Great game. I like that size influence more than one thing. I think a player is too slow, which makes repeating level, after you do something wrong painful and boring.
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You're right, my original thought was to not make the player too fast to avoid scenarios where it was uncertain if you failed because you went with the wrong approach or if you just weren't fast enough but I we didn't end up adding puzzles where that could've even been the case so I probably could've increased move speed by another 40-70% or so without it feeling inappropriate.