The meticulous tracing below of – and path curve matching to – a real Sycamore bud was made by Mr Edwards more than four decades ago.
Path Curves & Real Buds; the Practical Mathematics
THE BUD WORKSHOP
This site is accumulating details of research
December 2016: Please
29 April 1941 - 1 April 2015
Development of a 2-D Path Curve
Lawrence Edwards' observations spanned decades, and he gave account of them in his book, The Vortex of Life, pub. Floris Books
Results of research conducted after this book was originally published are contained in seven volumes of the Supplement and Sequel to the Vortex of Life. These volumes are no longer in print , but they may be downloaded, in PDF form, here.
The projective transformation of space into itself gives rise to path curves, than which no more elementary or simple curves exist.
It was one of Lawrence Edwards' many discoveries that path curves very accurately describe the form of the buds of a comprehensive range of species.
Try it for yourself on some real buds.
Edwards' research is the first and only one to have, from first mathematical principles, successfully described any biological form.All other attempts at precision are essentially—and merely—statistical (norms are not principles). This implies that DNA cannot alone be the propagator of living form, and random process cannot alone drive evolution. How these things may work together is an obvious target for new research.
He discovered that buds change form rhythmically,
and that the rhythms are those of the alignments of the Moon with Bodies of the Solar System.
He found that a specific tree or flower changes the form of its buds in the rhythm of the Lunar alignment with a specific body. The Oak, for example, appears to change with Mars, the Beech with Saturn and the Birch with Venus.
One of his λ* charts is reproduced above (for a Beech bud near his home in Strontian, Scotland) that clearly shows the form of a real bud undergoing about fortnightly change - that is, in the rhythm of alignment (opposition or conjunction) of the Moon with a body of the Solar System—in this case, Saturn.
Illustrating Alignment of Earth, Moon and Mars,
and the corresponding change of bud form (none of it in the least to