Some fish are impossible to catch, not because they are strong or fast swimmers, but because they are unique. If you believe in such fish, then you might believe in the witch with a false eye that can see the future, the lonely giant, the sunny ghost town, the conjoined twin singers, and love at first sight.

The story of the film is set in the mid-21st century and follows a young man named Lincoln 6E who lives in what appears to be a utopian community. He dreams of being chosen as a visitor to the "Mysterious Island" because it is said to be the only uncontaminated land on the planet.