Explore a shape that can’t pass through itself, a teenage prodigy, and two new kinds of infinity.

• At 17, Hannah Cairo Solved a Major Math Mystery
• ‘Ten Martini’ Proof Uses Number Theory To Explain Quantum Fractals
• Years After the Early Death of a Math Genius, Her Ideas Gain New Life
• Is Mathematics Mostly Chaos or Mostly Order?
• Rational or Not? This Basic Math Question Took Decades To Answer.
• First Shape Found That Can’t Pass Through Itself

...read more at quantamagazine.org