The Dark Museum is an area accessible from Geometry World through the door in the last block of the row of blocks.
Features
This area is much like the ordinary Museum with a similar layout, however it has maroon carpets, almost rustic-looking walls that sometimes have images on them, larger doorways and tables and chairs dotted around.
This area is also completely dark and is impossible to navigate through without the Lantern Effect, and even then you can only see so far in front of you, so you may have to keep pressing the Action button in order to get a good look at what's around you.
You can enter this area from Japan Town through the red mailbox, however you will be stuck on a pedestal with no way to get off again aside from teleporting back to Japan Town.
By going up into the doorway pictured (it is near the entrance), going left to the next doorway, and travelling up and left in the same room, you should find a yellow ticket booth portal. By entering the ticket booth, you will be teleported to Flying Fish World.
Beware: In the same room with the ticket booth, if you go through the upper-middle door, then go all the way right, you will find a quite unsettling, animated bloody face on the wall.
There's also a way to get to the normal Museum from here. Just go to to room with the big Buddha statue, turn on the switch, go into the room at the right end of the place with the ticket booth (the one with the construction sign), and use the Glasses Effect. Then you have to interact with the potted plant that changed (it will be difficult, because you will have to do it in the dark), and you will be teleported to the Museum. It will be dark and you won't be able to iluminate it with the Lantern Effect. The only way to turn on the lights is using one of the switches in the exhibition rooms.