Constant Width Solid
Constant Width Solid is a surface, given by a parametrisation, immersed.
Open Constant Width Solid in the interactive viewer →
aperiodic def-parametric immersed implemented misc
Properties
- Family
- misc
- Given by
- a parametrisation
- Curvature
- no condition imposed
- Periodicity
- not periodic
- Ends
- 0
- Embedding
- immersed
- Fidelity
- exact
Definition
No chart is stored: Meissner-style bodies are piecewise (spherical caps, torus-arc wedges, revolved circular arcs) assembled with edge patches; no single 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.
- Ernst Meissner & Friedrich Schilling, "Drei Gipsmodelle von Flaechen konstanter Breite", Z. Math. Phys. 60 (1912), 92-94.
- Bernd Kawohl & Christof Weber, "Meissner's Mysterious Bodies", Math. Intelligencer 33 (2011), no. 3, 94-101.
- T. Bonnesen & W. Fenchel, "Theorie der konvexen Koerper", Springer 1934 (the minimal-volume conjecture).
- Wikipedia, "Surface of constant width" and "Reuleaux triangle".