I realize that at first introduction this process appears
non-mathematical — since it relies on the utility
of digit-summing which is commonly considered to
properly belong to numerology and kabbalah, rather than
mathematics. Because this numeric device has nothing to
do with accounting and is useless in enumerating the
war-dead, we’ve been encouraged to conveniently
neglect the living sources of the mathematical
operations we guide our thought and technology with. Yet
we must return to this ancient stage with new eyes —
for within lies the key to travel of a form we cannot yet
imagine — and perhaps an egress from 10000 years of
atrocity inspired primarily by the broken dolls of what
was once a celestial science.
The mathematics as we know and practice it is a minuscule
and abstracted shaving of what our ancestors knew
explored through the manifold lenses of numeric relation.
Because we have developed profound sophistication in manipulating
abstract entities we have forgotten that the stuff
we manipulate is not now and never was abstract. There is
no instance of an abstract number anywhere in the many universes
— except in the human imagination.
Implicit in numeric reductions are a set of recombinant
lenses which reveal mathematically demonstrable
relationships — in a dimension of relation
our species has thus far ignored — primarily because
we rely upon linear methods which are insufficient to reveal
these relationships. Methods ‘more like us’
are faster and more accurate — and they rely upon
a multidimensional and multiply-scalar perspective to accomplish
this seemingly impossible feat.
It is my hope that this essay may serve to re-inspire us
to seek a relationship with numerism which is founded in
the wise comprehension of multiple sources and ways of understanding —
for in these seemingly primitive methods lie a
vast and as yet undiscovered universe.
There is a 3 and 9-based symmetry in the natural numbers
which requires the lens of digit-summing to adequately reveal
or explore. In recognition of possible formal objections
I ask you to favor with close attention three related facets
of evidence which I have crafted in the hope of allaying
these and other similar concerns:
1. The perfect
numbers. In these trinary summing sieves developed around
the natural divisors of the perfects, the digit ‘supporting
the top’ always reduces via digit-summing to 9.
2. The reflective
elements in the sums of the trines, expressed as fractions
where double, and explored to their repeating-points. The
symmetry of 9 is omnipresent in these perspectives.
3. The sequence
of all integer-based bubbleForms of this nature [2-12]
over the range of 0-1000. Each produce startling symmetries
formed only upon trines and nines.