The Planiverse
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The Planiverse (ISBN 0387989161) is a novel by A. K. Dewdney, written in 1984. In the spirit of Edwin Abbott Abbott's Flatland, Dewdney and his computer science students designed a vertical 2D world (i.e. East-West and Up-Down, no N-S) and considered the issues of biology and society for the inhabitants.
To their surprise, they find their artificial 2D universe has accidentally become a means of communication with an actual 2D world - Arde. They make contact with Yendred, a highly philosophical Ardean, as he begins a rite of passage of Ardean society - "The Journey". Written as a travelogue, the protagonist Yendred crosses the world to reveal its features. The book has much more practical design and less social commentary than Flatland.
See also
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