WOLFRAM|DEMONSTRATIONS PROJECT

Chen-Gackstatter Surfaces

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surface
Chen-Gackstatter
view
color
k
3
The Chen–Gackstatter surfaces, constructed in 1982, are a family of complete orientable minimal surfaces of
3

that generalize Enneper's minimal surface by adding handles that increase its topological genus or by adding
k
-fold dihedral symmetry. In cases with genus values greater than one, the formulas for the surfaces involve generalized hypergeometric functions.