One commentator here questioned why is this on HN (and was DVd somewhat) There is the fact that dad teaches stuff to daughter. The lesson is fun and interactive. The concepts dealt with are pretty profound and can be quite deep: constraints, maxima and minima. Well done dad - you've covered some complex stuff in a fun and accessible way. Good skills. If anyone else doubts why this is valid Hacker News, they may want…
Slamming my nerd card down so hard the whole table spins around It's hacker news, not motivational team building shared insight news. I'd expect a GA solver which selected the four pieces which could be constructed into the tallest possible structure (with all the dirty tricks e.g. a boat hull attached to a wobbly assemblage of Giant Base/wing plates with a 12x24 brick balanced on the top), with a Speculation section…
Personally speaking, I have no idea what a GA solver is but my initial solution would involve putting all the pieces on top of each other with their longest edges aligned - that's the maximum. Then we look at the constraints: gravity is a bit of a bugger. etc etc
Keep your card and open your mind. You might be a bright lad but you can still learn to look at problems from a fresh angle. The OP's daughter is in safe hands as far as I can see - she'll learn critical thinking and that is a real gift.
BTW: what is a GA solver?