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 symbolism of keys often includes themes such as finding clarity, gaining access, and having the ability to tap into your ...

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 ...