Math Art
Hyperboloid of Two Sheets

Hyperboloid of Two Sheets

Hyperboloid of Two Sheets is a quadric surface, defined by an implicit equation, embedded.

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aperiodic def-implicit embedded implemented noncompact quadric tradition-classical

Formula

x2a2+y2b2−z2c2+1=0\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
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.