Lawrence EdwardsHis Papers
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 Graham Calderwood My mugshot |
THE BUD WORKSHOP
This site is accumulating details of research December 2016: Please
note that |
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. This site may one day become fully interactive. The Proceedings of the Vortex of Life Conference
can be found at |
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. |
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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. |
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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
scale!)
* λ is the " Shape Parameter", controlling the "sharpness" of the bud's apex relative to the "bluntness" of the bud's base. |