SKU: 91071355016

The Geometry of Art and Life

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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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snowdrop
Waukegan, US
★★★★★ 5
Obsessed. Soothing, effective, fragrance-free, incredibly healing
Style: Tolerance Daily Foaming Facial Cleanser
I’ve been loving this so much I bought a second bottle after a few days of using it. It has all the skin soothing benefits of the tolerance lotion cleanser, but it’s also a really great cleanser. It’s almost not noticeable how good it is at cleansing because your skin doesn’t feel stripped after, but it takes things off really quickly. I was worried because it doesn’t foam a lot and it feels so nurturing — much like the tolerance lotion cleanser (which I use as a second cleanse when my skin needs a few days to recover from something like a derm office treatment) — but when I wash again with my favorite HG cleanser nothing extra comes off, and I tested it twice on waterproof eyeliner that I’d swiped on my forearm for an hour or so, the eyeliner dissolved and wiped off with two or three gentle swipes. It has a very emollient texture, so when you rub it against your skin it slips so easily you don’t realize it’s dissolving and taking things away because there is no friction. So it’s great at taking off makeup, it’s AMAZING at cleaning makeup brushes, and IT DOES NOT BURN MY EYES AT ALL. Also, it is FRAGRANCE-FREE… before I bought it I read a review complaining about smelling a citrus fragrance, that person either has some sort of brain tumor or something spilled on their bottle when it was in a warehouse because this is definitely a fragrance-free product. Prior to trying this, I had tried another cleanser that gave me weird acne hives all over my chest (never happened to me before) and I was struggling to heal the acne and the irritation. I noticed an immediate difference when I started using the tolerance cleanser on it; the fresh redness went away, the acne started healing, and the post-inflammatory hyperpigmentation has been healing fast. So I’ve been using this on my body as well and it’s soothing and moisturizing in all the places where other things have been drying. I have mild rosacea and I hadn’t realized how irritated my skin was from the last thing I’d tried until after 5 days or so of using this my skin tone looked much more even and the stubborn PIH I have from a two-zit hormonal breakout a month ago finally looked dramatically lighter (as recently as the week before, I’d needed to cover them with high-coverage concealer). Because this doesn’t foam much, some people might not realize how well it’s cleaning… I encourage you to judge it based on how your skin looks and feels. Since it is very emollient though, I do think it’s important to use it with a face wash scrubber or washcloth just to ensure you’re getting some mild mechanical exfoliation and clearing away skin cells that could be trapping stuff in your pores. For this reason, I do wash my face with this twice so the first wash can get off makeup/debris/oil and then the second wash can really penetrate and clean my skin.
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Reviewed in the United States on February 15, 2026
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BlackHeartNY
Boise, US
★★★★★ 5
No Scent and Gentle
Style: Tolerance Daily Foaming Facial Cleanser
I broke out in a case of Perioral Dermatitis recently and bought this product to help before I could see my doctor. Avene Tolerance facial cleanser has no scent and is very gentle on my skin. It didn’t burn when washing with this product, and even helped to slough off the dead skin around my lips. My face feels clean, not dry. I am still going to see my doc to get an RX for the inflammation, but I do believe this product helped to alleviate the dryness and tightness of my skin and lips. I’ve used other Avene products and I’m very happy with them. Even though these products are more expensive, to me they are well worth the money because they are much more gentle on the skin than any other products I’ve used. I will buy this product again just because of the fact that it’s so gentle. PS: at the time of purchase for this product, I also bought Avene’s Tolerance Control Skin Recovery Cream (you don’t need to use a lot of this one on your entire face), and Avene’s Cicalfate for lips. Between these 3 products, my lips and skin feel a lot better (however, I will still see my doctor because I have Crohn’s Disease and Perioral Dermatitis is considered an extra-intestinal side effect of Crohn’s).
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Reviewed in the United States on March 20, 2026
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Taylor Ashley
Natrona Heights, US
★★★★★ 5
Gentle everyday cleanser!
Style: Tolerance Daily Foaming Facial Cleanser
My go to nightly cleanser! Gentle yet effective. Removes makeup without leaving any residue behind. Also does not dry out my skin or cause breakouts! I would say it’s more of a cream cleanser though. It does not really foam up. It’s a decent size bottle for the price. The pump dispenser is an added plus!
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Reviewed in the United States on May 19, 2026
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Tee Hix
San Leandro, US
★★★★★ 5
So gentle and moisturizing. Great for super sensitive skin.
Style: Tolerance Daily Foaming Facial Cleanser
This is so gentle and moisturizing. Does not irritate my skin in any way. My skin is super sensitive and I have atopic dermatitis, it has been the best cleanser I’ve used to date. I was using another one from this brand and it was fine but this is the one I will continually stick with from now on. Just hope they don’t change the formula.
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Reviewed in the United States on May 14, 2026
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Jaime B.
Belleville, US
★★★★★ 4
Good for sensitive skin
Style: Tolerance Daily Foaming Facial Cleanser
This cleanser is really good for sensitive or compromised skin barrier.
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Reviewed in the United States on May 18, 2026

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