The Hairy Ball Theorem revisited – a newer, shorter, proof

Once proved, mathematical theorems* tend to stay proved. Nevertheless, they can sometimes still be improved – say, by making them shorter. Take, for example proofs for The Hairy Ball Theorem. Mathematician Henri Poincaré first drew attention to the Hairy Ball Theorem in 1885 with his treatise ‘Sur les courbes définies par les équations différentielles (III)’ Journal de […]

Improving our understanding of Bamboozle Structures

It’s not everyday that a newly discovered 3-D mathematical concept appears on the topological horizon. But one did in 2012. It’s called the Bamboozle Structure. “Bamboozle consists of 51 equilateral triangles, meeting pairwise at an angle of about 70.5 degrees (arccos 1/3).” It seems that topologists haven’t given a great deal of consideration to Bamboozle […]

Improbable Research