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.
Download or read book The Divine Proportions of Luca Pacioli written by W. A. W. Parker and published by Barbera Foundation Incorporated. This book was released on 2019 with total page 256 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. If not for mentors who recognized his genius with numbers, the orphan from a small town in Italy, may have been destined for a life of struggle and obscurity. Instead, he was among the greats of the Renaissance.
Download or read book Ancient Double entry Bookkeeping written by John Bart Geijsbeek and published by . This book was released on 1914 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Leonardo Da Vinci and the Pacioli Code written by Jerzy K. Kulski and published by Leonardo Da Vinci - Artist, Sc. This book was released on 2019-11-17 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leonardo da Vinci and the Pacioli Code by Jerzy K. Kulski was published in 2019 to mark the 500th anniversary of Leonardo's death at 67-years of age on May 2 in Amboise in France. This illustrated ( 160 images) and referenced book honours and celebrates Leonardo's life and accomplishments in art, science and his philosophy on dialectics, linear perspective, geometric variations, divine proportion, vision, perception and anamorphosis. It highlights and commemorates his friendship with the Franciscan friar and mathematician, Fra Luca Pacioli. The author focuses particularly on the subjects, objects, pictorial codes and hidden messages contained within the mysterious portrait entitled Fra Luca Pacioli and Student that is held at the National Museum of Capodimonte in Naples and officially attributed to the Venetian painter Jacopo de' Barbari. However, this official attribution is questionable because the painting shows all the typical signatures, mysteries, anagrams, geometric proportions, symbols and praxis of Leonardo da Vinci. It is a fantastical Renaissance masterpiece drawn and painted with science, wit, guile and artistry by an innovator communicating with puzzling rebuses and psychological imagery. Kulski describes and analyses the science, mathematics, geometry, symbolism, history and pictorial codification of the portraiture of the Franciscan friar Luca Pacioli, the condottiero and jouster Galeazzo Sanseverino, Leonardo's signature rhombicuboctahedron hanging in space from a red thread, an enigmatic black fly, together with a secretive anagram, IACO. B AR. VIGEN NIS. P.1495, that encodes the political intrigues in the Duchy of Milan during the time of Leonardo da Vinci. The exposition explores Leonardo's 5-year working relationship with Fra Luca Pacioli on Euclidian geometry, regular solids and the divine proportion, together with the support and intrigues of their powerful and rich sponsors, Galeazzo Sanseverino and his father-in-law Ludovico Sforza, the Duke of Milan, who inspired the portraiture. This book is dedicated to the Italian Renaissance art researcher Carla Glori who deciphered the mysterious code associated with the menacing black fly on the yellowed, encrypted cartouche and proved beyond reasonable doubt that the painting originated from the studio of Leonardo da Vinci when he still was entangled in various disputes with his other major art works, The Virgin of the Rocks, The Last Supper, Mona Lisa and the giant equestrian statue known as Colossus.The 21 chapters also contain 160 images and a bibliography of 250 cited books, journal references and Internet web pages.
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.
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.
