Luca Pacioli would play a major role in the life of Leonardo da Vinci, who used his mathematical knowledge both to depict polyhedra and to improve techniques of perspective drawing.
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Interest-rate and monthly-payment problems are hard for our brains to grasp, because we struggle to picture an exponential phenomenon. During the Renaissance, however, trade expanded, bringing with it a growing need for calculations of this kind. This led to the development of new shortcuts.
Leonardo da Vinci studied mathematics with Luca Pacioli, the greatest mathematician of the age. But the pupil soon surpassed the master! The artist-geometer's depictions of polyhedron nets upend some firmly held beliefs about the Renaissance.
Artist, genius and gifted inventor, Leonardo da Vinci was a visionary. In a world only just emerging from the Middle Ages, and long before René Descartes, he understood the importance of the scientific method and the role of mathematics in understanding the world.
Among Leonardo da Vinci's many talents, his ability to reveal the many facets of perspective—all explored in his work—was by no means the least. Having mastered vanishing-point perspective, he went on to explore atmospheric perspective and then the technique of sfumato.
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