- A Kummer surface is any one of a one parameter family of algebraic surfaces defined by a specific polynomial equation of degree four.
A More Mathematical Explanation
- Note: understanding of this explanation requires: *Linear Algebra *Differential Geometry
The polynomial equation of degree four that describes a Kummer surfaces is:'"`UNIQ--math-00000000-Q [...]
The polynomial equation of degree four that describes a Kummer surfaces is: , where:
- is any real number,
- and .
The family was described originally by Ernst Eduard Kummer in 1864.
A Kummer surface has sixteen double points, the maximum possible for a surface of degree four in three-dimensional space. For the default case = 1.3, all these double points are real and they appear in the visualization as the vertices of five tetrahedra.
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