>> If it makes you feel any better, I missed those too initially...
> 
> No I don't ;)
> 
> Yet, Tom got one more and nemesis even two.
> Where would those be?

Double-counted perhaps?

I posted a table with all the 24 combinations I've found. If anybody can 
find a valid triangle that isn't in that table *then* I'll call it a 
counter-example. ;-)

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