No CrossRef data available.
Article contents
The Hypercubical Dance - a solution to Abbott’s problem in Flatland ?
Published online by Cambridge University Press: 01 August 2016
Extract
Abbott’s Flatland (1884) [1] is the story of the encounter between a two-dimensional creature, a Square, and a visitor from space, a Sphere. The Sphere tries to convince the Square of the reality of the third dimension, but with little success at first. Finally, after several long conversations and a few other worldly demonstrations, the Sphere succeeds in making the Square see the light (or the height?), with rather unfortunate consequences for the poor Square. Flatland became a big hit in the years and decades after it came out, and continues to enjoy a robust reputation today. Much of the fallout generated by Flatland in the more than hundred years since it was written is documented in the annotated version of the book brought out by Stewart [2].
- Type
- Articles
- Information
- Copyright
- Copyright © The Mathematical Association 2007
References
1.
Square, A. (Abbott, E. A.), Flatland: A romance of many dimensions, Seeley & Co. (1884).Google Scholar
2.
Stewart, Ian, The Annotated Flatland by E.A.Abbott, Introduction and notes, Perseus Publishing, Cambridge, Mass. (2002).Google Scholar
3.
Greene, B., The elegant universe: Superstrings, hidden dimensions and the quest for the ultimate theory, W. W. Norton and Company (2003).Google Scholar
4.
Pickover, C. A., Surfing through hyperspace, Oxford University Press, New York (1999).Google Scholar
Robbin, T., Fourfield: computers, art and the 4th dimension, Bullfinch Press, Boston (1992).Google Scholar
Henderson, L. D., The fourth dimension and non-Euclidean geometry in modern art, Princeton University Press (1983).Google Scholar
5.
Beck, A., Bleicher, M. N. and Crowe, D. W., Excursions into mathematics, A. K. Peters, Natick, Mass. (2000) Ch. 1, Sec.5.Google Scholar