Gemini 3.7 Flash, Kimi K3, Claude Opus 5, and GPT 5.6
Created w/ usecrayon, threejs and opus 5!
Claude Opus 5 writes this formula in 10 seconds.
Leibniz and Bernoulli fought over it for 50 years, and Euler had to write 133 pages to settle it. The question was what 2 raised to the square root of −1 even means. The answer: an imaginary exponent doesn't grow, it rotates.
Claude Opus 5 and GPT-5 will both solve this with a full integral over a sphere.
Neither finds the 30-second answer, and Cauchy needed 11 pages of handwritten notes in 1832. The average shadow of a cube is exactly one quarter of its surface area. One student grinds the calculus.
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