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SICI SPIRAL

Sici: initials of the Sine Integral (Si) and the Cosine Integral (Ci) (name given by Von Seggern in 1993).
Other name: Nielsen spiral. |

Cartesian parametrization: .
Complex parametrization: . Curvilinear abscissa: . Cartesian tangential angle: . Radius of curvature: Intrinsic equation 1: . Transcendental curve. |

The ordinate of the asymptote is equal to the value of the Dirichlet integral .

Curve very similar to the portion of hyperbolic spiral: .

Compare also to the Cornu spiral.

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© Robert FERRÉOL 2017