Schoen Manta (genus 57)
Schoen Manta (genus 57) is a triply periodic minimal surface, given by a Weierstrass representation, immersed, with a crystallographic space group.
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def-weierstrass immersed implemented minimal minimal-periodic tradition-crystallographic triply-periodic
Properties
- Family
- minimal-periodic
- Given by
- a Weierstrass representation
- Curvature
- zero mean curvature
- Periodicity
- triply periodic
- Ends
- 0
- Embedding
- immersed
- Orientable
- yes
- Symmetry kind
- crystallographic space group
- Fidelity
- exact
- Exactness
- numerical-integral
Definition
Third member of the Manta series.
Sources
Derived from the Math Art generator registries and cross-referenced to the literature; not transcribed from any gallery's compilation.
- A. H. Schoen, "Infinite periodic minimal surfaces without self-intersections", NASA TN D-5541 (1970) -- gyroid, I-WP, F-RD.
- H. A. Schwarz (P, D; Gesammelte Mathematische Abhandlungen, 1890).
- 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.
- A. H. Schoen, "Infinite periodic minimal surfaces without self-intersections", NASA Technical Note TN D-5541 (1970), together with his later listings of the second-tier surfaces.
- K. Brakke, the Surface Evolver periodic minimal-surface collection (kenbrakke.com/evolver), where several of these are figured.