Wang's Carpets

Far in the distant, post-human future, the Cater-Zimmermann community set out to refute the theory that the universe is created exclusively for mankind by cloning themselves a thousand times over and sending each copy to a different star within the galaxy. One of the copies of Cater-Zimmermann, Paolo Venetti, arrives at Orpheus; a water-world inhabited by floating mats that perform as a Turing machine.