Schwarz's Lantern
Schwarz's Lantern is a discrete surface, given by a parametrisation, genus 0, embedded.
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aperiodic closed compact-with-boundary def-parametric discrete embedded implemented tradition-classical
Properties
- Family
- discrete
- Given by
- a parametrisation
- Curvature
- no condition imposed
- Periodicity
- not periodic
- Genus
- 0
- Ends
- 0
- Embedding
- embedded
- Orientable
- yes
- Fidelity
- exact
Definition
No chart is stored: a POLYHEDRON inscribed in a cylinder (4 m n flat triangles); being non-smooth is its entire point, and no single smooth chart represents it. 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. A. Schwarz, 'Sur une definition erronee de l'aire d'une surface courbe', Gesammelte Mathematische Abhandlungen (1890).