Mathematicians have long wondered how “shapes of constant width” behave in higher dimensions. A surprisingly simple construction has given them an answer. In 1986, after the space shuttle Challenger ...

The same researchers behind the 13-sided "hat" shape have stumbled upon a version that improves upon the original in a very important way. Reading time 2 minutes In March, a group of mathematicians ...

Infinitely many copies of a 13-sided shape can be arranged with no overlaps or gaps in a pattern that never repeats. David Smith, Joseph Samuel Myers, Craig S. Kaplan and Chaim Goodman-Strauss (CC BY ...

What does it take to solve hard problems: There are 3 things essential to problem solving. The right paradigm Pattern recognition Insight The right paradigm: This is the most important part about ...

Google's second generation of its AI mathematics system combines a language model with a symbolic engine to solve complex geometry problems better than International Mathematical Olympiad (IMO) gold ...

The ability to solve complex problems effectively has become a defining factor for success. Yet, despite the abundance of tools and methodologies available, I've noticed organizations often struggle ...