Starfish 2-4 Surface (genus 79)
Starfish 2-4 Surface (genus 79) is a triply periodic minimal surface, given by a Weierstrass representation, genus 79, embedded, with a crystallographic group.
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def-weierstrass embedded implemented minimal minimal-periodic tradition-crystallographic triply-periodic
Properties
- Family
- minimal-periodic
- Given by
- a Weierstrass representation
- Curvature
- zero mean curvature
- Periodicity
- triply periodic
- Genus
- 79
- Ends
- 0
- Embedding
- embedded
- Orientable
- yes
- Symmetry kind
- crystallographic group
- Fidelity
- exact
- Exactness
- numerical-integral
Definition
No closed form is stored for this surface. It is defined by its shipped implementation in math_art.minsurf.tpms, which 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.
- H. A. Schwarz (P, D; Gesammelte Mathematische Abhandlungen, 1890).
- A. H. Schoen, "Infinite periodic minimal surfaces without self-intersections", NASA TN D-5541 (1970) -- gyroid, I-WP, F-RD.
- E. R. Neovius (1883). Inventory and nodal equations after Ken Brakke's periodic-surface pages (kenbrakke.com/evolver); the tier-2 sources are documented at the expansion block below.