Hamiltonian Paths and Cycles

Sir William Rowan Hamilton was an Irish mathematician and the inventor of icosian calculus — which he used to…

Voronoi Diagrams and Delaunay Triangulations

Let us begin with a very real illustration, and try to build up the concept of…

The Seven Bridges of Königsberg

Which route would allow someone to cross all 7 bridges, without…

The Calkin-Wilf Tree

If you are a student of math, at some point you’d have been asked to show that…

Fibonacci Numbers and Some of its Applications

1. What is the Fibonacci Sequence?

Solving the Rubik’s cube using group theory

Do you remember the time when everyone was so obsessed with solving the cube? We…

Introduction to Markov Chains: An Intersection of Probability and Linear Algebra

What will the weather be tomorrow?

Whether it rains or not is a concern a lot of us have in our everyday life. A heavy rain can change how the rest of our day goes…