This 180-sided object cannot fit through another like it, no matter where you bore the hole or how you tilt it.

Diameter (d) is the distance across the circle through the center. Since the diameter passes through the center and connects ...

Neste artigo, apresenta-se a evolução das ideias sobre a quarta dimensão espacial, partindo daquelas que surgem da geometria euclidiana clássica e abordando, em seguida, as que resultam do âmbito das ...

Source: ChatGPT modified by NostaLab. For years, I’ve been exploring artificial intelligence, not just as a technological advance, but as a lens into something more foundational. This journey has ...

A year ago AlphaGeometry, an artificial-intelligence (AI) problem solver created by Google DeepMind, surprised the world by performing at the level of silver medallists in the International ...

An AI system developed by Google DeepMind, Google’s leading AI research lab, appears to have surpassed the average gold medalist in solving geometry problems in an international mathematics ...

Mathematicians recently gathered for a workshop in Canada a to thrash out ideas inspired by a breakthrough a pair of researchers made in 2023 on a conjecture by Paul Erdős. The pair’s success at ...

Rutgers professor’s proofs will provide deeper understanding of math mysteries and may lead to advances in science and technology A Rutgers University-New Brunswick professor who has devoted his ...

MR. FRANKLAND (NATURE, September 7) has raised the old problem of Bertrand's proof of the parallel-axiom by a consideration of infinite areas. This is perhaps the most subtle and the most specious of ...

In the vast world of geometry and art, there are figures that challenge our perception and understanding of space. One of these figures is the Penrose Triangle, also known as the Tribar. This object, ...

Unlock the full InfoQ experience by logging in! Stay updated with your favorite authors and topics, engage with content, and download exclusive resources. This article dives into the happens-before ...