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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. |