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We haven't really talked about the story of Project Blind, because obviously, we don't want to ruin anything. But I'll try my best to give you an overview.
The game is set on a transport spaceship that carries supplies from and to a city-sized science base. In the game, there are also four people being transported on it, one of them being the player, an ex-engineer who had a severe accident and lost his vision, and therefore his job. He is in a coma after the surgery that replaced his eyes with a machine.
The other three people are a newly retired doctor, a scammer lawyer and an insane designer. All three of them leave messages in their portable devices, which the player can check to find out more about them.
The spaceship has a crew of five people who keep the ship in check, while the ship carries them through space on a predefined path.
Among the cargo, there is a military experiment hidden, the result of an ongoing gene-modifying project. This creature wakes up from cryogenic sleep for unknown reasons, and breaks free.
The player wakes up after this happens. Most of his fellow passengers are dead, and he can only find out what happened by discovering clues and reading writings on the wall. The only other survivor has locked himself in the surveillance room, watching the player through the cameras, and he is the one leaving the messages.
The loose monster isn't the only thing standing in the way of exploring and fixing the ship. About eight minutes after the player wakes up, the ship enters an anomaly that resets time and the player wakes up again. Time goes back by about one and a half days, but the player always wakes up in the last minutes. By that time, the other survivor has changed what he could in the ship based on his own experience and the player's actions, to help the player progress, and locked himself in. For example, if the player rearranges a room to get to a valve to turn off the heating in the room, then the next day, the other survivor will have already exposed the valve for him. Of course, he won't repeat everything the player does, but he tries his best to help. This is why he writes the notes on the wall, although those can be misleading sometimes.
Ultimately, it is up to the player how many times the day repeats, and what the ship's fate will be.