Download or read book The Gondola Maker written by Laura Morelli and published by Laura Morelli. This book was released on 2014-03-03 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Award-winning historical fiction set in 16th-century Venice -Benjamin Franklin Digital Award -IPPY Award for Best Adult Fiction E-book -National Indie Excellence Award Finalist -Eric Hoffer Award Finalist -Shortlisted for the da Vinci Eye Prize From the author of Made in Italy comes a tale of artisanal tradition and family bonds set in one of the world's most magnificent settings: Renaissance Venice. Venetian gondola-maker Luca Vianello considers his whole life arranged. His father charted a course for his eldest son from the day he was born, and Luca is positioned to inherit one of the city’s most esteemed boatyards. Soon he will marry the daughter of an artisan prow-maker, securing a key business alliance for the family. But when Luca experiences an unexpected tragedy in the boatyard, he believes that his destiny lies elsewhere. Soon he finds himself drawn to restore an antique gondola with the dream of taking a girl for a ride. The Gondola Maker brings the centuries-old art of gondola-making to life in the tale of a young man's complicated relationship with his master-craftsman father. Lovers of historical fiction will appreciate the authentic details of gondola craftsmanship, along with an intimate first-person narrative set against the richly textured backdrop of 16th-century Venice. "I'm a big fan of Venice, so I appreciate Laura Morelli's special knowledge of the city, the period, and the process of gondola-making. An especially compelling story." --Frances Mayes, author of Under the Tuscan Sun "Laura Morelli has done her research, or perhaps she was an Italian carpenter in another life. One can literally smell and feel the grain of finely turned wood in her hands." --Pamela Sheldon Johns, author of Italian Food Artisans "Romance, intrigue, family loyalty, pride, and redemption set against the backdrop of Renaissance Italy." --Library of Clean Reads "Beautiful, powerful evocation of the characters, the place, and the time. An elegant and thoroughly engaging narrative voice." --Mark Spencer, author of Fiction Club: A Concise Guide to Writing Good Fiction
Download or read book Double Entry written by Jane Gleeson-White and published by Allen & Unwin. This book was released on 2014-06-19 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our world is governed by the numbers generated by the accounts of nations and corporations. We depend on these numbers to direct our governments, our institutions, corporations, economies, societies. But where did they come from and how did they become so powerful?The answer to these questions begins in the Dark Ages in northern Italy with a new form of record keeping perfected by the merchants of Venice called double-entry bookkeeping. The story of double entry stars a Renaissance monk, mathematician, magician and constant companion of Leonardo da Vinci, his 27-page treatise for merchants, re.
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.
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.
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.
Download or read book The Golden Number written by Matila C. Ghyka and published by Inner Traditions. This book was released on 2016-10-30 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first English translation of Ghyka’s masterwork on sacred geometry • Reveals how the Golden Number Phi underlies the spiritual nature of beauty and the hidden harmonies that connect the whole of creation • Explains how the spiritual mysteries of the Golden Number were passed down in an unbroken line of transmission from the Pythagorean brotherhoods through the medieval builders’ guilds to the secret societies of 18th-century Europe The Golden Number, or Phi (Φ), is a geometric ratio found throughout nature, often underlying the dimensions of objects considered especially beautiful. Simplified as 1.618 and symbolized by the Fibonacci sequence, the Golden Number represents the unique relationship within an object where the ratio of a larger part to a smaller part is the same as the ratio of the whole to the larger part. It appears in the proportions of the human face and body as well as in the proportions of animals, plants, and celestial bodies. Called the divine proportion by the monk Fra Luca Pacioli, whose book on the subject was illustrated by Leonardo da Vinci, Phi’s use in art and architecture goes back at least to the mystical mathematics of Pythagoras and his followers in the sixth century BCE. The perfect synthesis of spiritual and material, it can be found in the measurements of the sacred temples of Egypt, Ancient Greece, and Medieval and Renaissance Europe. The asymptotic series of integers that define Phi represent the macrocosm and microcosm as portrayed in Plato’s concept of the world soul. Presenting Matila Ghyka’s classic treatise on the Golden Number for the first time in English, this book reveals the many ways this ratio can be found not only in the organic forms of nature--such as in the spirals of shells or the number of petals on a flower--but also in the most beautiful and highest creations of humanity. One of the most important concepts of sacred geometry, its mysteries were passed down in an unbroken line of transmission from the Pythagorean brotherhoods through the medieval builders’ guilds to the secret societies of 18th-century Europe. Ghyka shows how the secrets of this divine proportion were not sought merely for their value in architecture, painting, and music, but also as a portal to a deeper understanding of the spiritual nature of beauty and the hidden harmonies that connect the whole of creation.
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."
Download or read book Divine Proportions written by Norman John Wildberger and published by . This book was released on 2005 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: "... introduces a remarkable new approach to trigonometry and Euclidean geometry, with dramatic implications for mathematics teaching, industrial applications and the direction of mathematical research in geometry" -- p. vii.
Download or read book The Geometry of Art and Life written by Matila Costiescu Ghyka and published by Courier Corporation. This book was released on 1977-01-01 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Wasteland written by Harper H. Jameson and published by . This book was released on 2021-01-05 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The extraordinary career and devastating life of T.S. Eliot. In the midst of the roaring twenties, Eliot, an obscure bank clerk, intervenes to save a gay man being badly beaten and is thrust into a journey of sexual awakening. But even as love opens the floodgates for his poetry, he is set on a crash course with the homophobic society he will do anything to join.
