Tomorrow I'm giving a maths talk to a load of 15/16 year olds. It's a talk I last gave in 2014, so I've updated it a bit.
I've put my slides online at
What do you think? (Obviously you don't know what I'll say about them!)

Maybe in introducing graphs emphasize that (in a drawing) crossing edges don't mean anything?

Your definition of platonic solids is a little too permissive: it needs that all the faces are the same.

The graph app doesn't work for me either on desktop windows chrome, but does work on mobile firefox.

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