Ufo
Ufo is an algebraic surface, defined by an implicit equation, immersed.
Open Ufo in the interactive viewer →
algebraic aperiodic def-implicit immersed implemented tradition-gallery
Formula
Properties
- Family
- algebraic
- Given by
- an implicit equation
- Curvature
- no condition imposed
- Periodicity
- not periodic
- Ends
- 0
- Embedding
- immersed
- Fidelity
- exact
- Exactness
- elementary
Sources
Closed form reproduced numerically against the shipped implementation (math_art/surfaces/algebraic.py) over 240 sample points: matches oracle x 1 over 240 points (worst 0).
- H. Hauser, "Bildergalerie algebraischer Flaechen", Universitaet Wien. https://homepage.univie.ac.at/herwig.hauser/bildergalerie/
- S. Amethyst, 3D-printed renderings of the same gallery, https://silviana.org/gallery/hauser/
- H. Hauser, 'Bildergalerie algebraischer Flaechen', Universitaet Wien.