The SpaceCurve(C, t=a..b) calling sequence plots a space curve in $R^2$ or $R^3$. The plot is displayed in Cartesian coordinates.

Alternatively, a curve can be defined using a position Vector and it can be visualized with PlotPositionVector.

$\mathrm{with}\left(\mathrm{VectorCalculus}\right)\:$

$\mathrm{SpaceCurve}\left(⟨\exp \left(-t\right)\cos \left(t\right)\,\exp \left(-t\right)\sin \left(t\right)⟩\,t=4..8\right)$

$\mathrm{SpaceCurve}\left(⟨\cos \left(t\right)\,\sin \left(t\right)\,t⟩\,t=1..9\right)$

$\mathrm{SetCoordinates}\left(\mathrm{polar}\left[r,t\right]\right)$

${\mathrm{polar}}_{r,t}$

$\mathrm{SpaceCurve}\left(\mathrm{PositionVector}\left(\left[1\,t\right]\right)\,t=0..2\mathrm{\pi }\right)$