Sphere
Sphere is a quadric surface, of constant positive Gaussian curvature, defined by an implicit equation, genus 0, embedded, with a continuous symmetry group.
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aperiodic closed closed-orientable def-implicit embedded implemented k-const-positive quadric tradition-classical
About
The set of points at a fixed distance from a centre: the surface of constant positive curvature, the shape that encloses the most volume for its area, and the one every other closed surface is measured against.
Formula
Properties
- Family
- quadric
- Given by
- an implicit equation
- Curvature
- constant positive Gaussian curvature
- Periodicity
- not periodic
- Genus
- 0
- Ends
- 0
- Embedding
- embedded
- Orientable
- yes
- Symmetry kind
- continuous symmetry group
- Fidelity
- exact
- Exactness
- elementary
Sources
Classical closed form, written directly in the exact language and checked by the validator.
- Classical.