Shinier still. drswirly has found a much better proof of my geometric theorem than mine, and in particular his proof demonstrates that the polygon doesn't need to be regular – it only has to be convex and have all sides the same length. Very pretty.

(Someone pointed out that I wrote ‘shortest distance’ where I meant ‘perpendicular distance’, as well. Each edge of the polygon should be considered to be extended as far as necessary.)

I should shut up about maths, really. Particularly since I've been doing maths at work for a few weeks and it's been quite stressful, and to my immense relief it all started working properly today so I can take a break and do something less taxing, so quite why I'm now wibbling on about maths in this diary for fun is beyond me.

Anyway. This evening is supposed to contain sofa therapy, so I shall return to the sofa.