Zero Dimensional Space Explained

Zero dimension corresponds to the point, defined since antiquity as the entity without length, width, or depth. Euclid described it in his work Elements…

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The Kissing Number Problem Explained

A broad category of problems in math are called sphere packing problems. They range from pure math to practical questions like figuring out how…

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Escaping a Forest with Math – Bellman's Lost in a Forest Problem

Imagine being lost in a forest. You do not know where you are or what direction you are facing, but you do know the…

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The Most Jagged Function in Math – The Weierstrass Function

For a long time, mathematicians assumed that no function could be continuous everywhere and differentiable nowhere. The Weierstrass function proved them wrong. Discovery A…

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The Conjecture Unsolved Since 1742

Goldbach’s Conjecture A Problem Born from Letters Why Can’t We Prove It? Goldbach’s Conjecture Goldbach’s conjecture, one of the greatest unsolved mysteries in math,…

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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…

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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….

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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…

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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…

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