What are Knots?

Knot so humble beginnings  Knot Theory is a relatively new field of mathematics, and an active realm of contemporary research. It all began from a misconception in the early 1800s. Lord Kelvin theorized that different types of matter corresponded with different knots of ether. Ether was theorized to be a substance which pervaded all space …

5 Points on a Sphere

Choose any 5 cities on Planet Earth. It is possible to cut the Earth exactly in half, such that the half including the slice (or boundary) contains 4 of the 5 cities. Can you prove it? Often mathematical problems are easier to solve when we abstract. Abstracting is when you remove all information that will …