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This shows (the real coordinate points of) Kummer's surface drawn with
the symbolic manipulation program Mathematica. Kummer's surface is known
as a quartic surface in the complex three dimensional projective space
with sixteen double points. It plays a very important role in the theory
of K3 surfaces. The symmetry corresponding to the cube hidden in the central part strikes us. However, few persons could foresee it only with its defining equation: |
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| Now, it is generally thought that Kummer's surface is not one surface but a family of surfaces depending on three parameters. The above defining equation is the most typical one in them. We used a special package ImplicitPlot3D.m by Steven Wilkinson for drawing this picture. |
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