B Curious
Start free
Mathematics

Shape, Space and Symmetry

The axiom you can refuse, the doughnut and the cup, and what stays the same

Euclid · Euler · Noether · 3 chapters · 11 min read

The axiom you can refuse, the doughnut and the cup, and what stays the same.

Free to read: every chapter below is open

Space

  1. 01The Axiom You Can RefuseOn two thousand years of trying to prove an axiom, and what the failure was.
  2. 02The Coffee Cup and the DoughnutOn seven bridges, a tube map, and what survives being stretched.
  3. 03What Stays the SameOn what a symmetry is, why the quintic has no formula, and Noether's theorem.