Haha i just had to worse death ever. Meltie, Inkie, Biter, and a torchie bump into me all at once (totally depleting my Hazard Suit), killing my Reactive Armor, and I melt to death.
I will agree this game is partially luck based... sides of the tower do typically fall over without warning. Heres a few tips to keeping your tower up:
1. Avoid Columns, keep it nicely stacked
ontop of eachother
2. If a column of the tower gets to about 6+ blocks below the rest, don't try to save it.
found a bug on the first bonus level. I got a line the finish just as a shape hit it, but the line stayed up and the shape just floated by and off the screen haha