''WHAT TO READ IN 2025'' FINANCIAL TIMES Many of the artists that we encounter are completely unaware of the mathematics that bubble beneath their craft, while some consciously use it for inspiration. Our instincts might tell us that these two subjects are incompatible forces with nothing in common - mathematics being the realm of precise logic and art being the realm of emotion and aesthetics - but what if we''re wrong? Blueprints asks us to consider that mathematics and art may not be polar opposites after all. Their complementary relationship spans a vast historical and geographic landscape, from the earliest stone circles to Mozart''s obsession with numbers and the radically modern architecture of Zaha Hadid. Whether we are searching for meaning in an abstract painting or finding patterns in poetry, there are blueprints everywhere: symmetry, prime numbers, the golden ratio and more. In this bold and philosophical exploration of human creativity, Marcus du Sautoy unpacks how we make art, why a creative mindset is vital for discovering new mathematics, and how a fundamental connection to the natural world intrinsically links these two subjects.

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Marcus du Sautoy

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A Financial Times and Waterstones Book of the Year 2025

Many artists are unaware of the mathematics that bubble beneath their craft, while some consciously use it for inspiration. Our instincts might tell us that these two subjects are incompatible forces with nothing in common, but what if we're wrong?

Marcus du Sautoy, acclaimed mathematician and Simonyi Professor for the Public Understanding of Science at the University of Oxford, looks to art, music, design and literature to uncover the key mathematical structures that underpin both human creativity and the natural world.

Blueprints takes us from the earliest stone circles to the modernist architecture of Le Corbusier, from Bach's circular compositions to Radiohead's disruptive soundscapes, and from Shakespeare's hidden numerical clues to the Dada artists who embraced randomness. Instead of polar opposites we find a complementary relationship that spans a vast historical and geographic landscape.

Whether we are searching for meaning in an abstract painting or deciphering poetry, there are blueprints everywhere: prime numbers, symmetry, fractals and the weirder worlds of Hamiltonian cycles and hyperbolic geometry. Nature similarly exploits these structures to achieve the wonders of our universe.

In this innovative and delightfully bold exploration of creativity, Marcus explains how we make art, why a creative mindset is vital for discovering new mathematics and how a fundamental connection to the natural world intrinsically links these two subjects.

'Blueprints is an extraordinary book which shows us how mathematics and art are connected through structures. Du Sautoy shows us how to bridge the divide of science and the humanities and proves that we can only face and solve the big challenges of the twenty-first century if we go beyond the fear of pooling knowledge' Hans Ulrich Obrist, Artistic Director, Serpentine Galleries