Hamilton's Puzzle
From Rio, where could you go next? Can you find a route using each of these second stops?
Starting at Australia, where can you go next? Can you choose one of these second countries and decide what the possibilities are now?
Might it help to record the routes?
How will you make sure you have found them all?
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Investigate the number of paths you can take from one vertex to another in these 3D shapes. Is it possible to take an odd number and an even number of paths to the same vertex?
Networks and Nodes
Without taking your pencil off the paper or going over a line or passing through one of the points twice, can you follow each of the networks?
Sprouts Explained
This article invites you to get familiar with a strategic game called "sprouts". The game is simple enough for younger children to understand, and has also provided experienced mathematicians with significant food for thought.