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An Algebraic Surface which can be represented implicitly by a polynomial of degree six in  ,
,  , and
, and  .  Examples
are the Barth Sextic and Boy Surface.
.  Examples
are the Barth Sextic and Boy Surface.
See also Algebraic Surface, Barth Sextic, Boy Surface, Cubic Surface, Decic Surface, Quadratic Surface, Quartic Surface
References
Catanese, F. and Ceresa, G.  ``Constructing Sextic Surfaces with a Given Number of Nodes.''  J. Pure Appl. Algebra 23,
  1-12, 1982.
 
Hunt, B.  ``Algebraic Surfaces.''  http://www.mathematik.uni-kl.de/~wwwagag/Galerie.html.