SKU: 91071355016

The Geometry of Art and Life

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Description

The Geometry of Art and LifeIs 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

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 book. The author believes that there are such things as The Mathematics of Life and The Mathematics of Art, and that the two coincide. Using simple mathematical formulas, most as basic as Pythagoras' theorem and requiring only a very limited knowledge of mathematics, Professor Ghyka shows the fascinating relationships between geometry, aesthetics, nature, and the human body.
Beginning with ideas from Plato, Pythagoras, Archimedes, Ockham, Kepler, and others, the author explores the outlines of an abstract science of space, which includes a theory of proportions, an examination of the golden section, a study of regular and semi-regular polyhedral, and the interlinking of these various shapes and forms. He then traces the transmission of this spatial science through the Pythagorean tradition and neo-Pythagorism, Greek, and Gothic canons of proportion, the Kabbala, Masonic traditions and symbols, and modern applications in architecture, painting, and decorative art. When we judge a work of art, according to his formulation, we are making it conform to a pattern whose outline is laid down in simple geometrical figures; and it is the analysis of these figures both in art and nature that forms the core of Professor Ghyka's book. He also shows this geometry at work in living organisms. The ample illustrations and figures give concrete examples of the author's analysis: the Great Pyramid and tomb of Rameses IV, the Parthenon, Renaissance paintings and architecture, the work of Seurat, Le Corbusier, and flowers, shells, marine life, the human face, and much more.
For the philosopher, scientist, archaeologist, art historian, biologist, poet, and artist as well as the general reader who wants to understand more about the fascinating properties of numbers and geometry, and their relationship to art and life, this is a thought-provoking book.



Binding Type: Paperback
Publisher: Dover Publications
Published: 06/01/1977
ISBN: 9780486235424
Pages: 208
Weight: 0.45lbs
Size: 8.51h x 5.42w x 0.43d
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SKU: 91071355016

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4.5 ★★★★★
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Phoenix, US
★★★★★ 5
Actually a challenge for my genius dog!
Color: Purple, Size: Large (Pack of 1)
I am pretty sure my dog owns every puzzle toy and treat-dispensing dog toy that exists, and he's able to figure most of them out in less than 5 minutes. Many last no more than 60 seconds before he's solved them. The Barncle, however, is actually a challenge for him! The Barnacle has three "compartments, " none of which are connected. All three have a rubber "mouth" that helps keep treats inside. The rubber "mouth parts" are very effective and make it quite challenging to get treats out once they've been placed inside. You can trim the rubber "mouth parts" to make it easier to let treats out, but I'm not doing that. I'm glad that it's not challenge! The Barnacle keeps my dog occupied for at least 30 minutes, which is a LONG time for my dog who usually has a "What next?" attitude towards toys. Th only "bad" thing about the Barnacle is that it's so hard to get treats out of, even for humans. Therefore, it could attract vermin if you're not careful to clean it out.
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Reviewed in the United States on May 20, 2025
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Vanessa
Draper, US
★★★★★ 1
OMG - DO NOT BUY - it smells like noxious poison.
Color: Purple, Size: Medium (Pack of 1), Color: Purple, Size: Medium (Pack of 1)
OMG DO NOT BUY!!!!!!!!!!! I didn’t think the reviews stating the noxious smell could be accurate - OMG OUR WHOLE HOUSE REEKS OF POISON. I LITERALLY FEEL LIKE I MAY BE SICK. OMG OMG OMG.
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Reviewed in the United States on April 11, 2026
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KM
Lexington, US
★★★★★ 5
Great toy for dispensing dinner!
Color: Purple, Size: Large (Pack of 1)
This is one of my puppy's favorite toys! We always try to use toys to dispense his meals, but many of them become too easy for him. Kongs take no time at all to empty. This one seems to provide much more of a challenge, mostly due to the three different sizes of compartments and openings. He'll empty the largest compartment fairly quickly, but the small one almost always has a piece or two of kibble that he just can't get out. This helps to keep him interested in the toy throughout the day. We use a large breed dog food with larger sized kibble which helps to add to the challenge. The fact that this bounces erratically and doesn't roll smoothly makes it difficult for my dog to develop a method for emptying it quickly. With some other toys, like the Kong Wobbler, he quickly learns to just push it around with his nose. This toy makes him work much harder! The construction of this toy is very sturdy. We usually feed one meal a day in this, and it's held up well to heavy chewing. I (and my roommates) appreciate that it's made of softer plastic which doesn't make as much noise on the hardwood floors as some of his other toys. The prongs on the openings can be cut to adjust the difficulty, which is nice if you're using different sized kibble or treats. It is a little harder to fill than other toys, but still not terribly difficult. Overall I've had a great experience with all the PetSafe toys I've tried, and this one is one of the very best!
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Reviewed in the United States on January 11, 2015
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DEVIN
Waukegan, US
★★★★★ 5
Great chew toys!
Color: Purple, Size: Medium (Pack of 1), Color: Purple, Size: Medium (Pack of 1)
Keenan LOVES this toy! He will play with it all day. Running around the house, chasing as it bounces in different directions. And he'll be so content chewing on it for long periods of time. It makes an annoying sound when he chews, but I can live with it if it's keeping him entertained. This is the second purple rubber toy from this brand that I've purchased, the other being the squirrel one, which was his favorite until I purchased this for Christmas. They are super durable, his squirrel is still going strong. Even without putting food/treats inside, these are great toys for dogs that enjoy the softer rubber type chew toys. My only con is that it's a little big for him. He weighs 70lbs and I got the medium. It's fine but he has a hard time carrying it because of its size/shape, and he can't catch it when I toss it to him. Think I'm gonna buy the small size to see if it's any better.
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Reviewed in the United States on January 10, 2021
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Beata Leighton
Omaha, US
★★★★★ 5
Love this toy for meals
Color: Purple, Size: Large (Pack of 1)
This toy is phenomenal for use as a slow feeder!
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on April 9, 2026

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