Intuition

The Music of The Shattered Spheres

That Mathematics can see its own limitations is part of its…

The Sublime Perfection and Beauty of Imperfection

Kurt Gödel and the loneliness and joy of being a…

Trisecting Angles and Higher Dimensional Numbers

Why can the Reals only be extended to Number "Fields"…

Intuitive exploration of how gravity near black holes could accelerate time and influence entropy dynamics

The Magnificent Octonions: When Do Equations Lose Information?

… and the amazing woman, Ruth Moufang…

Honey -> Hydrogen?

I had the idea to look at honey as a possible replacement for gasoline, but in exploring that idea, I stumbled upon this. The…

Statistics and mathematics

Statistics: Time Series Analysis — Compilation of the fundamental concepts

Topological Magic: Bizarre Twists in Space

The exquisitely beautiful Hopf Fibration and the…

Physics

Topological Magic: Formal Tricks to Increase our Mathematical Imagination