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