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De Divina Proportione - a book on mathematics written by Luca Pacioli and illustrated by Leonardo da Vinci, composed around 1498 in Milan and first printed in 1509

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Painting of the Renaissance geometer, Fra Luca Pacioli, by Jacopo de Barbari, 1495, Capodimonte Museum, Naples.(Detail)

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Whilst in Milan, Leonardo became very interested in Mathematics, also. He illustrated one of the first modern math books, done by a friend of his, Luca Pacioli.

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Leonardo Da Vinci illustrated Luca Pacioli’s “De Divina...

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Leonardo da Vinci drew the illustrations for Luca Pacioli's 1509 book De Divina Proportione (The Divine Proportion). Drawing of the truncated icosahedron, from the manuscript of the book.

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Detail showing rhombi-cuboctahedron in a painting of the mathematician Luca Pacioli by Jacopo de Barbari (1495)

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Luca Pacioli (1445 - 1514, sometimes "Paciolo") is the central figure in this painting (by Jacopo de Barbari*, 1495). Perhaps no other work so epitomizes the deep Renaissance connection between art and mathematics. Pacioli (a Franciscan friar, shown in his robes) stands at a table filled with geometrical tools (slate, chalk, compass, dodecahedron model, etc.), illustrating a theorem from Euclid, while examining a beautiful glass rhombicuboctahedron half-filled with water.

from art.com

Stella Octangula, from "De Divina Proportione" by Luca Pacioli, Published 1509, Venice

Stella Octangula from "De Divina Proportione" by Luca Pacioli Published 1509 Venice by Leonardo Da Vinci

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Leonardo da Vinci drew the illustrations for Luca Pacioli's 1509 book De Divina Proportione (The Divine Proportion). Drawing of the Duodecedron Abscisus Elevatus Vacuus, consisting of 120 equilateral triangles, from the manuscript of the book.

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Luca Pacioli, cabeza inscrita en una cuadrícula geométrica del De Divina Proportione, Venecia.

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