Ellipsoid

Ellipsoid

Ellipsoid is a quadric surface, defined by an implicit equation, genus 0, embedded.

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aperiodic closed closed-orientable def-implicit embedded implemented quadric tradition-classical

Formula

\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} + \frac{z^{2}}{c^{2}} - 1 = 0

Properties

Family: quadric
Given by: an implicit equation
Curvature: no condition imposed
Periodicity: not periodic
Genus: 0
Ends: 0
Embedding: embedded
Orientable: yes
Fidelity: exact
Exactness: elementary

Sources

Classical closed form, written directly in the exact language and checked by the validator.

Classical.