The solution is actually very simple.

"Noble Psychomaster, how do I perform this exploit?"
(don't call me that)




Bounce up the blimp, and shimmy on the crane until you get on top of the dam.




Play normally until you reach the skyscrapers where the Navy attack Goggalor.



Climb up the skyscraper that is closest to the island.

I should say that this exploit requires a reasonable level of precision. With that out of the way..

Jump off the tower, and then double jump. When you reach the peak of your double jump, start spamming your PSI blast. REALLY mash that button!

When you hit the water, you should bounce like this.



If executed correctly, the game should throw you right into the island where you fight with Kochamara.

When you come back, you may notice something different: You aren't in your brain anymore! You are in front of Thorney Towers Home for the Disturbed.


You can just leave by calling Linda to take you to the other side of the lake.

The way the game handles its saves is primitive. The level you are currently on is decided by a set of four characters. In the game's files, locate your save (0, 6[MAKE SURE YOU HAVE THE RIGHT ONE!!]) and change the characters on the second row to "loma". This puts you at the beginning of Lungfishopolis.