Pentominoes
A domino consists of two squares. Pentominoes use five squares. Your task is to find all 12 of them.
The Anagram Dictionary
Nicholas Temperley, while a student at Cambridge, proposed that devotees of wordplay produce, as a working tool, an anagram dictionary.
This is my attempt.
Dissections
This fascinating field requires the geometer to dissect a shape (eg a square) into the smallest number of shapes that can be reaarranged into another shape (eg a hexagon).
The Monty Hall Problem
The Monty Hall Problem is a brain teaser, in the form of a probability puzzle, loosely based on the American television game show Let's Make a Deal and named after its original host, Monty Hall.
XOX
Artificial Intelligence has always fascinated me. Noughts and Crosses (Tic-Tac-Toe) is simple enough for us to do a little exploring in this area. It's also a chance to show off one of my favourite graphics from Magnetic Revisited.
Catch Questions
"A collection of short problems, presented in the hope of 'catching' as many readers as possible. Every one conceals some sort of joke. The reader is urged not to peek at the solution until he has made at least a semi-serious attempt."
Physics Puzzles
"These problems are not so much mathematical as they are problems combining logical reasoning with some knowledge (mostly elementary) of physical laws."
The Game of Life
John Conway's 1967 brainchild is a fantastic solitaire pastime he called "Life". It appears to simulate the rise, fall and alternations of a society of living organisms.