The Geometry of Art and Life | 
enlarge | Author: Matila Ghyka Publisher: Dover Publications Category: Book
List Price: $9.95 Buy New: $5.46 You Save: $4.49 (45%)
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Rating: 6 reviews Sales Rank: 110239
Media: Paperback Pages: 174 Number Of Items: 1 Shipping Weight (lbs): 0.5 Dimensions (in): 8.4 x 5.4 x 0.5
ISBN: 0486235424 Dewey Decimal Number: 701.17 EAN: 9780486235424
Publication Date: June 1, 1977 Availability: Usually ships in 1-2 business days Shipping: International shipping available Condition: Brand New Book! Delivered direct from our US warehouse in 3-6 days (Expedited) or 10-14 days (Standard). Expedited shipping recommended for speedy delivery. Over 1 million satisfied customers.
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Product Description
This classic study probes the geometric interrelationships between art and life in discussions that range from Plato, Pythagoras, and Archimedes to modern architecture and art. Other topics include the Golden Section, geometrical shapes on the plane, geometrical shapes in space, crystal lattices, and many other fascinating subjects. Includes 80 plates and 64 figures.
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Accessible and Fascinating December 28, 2001 Kenneth James Michael MacLean (Ann Arbor, MI USA) 76 out of 77 found this review helpful
This excellent book, written in 1946, still remains in print, and for good reason. Ghyka shows mathematically that objects in nature are not randomly formed, but all have regularity and harmony. Beginning with the concepts of ratio and proportion in the plane, the Golden Section, and then to regular polygons and geometric shapes in 3 dimensions, Ghyka demonstrates these patterns with simple algebra and geometry, and plenty of diagrams. He explains the logarithmic spiral and its role in harmonious growth in nature, with photographs and diagrams. He shows how ancient builders used the Golden Section in their architecture and in their art. This book is a wonderful weaving of philosophy, mathematics and science, covering a lot of ground, and is very well-written. It is nothing like trying to wade through H.M.S. Coxeter! This book would be a fine companion to Cook's "The Curves of Life," fleshing out the concepts presented there. This little book is a gem -- there is a tremendous amount of information packed into its 174 pages, yet it is understandable to the layperson. And it is aptly titled. It truly is about "The Geometry of Art and Life." If you are one of those observant persons who is looking for a more detailed understanding of the underlying patterns in nature, art and architecture, and you don't mind spending a little time going through some simple algebra and geometry, this is the book for you.
A good book focused on Phi April 22, 2003 Digital Puer (Los Angeles, CA USA) 23 out of 23 found this review helpful
I'm not a mathematician, but I still found this book to be readable. It is largely focused on the Golden Section (Phi) and related proportions, including Fibonacci numbers, sqrt(Phi), etc. The explanation of how to derive this number is clearly explained in the first few chapters. The following chapters show how Phi is related to most things we see everyday, including architecture, 5-point animals, crystal latticies, art, and music. This book is quite old, so the illustrations seem rather antiquated. Nonetheless, the quantity and clarity of these illustrations are impressive.The writing was clear, but the concepts were occasionally difficult to understand. The author made mention of "gnomic" growth a number of times without really giving a single clear definition. Also, I felt that a number of the tie-ins between Phi and architecture were a bit of a stretch. Most likely you could overlay any graph over a blueprint and see any proportion you'd want to see. At any rate, this book has gotten me interested in this subject, and I will be looking for more books on Phi.
Aesthetics you can sink your mind into July 12, 2001 43 out of 44 found this review helpful
Why are beautiful works of art beautiful? What makes a striking piece of architecture striking? Why is it we find such pleasure in admiring a flower, or a tree? Rather than addressing these questions from a subjective standpoint, Ghyka analyzes the mathematical geometry of classical art, architecture, and biology and attempts to find a common thread to bind them all together. It's a wonderful mix of mathematics and history with a touch of philosophy to season it well. The math is simple, the sort of high-school geometry we've all had and forgotten, but it's critical for the understanding of his argument. If you hate math, you're probably not going to enjoy this book, but if you love art, and are willing to entertain an opinion as to _why_ you love it, I'd recommend suffering through it anyway - I've certainly developed a deeper appreciation of art and aesthetics in reading this book, and think it could be very valuable to serious (or not so serious) art lovers and artists.
Shows how mathematics intertwines with the arts and biology December 23, 2006 calvinnme (Fredericksburg, Va) 3 out of 3 found this review helpful
This book is a unique one that combines mathematics with art and somewhat quantifies that which we call beauty. The mathematical concepts presented are not difficult. If you've been exposed to algebra and geometry you should have no trouble. What will definitely help is having studied art, and in particular, art appreciation. With no real feeling for symmetry or form you might not appreciate this book as much as you could. The book's central focus is to show that patterns, themes of symmetry, and spirals discovered in living forms and living growth are the same themes of proportion that were used by Greek and Gothic architects. It also shows that the proportion known as "The Golden Section" appears to be the principle invariant. The Golden Section's algebraic and geometric properties are discussed, as are its role in biology and in aesthetics. This book is very accessible, but it is not something you will want to read quickly cover to cover. Instead, the best way to read this book is to read a short section, make sure you understand the underlying mathematics, and then think about what that particular section of the book says about the application of that mathematics to the arts or biology before returning to the book for further reading.
Excellent and Insightful May 8, 2007 Ben Bristol 2 out of 2 found this review helpful
This short paperback is a hidden gem. It contains so many insightful pithy clues about life, along with easy to understand mathematical paradigms. Every item will have you saying is this math, is it philosophy, is it religion, or is just true in many, many ways.
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