Casopra canvas Moonlit Seashell above a walnut desk in a dark green study with seashells and a brass lamp

Perception · 2 min read

The Golden Ratio in Art: Mostly a Myth

November 2024

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The Parthenon, the Mona Lisa, the nautilus shell, the perfect face: the golden ratio is said to hide in all of them. It is a beautiful number. Most of the stories about it are not true.

A real number, about 1.618

Divide a line into two unequal parts so that the whole is to the longer part as the longer part is to the shorter. The ratio you get is the golden ratio, written with the Greek letter φ (phi): about 1.618.1

Euclid described it around 300 BCE. It is closely tied to the Fibonacci sequence, 1, 1, 2, 3, 5, 8, 13…, in which each number is the sum of the two before it: divide one number by the one before, and the result creeps closer and closer to φ.1

Leonardo da Vinci's drawing of a polyhedron for Luca Pacioli's book De divina proportione
Leonardo da Vinci, illustration for Luca Pacioli's De divina proportione, published 1509. Public domain, via Wikimedia Commons (Internet Archive).
Another polyhedron drawn by Leonardo da Vinci for De divina proportione
Another of Leonardo's solids for the same book. Public domain, via Wikimedia Commons (Internet Archive).

How Leonardo got involved

In 1509 the mathematician Luca Pacioli published De divina proportione, “On the Divine Proportion,” a book that celebrated the ratio's supposed harmony. Its geometric solids were drawn by Leonardo da Vinci.1 That is a fact. The rest of the legend grew from there.

Many of these claims were examined in 1992 by the mathematician George Markowsky, in an article called “Misconceptions about the golden ratio,” and quite a few came up short.2

Where it really appears

The golden ratio is not a myth everywhere. In nature, the spirals of sunflower heads and pine cones often come in consecutive Fibonacci numbers, thanks to the golden angle, about 137.5°, which helps seeds pack tightly.1

And some artists did use it, on purpose. Salvador Dalí built the proportions of his Sacrament of the Last Supper (1955) on it, and the architect Le Corbusier based his Modulor system of measurements on φ.1 Devlin also names the painters Paul Sérusier, Juan Gris and Gino Severini, who experimented with it for its own sake.2

“Numerous tests have failed to show up any one rectangle that most observers prefer.”

Keith Devlin, “The Myth That Will Not Go Away”, 2007
Casopra canvas Whispered Spiral above a weathered wooden bench in a white seaside hallway
In the photo: Whispered Spiral, a Casopra canvas.

What actually makes a wall look right

Forget the magic number. What makes art look right on a wall is simpler: the right height, a width in proportion to the furniture below, and enough empty space around it.

A spiral shell, golden or not, is still one of the most satisfying shapes in nature.

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Spirals and shells

Four vertical canvases of nature's most elegant geometry.

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