GPT-5.4 Pro cracked a conjecture in number theory that had stumped generations of mathematicians, using a proof strategy that ...

One of differential geometry’s most challenging problems has finally been solved after 150 years, with a closed surface Bonnet pair.

👉 Learn about parallel lines and a transversal theorems. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, ...

👉 Learn about parallel lines and a transversal theorems. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, ...

Suppose I showed you a box and asked you to guess what is inside, without providing any more details. You might think this is completely impossible, but the nature of the container provides some ...

Mathematical superintelligence startup Harmonic AI Inc. revealed today that NVentures, the venture capital arm of Nvidia Corp., was among the investors in its $120 million Series C round that was ...

Is the universe finite or infinite in extent? This question has been a preoccupation of philosophy for millenniums, and scientists continue to grapple with it. Wherever infinity appears, paradox looms ...

THE principal novelties in this tract are the chapters on the orthopole (with some original propositions by the author) and on orthogonal projection (mostly after Prof. Neuberg). A pretty theorem in ...

This is an updated version of a story first published on May 5, 2024. For many high school students returning to class, it may seem like geometry and trigonometry were created by the Greeks as a form ...

The original version of this story appeared in Quanta Magazine. In 1994, an earthquake of a proof shook up the mathematical world. The mathematician Andrew Wiles had finally settled Fermat’s Last ...

The Pythagorean theorem, a cornerstone of mathematics for millennia, provides a method for determining unknown sides in right-angled triangles using the formula a² + b² = c². Its applications extend ...

The Pythagorean Theorem, a cornerstone of geometry, empowers students to solve right triangle problems and unlock advanced mathematical concepts. Mastering this theorem enhances logical reasoning, ...