Mathematics
The Pythagorean theorem isn't really about triangles — it's about the mirror symmetry of space. Here's how centuries of teaching stripped away its true meaning and an elegant proof that restores it.
Mathematics
An introduction to geometric algebra that unifies the dot product and cross product into a single elegant geometric product, revealing that vectors are best understood not as arrows but as mirrors for reflections.
Mathematics
In 2018, scientists discovered a new 3D geometric shape called the scutoid — a strange hybrid of a prism and a pyramid that epithelial cells use to efficiently pack curved tissue surfaces in living organisms.
Mathematics
On August 31, 2012, Japanese mathematician Shinichi Mochizuki quietly published a 512-page proof of the famous abc conjecture online. The mathematical community was electrified — and then stumped, because nobody could understand it.