Generating Primitive Pythagorean Triplets

That is quite a title to unpack. It has been a while sense I've done something mathematical, and this week I found something really, really cool. So, I felt like sharing. First, a little background. Long ago, Pythagoras came up with a cool theorem that says that if you sum the squared sides of a … Continue reading Generating Primitive Pythagorean Triplets

The Magical 1 and 42

I stumbled upon a really cool mathematical anomaly that is easy to understand and can be appreciated by almost anyone. The game begins by starting with any whole number greater than zero. To illustrate, let's choose my birth year of 1977. Now, we will create a sequence from this number in the following way. Add … Continue reading The Magical 1 and 42

Mathematical Scavenger Hunt

Every Fall semester a colleague and myself develop a mathematical scavenger hunt for several competing high schools that come to visit our campus. This year, we chose the story "Ready Player One" as a theme with a final puzzle modeled from The Magical Labyrinth, a 2009¬†award winning game that involves a hidden maze of walls. … Continue reading Mathematical Scavenger Hunt

Gambler’s Ruin: A Lesson in Probability

The Riddler Express for Friday, February 23 was a gambler's ruin problem, so I thought I would walk you through the solution and show you how the following problem can be solved. Suppose you have one quarter, and I have two quarters.¬† Each round, a die is rolled. If a 1, 2, 3, or 4 … Continue reading Gambler’s Ruin: A Lesson in Probability