Mathematicians have finally solved a geometry problem that has puzzled the field for decades. ... But if you hold the needle up in 3D space and try to rotate it in all directions, ...

The Kakeya conjecture in 3D, a longstanding geometric problem, has been resolved, demonstrating that Kakeya sets, while potentially having zero volume, must be three-dimensional.

The system, called "AlphaGeometry2" (AG2), is an advanced AI framework capable of solving 84% of geometry problems posed in the International Mathematical Olympiad (IMO).

Google DeepMind's AlphaGeometry2 AI system has surpassed human gold medalists in solving complex geometry problems, marking a significant breakthrough in AI's problem-solving abilities.

Google is rolling out new capabilities to Search and Lens that will assist in solving complex math and science problems. These new tools provide step-by-step explanations, solutions, and ...

This problem has one foot in geometry, since we're working with the shape of a brain, ... “In early work, colleagues at the University of Massachusetts took virtual snapshots of 3d shapes, ...

Mathematicians Wrote a Proof for a 100-Year-Old Problem—and May Have Just Changed Geometry The work has been deemed “spectacular progress” by giants of the field. By Caroline Delbert ...

Mathematicians have finally solved a geometry problem that has puzzled the field for decades. ... But if you hold the needle up in 3D space and try to rotate it in all directions, ...

The DeepMind researchers noted that AG2's drawbacks lie in its longer processing time, and that it can’t handle the most challenging IMO geometry problems in 3D geometry, non-linear equations ...