Puzzle – Cantor's Archive
Puzzle
Forever Lost Within Reach
The Lost Twins Experiment
Chess
Chess and Mathematics
At first glance, these two disciplines may seem unrelated. However, mathematics and chess have a large amount of unexpected connections.
Puzzle
Heron’s Shortest Path Problem
Which path minimizes the distance needed to get water and then transport it to the green village?
Puzzle
This Math Trick Only Works for Everyone at the End of the Year
So it’s the perfect way to usher in the new year
Puzzle
A Quick Mathematical Puzzle: Calendar Dice
What numbers do they need to contain to display all days of the month?
Probability Theory
The Two Envelopes Problem or Necktie Paradox
Should I switch or should I stay? The Switching Paradox
Analysis
The Chessboard Puzzle and the Mathematics of Invariants
Here we crack a tricky yet simple problem at the intersection of computer science and mathematics. It also gives a lovely insight into how…
Chess
A Fascinating Prisoner’s Puzzle
Exploring different approaches to this seemingly impossible problem reveals some interesting connections between various branches of maths

Group Theory
The Power of Invariants
We can find invariants in many branches of mathematics. Let us try to use the theory of invariants to solve a few popular brainteasers.
Group Theory
The Rubik’s Icosahedron and the Mathieu Group M12
Modeling this construction using GAP

Mathematics
How to solve the Rubik’s Cube
Learn how to solve the “impossible puzzle” in eight simple steps