Picasso’s Cuboids (volume puzzle)

Picasso’s Cuboids (volume puzzle)

Picasso’s cuboid puzzle uses volume in an unequal battle between a Greedy and Generous Cuboid. 20 can be written as the sum of the volumes of two cuboids… a Greedy one and a Generous one… All three dimensions of the Greedy Cuboid {3,3,2} are at least as...
Pinocchio’s Playmates (pattern puzzle)

Pinocchio’s Playmates (pattern puzzle)

The Adventures of Pinocchio were written by Carlo Collodi in 1883. This puzzle was inspired by imagining Pinocchio’s classroom – full of little people who always lied or always told the truth. In one of his classroom the truth teller students and liar...
ConHex (strategy game)

ConHex (strategy game)

ConHex (Michail Antonow, 2002) ConHex is a pencil and paper game curricular for students learning about perimeter, but the most important reason to play any game like this is to get students thinking rigorously as they try to beat one another. As with most connection...
Irreptiles (proportion, similar shapes)

Irreptiles (proportion, similar shapes)

Can you tile this big L shape with identical, but smaller copies of itself? If so, the shape is called a rep-tile (repeating tile). However, that’s not what we are going to be looking at here. We are going to explore “irreptiles” which are shapes...