Glue (addition, geometry)

Glue (addition, geometry)

Glue (MathPickle 2021) This geometric square-gluing puzzle is one of my best from 2021. The rules are simple (but probably best seen on the video rather than read): 1) Start with two 1×1 squares labelled “1.” 2) Glue a new square labelled with one...
Rooting for NASA (Cartesian, Pythagoras, Algorithm)

Rooting for NASA (Cartesian, Pythagoras, Algorithm)

Rooting for NASA (MathPickle, 2020) ReStudents can use Pythagoras to find all possible lengths of line segments on a grid. But what can you do with these line segments… Here are some ideas. They’re really just universes to explore. They look beautiful and...
Chomp – Cartesian game

Chomp – Cartesian game

Chomp! (Frederik Schuh, 1952)   Here is the game of chomp and a very preliminary sketch of a game to do with linear inequalities. The latter would be a fun class project to perfect – it is NOT good enough to play right now. Let me know of your ideas how to...
Hunting Submarines (vectors)

Hunting Submarines (vectors)

Hunting Submarines (John Costas, 1965) Costas arrays were part of submarine warfare and a great way to get practice with slopes. It is an unsolved problem of mathematics whether a Costas array exists for all nxn squares. The smallest square for which no answer is...
10 Points, 5 Lines, 4 Points on each Line

10 Points, 5 Lines, 4 Points on each Line

10 Points, 5 Lines, 4 Points on each Line (Henry Dudeney, 1917) Play with lines in a Cartesian coordinate system in this 1917 puzzle by the great puzzle-master Henry Dudeney. We must say that there are as many squares as there are numbers. Galileo Galilei Join the...