Miegakure

Miegakure is a puzzle platform indie video game in 4 dimensions. It tries to explore the fourth dimension in the same way that a two dimensional being would explore the third.

History
Miegakure was popularized by an xkcd webcomic, which compared the game to Edwin Abbot Abbot's book Flatland, a strong inspiration for the game.

Gameplay
The game is based in three-dimensional space. With the touch of a button, the player can transform one of the dimensions into another from the fourth dimension. This allows a player to go 'through' walls, look into them, and do various other things that would be impossible in three-dimensional space.

The game is currently in development, and no demo version has been publicly released as yet.