci’s scientific achievements within the wider context of the rapid development that occurred during the Renaissance. It demonstrates how his contributions were not in fact born of isolated genius, but rather part of a rich period of collective advancement in science and technology, which began at least 50 years prior to his birth. Readers will discover a very special moment in history, when creativity and imagination were changing the future—shaping our present. They will be amazed to discover how many technological inventions had already been conceived or even designed by the engineers and inventors who preceded Leonardo, such as Francesco di Giorgio and Taccola, the so-called Siena engineers. This engaging volume features a wealth of illustrations from a variety of original sources, such as manuscripts and codices, enabling the reader to see and judge for him or herself the influence that other Renaissance engineers and inventors had on Leonardo.
Book Synopsis The Mathematics of Harmony by : Alexey Stakhov
Download or read book The Mathematics of Harmony written by Alexey Stakhov and published by World Scientific. This book was released on 2009 with total page 745 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assisted by Scott Olsen ( Central Florida Community College, USA ). This volume is a result of the author's four decades of research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the OC Mathematics of Harmony, OCO a new interdisciplinary direction of modern science. This direction has its origins in OC The ElementsOCO of Euclid and has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the OC goldenOCO algebraic equations, the generalized Binet formulas, Fibonacci and OC goldenOCO matrices), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational radices, Fibonacci computers, ternary mirror-symmetrical arithmetic, a new theory of coding and cryptography based on the Fibonacci and OC goldenOCO matrices). The book is intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science. Sample Chapter(s). Introduction (503k). Chapter 1: The Golden Section (2,459k). Contents: Classical Golden Mean, Fibonacci Numbers, and Platonic Solids: The Golden Section; Fibonacci and Lucas Numbers; Regular Polyhedrons; Mathematics of Harmony: Generalizations of Fibonacci Numbers and the Golden Mean; Hyperbolic Fibonacci and Lucas Functions; Fibonacci and Golden Matrices; Application in Computer Science: Algorithmic Measurement Theory; Fibonacci Computers; Codes of the Golden Proportion; Ternary Mirror-Symmetrical Arithmetic; A New Coding Theory Based on a Matrix Approach. Readership: Researchers, teachers and students in mathematics (especially those interested in the Golden Section and Fibonacci numbers), theoretical physics and computer science."
Book Synopsis The Golden Ratio And Fibonacci Numbers by : Richard A Dunlap
Download or read book The Golden Ratio And Fibonacci Numbers written by Richard A Dunlap and published by World Scientific. This book was released on 1997-12-16 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this invaluable book, the basic mathematical properties of the golden ratio and its occurrence in the dimensions of two- and three-dimensional figures with fivefold symmetry are discussed. In addition, the generation of the Fibonacci series and generalized Fibonacci series and their relationship to the golden ratio are presented. These concepts are applied to algorithms for searching and function minimization. The Fibonacci sequence is viewed as a one-dimensional aperiodic, lattice and these ideas are extended to two- and three-dimensional Penrose tilings and the concept of incommensurate projections. The structural properties of aperiodic crystals and the growth of certain biological organisms are described in terms of Fibonacci sequences.
Book Synopsis ICGG 2018 - Proceedings of the 18th International Conference on Geometry and Graphics by : Luigi Cocchiarella
Download or read book ICGG 2018 - Proceedings of the 18th International Conference on Geometry and Graphics written by Luigi Cocchiarella and published by Springer. This book was released on 2018-07-06 with total page 2334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers peer-reviewed papers presented at the 18th International Conference on Geometry and Graphics (ICGG), held in Milan, Italy, on August 3-7, 2018. The spectrum of papers ranges from theoretical research to applications, including education, in several fields of science, technology and the arts. The ICGG 2018 mainly focused on the following topics and subtopics: Theoretical Graphics and Geometry (Geometry of Curves and Surfaces, Kinematic and Descriptive Geometry, Computer Aided Geometric Design), Applied Geometry and Graphics (Modeling of Objects, Phenomena and Processes, Applications of Geometry in Engineering, Art and Architecture, Computer Animation and Games, Graphic Simulation in Urban and Territorial Studies), Engineering Computer Graphics (Computer Aided Design and Drafting, Computational Geometry, Geometric and Solid Modeling, Image Synthesis, Pattern Recognition, Digital Image Processing) and Graphics Education (Education Technology Research, Multimedia Educational Software Development, E-learning, Virtual Reality, Educational Systems, Educational Software Development Tools, MOOCs). Given its breadth of coverage, the book introduces engineers, architects and designers interested in computer applications, graphics and geometry to the latest advances in the field, with a particular focus on science, the arts and mathematics education.
Book Synopsis Leonardo's Library by : Paula Findlen
Download or read book Leonardo's Library written by Paula Findlen and published by . This book was released on 2019-05 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Illustrated catalogue published in conjunction with the exhibition "Leonardo's Library: The World of a Renaissance Reader," Stanford University Libraries, Green Library, May 2 - October 13, 2019.
Book Synopsis De Divina Proportione / on the Divine Proportion by : Luca Pacioli
Download or read book De Divina Proportione / on the Divine Proportion written by Luca Pacioli and published by CreateSpace. This book was released on 2014-08-15 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a facsimile (in black and white) of De Divina Proportione ("On the Divine Proportion"), printed June 1st 1509 in Venice, of which only two copies reached our XXIth century. It had to become one among the most famous books in the world, but not only because it was partly made by Leonardo da Vinci and printed during his lifetime. He drew fifty nine of the sketches it includes, which form the earliest work from the artist's hand to appear in print. Luca Bartolomeo de Pacioli (1445-1517), Italian mathematician and Franciscan friar, wrote the full text of it. He and Leonardo da Vinci set forth a way of describing the visible world in terms of its common geometrical elements, what he calls the "divine proportion", equally known as the "Golden ratio". Even the layout of this book, which we may find somehow surprising today, Pacioli and da Vinci drafted it on a geometrical grid with respect to the divine proportion. De Divina proportione also is one of the most remarkable illustrated books published in the sixteenth century. Based on the writings of Plato, Euclid, and Vitruvius, and arguing his thesis by means of exegesis and the generous use of evocative illustration, Pacioli claims that this proportional element is shared by a variety of solid bodies, from human anatomy to architectural forms and even to the composition of the letter's design in the Roman alphabet. Today we don't know how many copies of De Divina Proportione were printed in Venice by printer Paganinus de Paganinus. Two surviving copies only exist, one at the Biblioteca Ambrosiana in Milan, and the second at the Bibliothèque de Genève in Geneva, Switzerland. For the intersection of art and science and the active engagement of the pre-eminent genius of the period, Leonardo da Vinci, this is one of the most iconic works of the Italian Renaissance. The clarity of both the written material and Leonardo's diagrams gave the book a popularity beyond mathematical circles. It has since then been reprinted several times and translated in many languages.
