The Basics of Set Theory Explained

Set theory is the fundamental language of mathematics, describing and organizing collections of objects called sets. A set is usually denoted with braces. For…

Read More

Unsolved Geometry – The Lebesgue Universal Covering Problem Explained

Imagine you are working in 2D and you have some kind of convex shape that can contain any shape with a diameter of one….

Read More

The Surface Hidden Inside Every Knot – Seifert Surfaces Explained

A Seifert surface, named after German mathematician Herbert Seifert, is an orientable surface whose boundary is a knot or link. The Simplest ExampleSeifert Surfaces…

Read More

Spacetime – The 4th Dimension

The fourth dimension arises by adding time to the three spatial dimensions. In 1905, Albert Einstein formulated the special theory of relativity and proposed…

Read More

The Infinity Paradox of Hilbert’s Hotel

Here’s your formatted article: Hilbert’s Hotel: The Hotel That Is Always Full but Never Out of Room One New Guest Infinitely Many New Guests…

Read More

Unsolved Geometry – Ullmans Packing Problem Explained

Ulam’s Packing Conjecture: Why Spheres Are the Worst Packers Packing Density The Conjecture Why Is This So Hard to Prove? Ulam’s Packing Conjecture: Why…

Read More

Discrete Mathematics Explained in 54 Seconds

Here’s your formatted article: Discrete Mathematics: The Math Behind Computation The Pillars of Discrete Mathematics Why Does Discrete Mathematics Matter? Discrete mathematics studies structures…

Read More

The Golden Ratio Explained

The Golden Ratio: Nature’s Perfect Proportion The Golden Ratio in Nature The Golden Ratio in Art and Design A Number That Never Ends The…

Read More

The Series Rearrangement Paradox

The Riemann Series Theorem The Key Idea Why Does This Matter? The Riemann Series Theorem The Riemann series theorem, named for and rigorously proved…

Read More