Togliatti surface

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The surface with w=1 (real points, bounded by a sphere with radius=6).

In algebraic geometry, a Togliatti surface is a surface of degree five with 31 nodes. The first examples were constructed by Eugenio G. Togliatti (1940). Beauville (1980) proved that 31 is the maximum possible number of nodes for a surface of this degree, showing this example to be optimal.

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