## Geometric Data for Triply Periodic Minimal Surfaces in Spaces of Constant
Curvature

in: Geometric Analysis and Computer Graphics, P. Concus, D. Hoffman, R. Finn
(Eds.) 1991.

Konrad Polthier

### Abstract

In this note we describe the use of geometric data for the construction of
triply periodic minimal surfaces in R^{3}, S^{3}, and H^{3}.
With a conjugate surface construction we obtain the Plateau solution of a
fundamental piece for the symmetry group of the minimal surface. For some
examples in R^{3} a method of H. Karcher and M. Wohlgemuth has led to
the Weierstraß formula.

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