Back to Some Notes on the Logarithmic
and Golden Mean Spirals
A short technical note:
My original copyright vortex sculptures are not, and cannot be,
spirals, and neither are the illicit copies of my vortex sculptures
by the person referred to in the "Plagiarism Notice" at the top
of this website.
- The golden spiral is anachronistic. It was not known in the
world, and was only algebraically defined by Descartes in modern times.
Any scholar attempting to reconstruct what was known thousands of years
ago would be taken to be a fool for imposing the golden spiral on work
of that period. This imposition has hurt Meru Foundation's credibility,
because of the plagiarist's false claims.
- The golden spiral is a 2-dimensional form that like all log
always increases, and has an infinite number of turns. My original
sculpture is a limited, 1-1/2 turn, 3-dimensional form, with the outer
turns bent back. As any sane person knows, a circle is not a circle if
you cut off part of the arc, or bend it over the edge of a table. The
could have started with any spiral, even the golden spiral, but once he
cut it short and bent it (as he did to match my sculpture), it is no
the spiral it started as. It's not the same mathematical object -- in
it's not even a mathematical object at all.
- The plagiarist's nomination of the golden spiral is utterly
with the other work he took from me. There is no previous example of
symmetry/asymmetry model that I laid out in my paper, The
Light in the Meeting Tent, found elsewhere on our website.
is no previous example of any "flame letter" that takes the form
of the sculpture I designed. The plagiarist's claims regarding the
as models of symmetry and asymmetry are copies of my claims -- and they
are entirely inconsistent with his claim that the golden spiral
the asymmetrical part of the symmetry/asymmetry pair. This is because,
as the plagiarist correctly states, the golden spiral is always and
entirely self-similar. Although the plagiarist may not wish to
it, self-similarity is the definition of symmetry. That's what
the word symmetry
Thus, on his own (stolen) terms, the plagiarist's claim is
incompetent. The actual spiral vortex that the plagiarist shows, which
he copied from me, is the antithesis (opposite) of the golden spiral.
is, in fact, the most symmetrical spiral, not the most asymmetrical
These false technical claims may sell to the plagiarist's
untrained audiences, but at the same time, they are a technical
of my work, which makes it a laughing stock among persons who know the
geometry and mathematics.
- The golden spiral, being self-similar, always circles itself and
itself, in its own image. If you check your classics, you will find
this matches the description of Narcissus. Narcissus worships himself
his reflection (self-similarity), in his own image. It is ironic indeed
that the plagiarist should be so attracted to the symbol of self-love,
the golden spiral. (I am not referring to the golden proportion, which
is of enormous and proper significance. I am only referring to the
Further, the Western, Abrahamic faiths -- Judaism, Christianity,
Islam -- are based on the idea of a One God, and on the utter
of idolatry. It is absurd for the plagiarist to propose that the
western sacred alphabets are based on a golden spiral, because that, in
fact, would make them the most horrendous of idols to the persons who
these alphabets. Again, his incompetence makes my work look foolish
experts who know. The golden spiral is not only technically unsound, is
not only anachronistic, but it is also directly philosophically opposed
to the beliefs of the persons whom the plagiarist claims made use of
It is, in fact, the archetype of narcissism and idolatry. I can provide
numerous academic and mathematical references that discuss the
of the persistence of cult-like belief in the resurrective powers of
golden spiral. The plagiarist's linkage of the golden spiral with
is also, like the rest of what he presents, taken from others, and
as his own. The history of the use of the golden spiral to seduce
into believing that they can be immortal is well-documented.