  In this paper we discuss the variety of planar spiral segments and their
applications in objects in both the real and artificial world. The discussed
curves with monotonic curvature function are well-known in geometric modelling
and computer aided geometric design as fair curves, and they are very
significant in aesthetic shape modelling. Fair curve segments are used for
two-point G1 and G2 Hermite interpolation, as well as for generating aesthetic
splines.
