Networks and Nodes
Could you draw the shapes without removing your pencil from the paper. Which ones were possible and which ones impossible?
These are the networks that Mithran, who is from Australia, could follow. He has sent in his results and shown with arrows the path that he took in completing the shapes. Try some for yourself.
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Redblue
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?
Hamilton's Puzzle
I start my journey in Rio de Janeiro and visit all the cities as Hamilton described, passing through Canberra before Madrid, and then returning to Rio. What route could I have taken?
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.