A few weeks ago when I was searching for signs of cycloids hiding in nature, I came across scanned images of this obscure 1997 paper by Harvey A Jetmore Jr: "An Hypothesis of Antinomy [0]" Parts [1] and [2]. One idea that jumped out at me is Jetmore's hypothesized possible relationship between the cycloid, life and the helix, which he summarizes in Part 1: 8 and 9...
8. I can not ignore the possible relationship of the
inorganic and organic rhelms suggested by the transition of
cycloidal to helical motion, whether the vining of the
morning glory or the DNA helix. Could it be that evolution is
a function of the relative cycloidal curvature of space;
location in time on the brachistocrone, so to speak,
ie: that evolution is a sort of continuous creation?
9. It is tempting to suggest that the material world is the
rehlm of the curate cycloid from the limit of the common
cycloid to the limit of the circle. and that;
energy (waves) is the rehlm of the prolate cycloid from the
limit of the common cycloid to the limit of the line, and
that; the limit of the point/center/axis is the rehlm of the
V-oid and the black hole: and that;
the inorganic world of life is the rhelm of the helix.
[1] "An Hypothesis of Antinomy I: The V-oid" http://www.harveysspace.us/an-hypothesis-of-antinomy---i---t...
[2] "An Hypothesis of Antinomy II: Playing Dice with the Universe" http://www.harveysspace.us/an-hypothesis-of-antinomy-ii--pla...
NB: The formatting of the text on the Web page is a little messed up (scroll down to see scanned images of the paper).