Scherk-Collins Sculpture
Scherk-Collins Sculpture is a minimal surface, given by a parametrisation, immersed.
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aperiodic def-parametric immersed implemented minimal
Properties
- Family
- minimal
- Given by
- a parametrisation
- Curvature
- no condition imposed
- Periodicity
- not periodic
- Ends
- 0
- Embedding
- immersed
- Fidelity
- exact
Definition
No chart is stored: procedural geometry (Sequin's generator: Scherk tower segments warped into a toroid by a numeric pipeline of twists and bends); no chart. 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.
- H. F. Scherk, "Bemerkungen ueber die kleinste Flaeche innerhalb gegebener Grenzen", J. reine angew. Math. (Crelle) 13, 1835
- - the singly-periodic saddle-tower minimal surface. Sculptural form after the collaboration of sculptor Brent Collins and Carlo H. Sequin (see the Leonardo and I3D papers above).