Liquid Tensor Theory and Contemporary Art
Chapter 1

The pioneers who painted with code

Chapter 2

The million-dollar prompt

Chapter 3

When math becomes beautiful

Chapter 4

The battle for the soul of art

Ch 3 · When math becomes beautiful
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andy Computers verify Peter Scholze's liquid tensor theory

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andy Mathematician Terence Tao uses the Lean proof assistant to verify mathematics

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andy Mathematical Proof Art

We trace the lines of the Lean proof, and map out a glowing sunburst of truth!

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When math becomes beautiful
BETA

andy Match mathematical formulas to digital art to discover how AI turns code into masterpieces.

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Terence Tao and the Lean proof assistant

andy The Lean interactive theorem prover forces mathematicians to write proofs in precise code, turning abstract arguments into structured digital trees.

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Quiz

What is the primary purpose of a computer proof assistant like Lean?

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Quiz

Which interactive theorem prover did Fields Medalist Terence Tao use in 2023 to formalize a complex mathematical proof?

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Rigorous structure does not stifle beauty; it reveals it.

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The aesthetic beauty of mathematical proofs

andy AI formalizes elegant mathematical proofs to redefine the boundaries of contemporary art.

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Quiz

What artistic quality do mathematicians most frequently look for when evaluating a proof?

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Quiz

Which legendary mathematician popularized the concept of 'The Book' containing the most beautiful proofs in the universe?

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Fun Fact

Beautiful equations: Mathematicians' brains light up in the exact same emotional area when looking at 'beautiful' equations as artists' brains do when looking at fine art!

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Quiz

Who led the collaborative effort in 2021 to successfully formalize Peter Scholze's complex theorem in Lean?

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Quiz

In 2021, a global team formalized a key theorem from which mathematical theory proposed by Peter Scholze?

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Glossary
generative art (noun)
Art created through the use of an autonomous system, such as a computer program. In 1965, Georg Nees exhibited the first algorithmic drawings, proving that computer code can produce visual elegance.

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Quiz

When a mathematical proof is formalized in Lean, what does its visual network graph resemble?

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Quiz

What do the nodes in a visualized Lean proof network graph represent?

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Gossip

Which feels more like art: a complex equation or a simple doodle?

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