The Fourth Dimension and Non-Euclidean Geometry in Modern Art

[Lawrence Bryan]

For an interesting and light read on the problems one might encounter  
going the other way dimensionally, read Rudy Rucker's Spaceland,  
where some poor soul finds himself sucked into a fourth dimension.  
Rudy was, until he retired a couple of years ago, a professor of  
mathematics at San Jose State University. He has written many  
Cyberpunk SF books, ala Gibson, as well as popularizations of some  
aspects of mathematical dimensions such as "Infinity and Mind".  I've  
never asked him but I suspect he's a Pynchon fan.

On Apr 8, 2007, at 4:19 PM, Dave Monroe wrote:

 From Linda Dalrymple Henderson, The Fourth Dimension and Non-Euclidean
Geometry in Modern Art (Princeton, NJ: Princeton UP, 1983), Ch. 1,
"Nineteenth-Century Background," pp. 3-43 ...

<Some deletions to save bandwidth...>

   From a survey of Sommervile's Bibliography of Non-Euclidean
Geometry, Including ... Space of n Dimensions, England in the 1870s
emerges as the first center of active concern with the number of
dimensions of space.  This decade of development culminated in 1884
with the publication of E.A. Abbott's Flatland .... (p.17)


Citing ...

Abbott, E.A.  Flatland: A Romance of Many Dimensions (1884)

http://www.ibiblio.org/eldritch/eaa/FL.HTM
http://www.gutenberg.org/ebooks/201
http://www.der.org/films/flatland.html
http://xahlee.org/flatland/index.html
http://en.wikipedia.org/wiki/Flatland

Sommerville, Duncan M.Y.  Bibliography of non-Euclidean Geometry,
   including the Theory of Parallels, the Foundations of Geometry and
   Space of n Dimensions.  London: Harrison and Sons, 1911.