The Geometry of Art and Life

by Matila Ghyka

Book Overview

Is everything chaos and chance, or is there order, harmony, and proportion in human life, nature, and the finest art? Can one find a natural aesthetic that corresponds to a universal order? If so, what importance can it have for the scientist, artist, or layman? What is the true significance of the triangle, rectangle, spiral, and other geometric shapes? These are but a few of the questions that Professor Matila Ghyka deals with in this fascinating...

• Format: Paperback
• Language: English
• ISBN: 0486235424
• ISBN13: 9780486235424
• Release Date: June 1977
• Publisher: Dover Publications
• Length: 208 Pages
• Weight: 0.50 lbs.
• Dimensions: 0.4" x 5.4" x 8.5"

Customer Reviews

Excellent and Insightful

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.

Shows how mathematics intertwines with the arts and biology

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.

A good book focused on Phi

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.

Accessible and Fascinating

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.

Aesthetics you can sink your mind into

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.