Hyperbolic Paraboloid

Hyperbolic Paraboloid is a quadric surface, given by a parametrisation, embedded.

aperiodic def-parametric embedded implemented noncompact quadric tradition-architectural tradition-classical

Formula

x(u, v)

u

y(u, v)

v

z(u, v)

u^{2} - v^{2}

z = c((x/a)^2 - (y/b)^2) with a = b = c = 1 and extent 1, the operator defaults

Chart reproduced numerically against the shipped implementation: fwd max 0.28 of tol, 0.0% of oracle beyond tol (tol floor 2.5 x 0.03634).

Classical; the second doubly ruled quadric. Felix Candela's shell structures are the architectural realisation.