Gabriel's Horn

Gabriel's Horn is a surface of revolution, given by a parametrisation, embedded.

aperiodic def-parametric embedded implemented noncompact revolution tradition-classical

Formula

x(u, v)

u

y(u, v)

\frac{\cos\left(v\right)}{u}

z(u, v)

\frac{\sin\left(v\right)}{u}

y = 1/x revolved about the x-axis, cut at the operator's default length 6; finite volume, divergent lateral area

Chart reproduced numerically against the shipped implementation: fwd max 0.79 of tol, 0.0% of oracle beyond tol (tol floor 2.5 x 0.01845).