Elliptic Cone

Elliptic Cone

Elliptic Cone is a quadric surface, of zero Gaussian curvature, defined by an implicit equation, immersed with singularities.

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aperiodic def-implicit flat implemented noncompact quadric singular tradition-classical

Formula

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

Properties

Family: quadric
Given by: an implicit equation
Curvature: zero Gaussian curvature
Periodicity: not periodic
Ends: 0
Embedding: immersed with singularities
Orientable: yes
Fidelity: exact
Exactness: elementary

Sources

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

Classical.