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hyperbolic plane

   Also found in: Wikipedia 0.02 sec.
hyperbolic plane [¦hī·pər‚bäl·ik ′plān]
(mathematics)
A two-dimensional vector spaceEon which there is a nondegenerate, symmetric or alternating form ƒ(x,y) such that there exists a nonzero elementwinEfor which ƒ(w,w) = 0.


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One mathematician's crocheted models of a counter-intuitive shape called a hyperbolic plane are enabling her students and fellow mathematicians to gain new insight into startling properties.
Picturing what the hyperbolic plane looks like on a larger scale, however, requires some mind-bending ingenuity.
 
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