Topology
Theorema Egregium and Pizza Eating
How can Gauss improve your pizza eating technique?
Topology
Geometry
To 3D and Beyond
How many spatial dimensions do we live in? How many can we directly perceive? Are the two answers the same? If they are different, what effect, if any, do any higher dimensions have on us?
Knot Theory
To Be or Knot to Be
Hi everyone! As I mentioned in the last article about primes, this series is a place to learn about various STEM topics that I find
Fractal
Mandelbulb: Three Dimensional Fractals
Searching For The Mandelbrot In Higher Dimensions
Topology
Two Compactification Theorems
A Brief History of Spread-out Spaces.
Topology
The Hardest Math Problems
Six Difficult Ways of Becoming a Millionaire
Number Theory
Faltings’s Theorem and the Mordell Conjecture
On the number of rational solutions to polynomials.
Graph Theory
Solving the Königsberg Bridge Problem
This proof is accessible to ANYONE — no mathematics knowledge required! (perfect for if you are a bit bored and in isolation, like me…
Topology
The Hodge Conjecture
Get $1 million if you solve this math problem.
Poincaré
Henri’s Adventures in Phase Space
An Intuitive Approach to Topics in Dynamical Systems
Mathematics
What is Topology?
An entry-level primer on “rubber-sheet geometry”
Mathematics
The Poincaré Conjecture (1904)
The shape of the universe as it was, is now and may become in the future is very hard for us to discern empirically. Einstein helped us somewhat by showing us that matter and energy (three-dimensional phenomena) in fact may interact with the a four-dimensional phenomenon: time