The kissing number problem belongs to the realm of geometry. It’s intimately connected to sphere packing, lattices and spherical codes as well as various other branches of mathematics, such as group theory, Lie theory, optimization theory and the list goes on . In this short post, I’ll describe the problem itself with a bit of … More The Difficulty of Kissing
In this post, I describe the Coxeter projection of all five exceptional root systems. … More Coxeter Projection of Exceptional Root Systems
“The principle of least action stands superior to both (conservation of energy and conservation of momentum), even when considered together, and it appears to govern all the reversible processes of Nature” – Max Planck … More What’s the Shape of a Hanging Chain?
The classification of semisimple complex Lie algebras is regarded by many as a jewel of mathematics with such great contributors as Killing, Cartan, and Dynkin. … More E8: An Exceptionally Beautiful Piece of Mathematics