Pearce Saddle Surface
Pearce Saddle Surface is a discrete surface, given by a parametrisation, immersed.
Open Pearce Saddle Surface in the interactive viewer →
aperiodic def-parametric discrete immersed implemented
Properties
- Family
- discrete
- Given by
- a parametrisation
- Curvature
- no condition imposed
- Periodicity
- not periodic
- Ends
- 0
- Embedding
- immersed
- Fidelity
- exact
Definition
No chart is stored: each face is a numerically relaxed (soap-film) patch over a skew circuit; no closed form. 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.
- Peter Pearce, "Structure in Nature is a Strategy for Design", The MIT Press, 1978, ch. 8 -- saddle polygons spanned by minimal surfaces, and the saddle polyhedra they bound.
- Ulrich Pinkall & Konrad Polthier, "Computing Discrete Minimal Surfaces and Their Conjugates", Experimental Mathematics 2(1), 1993, pp. 15-36 -- the cotangent-Laplacian area minimisation used here through the project's `minsurf.plateau` module.