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Chief geometer Jean des Garets said the shrinking could have been caused by less rain this summer.

Like the ancient geometer Euclid, the neural net had somehow intuitively discerned a mathematical truth, but the logical “why” of it was far from obvious.

“When you try to build a curved object out of flat material, there’s always a fundamental tension,” said Keenan Crane, a geometer and professor of computer science at Carnegie Mellon University.

He used his stay in prison to reinvent the concept of a point at infinity, and combining it with Monge’s work, he became the first true projective geometer.

That feeling of mystical revelation — of a shimmering, underlying order that we can apprehend if we purify our perception — might explain the mutual affinity between poets and geometers.