The path curve C (or pathcurve) is formed by repeated application of a
projective map P to some starting point a.
Lou de Boer 2) found 7 continuous
types of path curves in the projective plane.
Relations have been made to several shapes of living things: buds, pine cones
or eggs, human embryo, aorta, and the pineal gland.
In 3-dimensional projective space, space pathcurves can be found.
1) He wrote: the vortex of life (natures patterns in space and time), published by Floris Books.
2) Boer, Lou de, Classification of real projective path curves, version 2, 2002.