And pointing people in the direction of "Lisa's robot buddy" (Stephen Hawking) is definitely the way to them interested in physics.
I think that your definition of a singularity could have been slightly better illustrated by using 'infinite mass, zero diameter' as an example, but what the heck.
Now, how's about tackling 'Fermat'? Then I can retire gracefully to third man.
Nigel Clough's Black and White Army, beating Forest away with 10 men