Woooah, I was so close to beating it with the freaking warp core equipped, because apparently it has to be in order to upgrade it. Guess I'm not getting whatever that does.
For anyone after that hard badge that should actually be an impossible badge, I found a setup of red hull, 4 rockets, 2 laser ship mods, the healing bomb, 3 slow+armour down weapon mods, and one acid weapon mod to be effective. I used one heal on wave 15, one on wave 21, and one on wave 25.
I call bs. There's no way the fifth boss is easier to dodge than the fourth and the only hope I ever have against the fifth is to use five big bombs at the very beginning to at least get 25% off and die before 50% anyway.
Okay, no one ask me how I did it, but I somehow beat Hyperion on my first try. I forgot to switch to the healing bombs, nearly died halfway through, and used the red hull with four rocket weapons, a shield, and each weapon having the splitter and homing mod.
Doubles the number of coins you get and each coin is worth the same number of points, so it effectively doubles the score from coins if you want to look at it that way.
@Sandalman3000, The only part of the village I find kind of annoying is when you jump something, end up next to a wall, there's a lankie toward the middle right after, then an enemy against the wall and sometimes a scroll right beside it, then the middle exits. I've lost my combo there trying to get the scroll more than a few times.
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 "Reactance 2"){kind=icon}
 "Ninja Slash"){kind=icon}
 "Caribbean Admiral"){kind=icon}