Brain Pickings

Mondrian Meets Euclid: An Eccentric Victorian Mathematician’s Masterwork of Art and Science


Math in primary colors and graphic design before there was graphic design.

Almost a century before Mondrian made his iconic red, yellow, and blue geometric compositions, and around the time that Edward Livingston Youmans was creating his stunning chemistry diagrams, an eccentric 19th-century civil engineer and mathematician named Oliver Byrne produced a striking series of vibrant diagrams in primary colors for a 1847 edition of the legendary Greek mathematical treatise Euclid’s Elements. Byrne, a vehement opponent of pseudoscience with an especial distaste phrenology, was early to the insight that great design and graphic elegance can powerfully aid learning. He explained that in his edition of Euclid, “coloured diagrams and symbols are used instead of letters for the greater ease of learners.” The book, a masterpiece of Victorian printing and graphic design long before “graphic design” existed as a discipline, is celebrated as one of the most unusual and most beautiful books of the 19th century.

Now, the fine folks of Taschen — who have brought us such visual treasures as the best illustrations from 150 years of Hans Christian Andersen, the life and legacy of infographics godfather Fritz Kahn, and the visual history of magic — are resurrecting Byrne’s gem in the lavish tome The First Six Books of the Elements of Euclid (public library), edited by Swiss polymath Werner Oechslin.

Proof of the Pythagorean theorem

A masterwork of art and science in equal measure, this newly rediscovered treasure mesmerizes the eye with its brightly colored circles, squares, and triangles while it tickles the brain with its mathematical magic.

Byrne’s The First Six Books of the Elements of Euclid is spectacular to both behold and absorb, offering superb stimulation for both sides of the brain. (Figuratively speaking, of course, for we know that the left-brain vs. right-brain divide is a dangerous myth.) Complement it with Youmans’s gorgeous diagrams of how chemistry works.

Images courtesy of Taschen

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