Symmetrized Chen-Gackstatter (3-level, genus 3(k-1))
Symmetrized Chen-Gackstatter (3-level, genus 3(k-1)) is a minimal surface, given by a Weierstrass representation, immersed.
Open Symmetrized Chen-Gackstatter (3-level, genus 3(k-1)) in the interactive viewer →
aperiodic def-weierstrass immersed implemented minimal tradition-classical
Properties
- Family
- minimal
- Given by
- a Weierstrass representation
- Curvature
- zero mean curvature
- Periodicity
- not periodic
- Ends
- 0
- Embedding
- immersed
- Fidelity
- exact
- Exactness
- numerical-integral
Definition
No (g, dh) pair is stored: the shipped row is built by the dedicated mesher we.symmcg_mesh (a torus/branched-cover or multi-patch assembly); no elementary (g, dh) pair on a plane domain is stored in the code. The shipped implementation is authoritative; an unverified transcription would silently define a different surface.
Sources
Derived from the Math Art generator registries and cross-referenced to the literature; not transcribed from any gallery's compilation.
- M. J. Callahan, D. Hoffman, W. H. Meeks III, "Embedded minimal surfaces with an infinite number of ends", Invent. Math. 96 (1989) 459-505;
- M. Weber, https://minimalsurfaces.blog/ (Callahan-Hoffman-Meeks surfaces; the CHM-(1,1) notebook).