noun Geometry.
a surface generated by revolving a tractrix about its asymptote.

1885–90; pseudo- + sphere

pseudospherical [soo-duh-sfer-i-kuhl, -sfeer-] , adjective Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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It's a pseudosphere, the topological inverse of a normal sphere.
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