Posts

Showing posts with the label algorithms

Pocket Cube Remix

Image
Today we'll look at some reconfigurations of the 2x2x2 Rubik's cube that allow for different explorations and lower the floor.

Counterfeit Coin Puzzles

Image
Daniel Kline has been playing around with an in-person version of Panning for Gold and was wondering what other puzzle variants could be done on a balance scale. This post is an attempt to answer that question!

Pancake Flipping

Image
Today we'll look at a puzzle set based on a classic problem about flipping pancakes.

Cutting Boards

Image
It's tough coming up with a good activity that deals with numbers or geometry in a continuous way, since it usually requires a good amount of prerequisite knowledge. Today's activity is a set of discrete puzzles inspired by a continuous result colloquially known as the ham sandwich theorem.

The Pocket Cube

Image
Rubik's cubes have a strange place in our pop culture as artifacts that only geniuses can solve, but the many guides on solving them have made solution techniques pretty accessible to a wide audience. Mathematicians like them because they provide a shiny introduction to group theory that leave students with a neat party trick. Today we'll look at the "pocket cube" (the 2x2x2 version, typically abbreviated 2x2), which I've had good luck introducing to beginners.