- Sphereland
Sphereland is a 1965
novel byDionys Burger , and is a sequel toFlatland , a novel by "A Square" (a pen name ofEdwin Abbott Abbott ). The novel expands upon the social and mathematical foundations on which Flatland is based. It is markedly different from the first novel in that it has a more prosaic ending and treatment of society.Plot summary
The
Circle s (who are appointed aspriest s/leaders of Flatland due to their many sides, or an appearance thereof) do not take A Square's revelation about athird dimension to be accurate, and A Square is ostracized by his community. Then after some time,society becomes more open to the ideas of Spaceland and, overall, to change and advancement. However, when a prominent surveyor finds aTriangle with more than 180 degrees, he is fired from his job and generally considered a , since such a construction is not possible inEuclidian geometry . He eventually makes friends with the grandson of A Square, aHexagon , because he is amathematician andscientist . Together, they come upon atheory to explain the unusual measurements: they actually live on a very largesphere , and the Triangles have more than 180 degrees due to beinginscribed on a non-planar surface.With help from the
sphere from the first novel, they are able to prove this theory. However, the establishedscientific community is not able to comprehend the idea proposed by the two, and thus they do not attempt to enlighten Flatland. Furthermore, as the residents of Flatland advance, they begin to travel in space; they see distant worlds like their own, and the surveyor tries to find the distance between their world and these distant worlds, usingtrigonometry andradar . From his calculations, he and the hexagon determine that theuniverse is expanding; again they try to reveal this theory to the outside world, but again it is not accepted. Therefore, like his grandfather in the previous novel, the hexagon writes a book that is not to be opened until the theory of the expanding universe is discovered and accepted by others. Then they live a low-key existence without any more contact with the sphere.Purpose
As with "Flatland" itself, the Flatlanders' encounter with the third dimension are intended to encourage consideration of how higher dimensions would appear to us - specifically, the concept that the universe is the three-dimensional surface of a four-dimensional
hypersphere .Editions in print
*"Sphereland" appears in one edition bound back-to-back with Edwin A. Abbott's "Flatland", each novel thus having one of the two covers of the book; (1994), HarperCollins, ISBN 0-06-273276-5
ee also
*
4th dimension
Wikimedia Foundation. 2010.