Kummer surface
The Kummer surfaces are a set of algebraic surfaces of order 4, which were first examined by Ernst Eduard Kummer (1810-1896).
Most of the Kummer surfaces have 16 singular points and just as many singular tangent planes . The singularities are simple double cones and 16 is the maximum number for singularities of a 4th order surface. The symmetries correspond to those of a regular tetrahedron . They are simple special cases of K3 surfaces and thus belong to the Calabi-Yau manifolds . The fresnel wave surface is a special subspecies.