**Toward General Abstract Dimensional Notation**

**Back to the Photos of Equations on the White (Drawing, Caulk, or Robin's Egg Blue) Board...**

**L. Edgar Otto**

**Saturday, 02 March, 2013**

*****

**3:38:31 PM**the content or dimensional number of an Euclidean construct, points, edges, faces ... is considered locally independent of the embedding condensed or natural or expanded global symmetry representation for counting purposes including abstract real or virtual singularities.

* such numbers
squared intelligibly relate to the natural higher basis of subsystems in the
dimensions in question.

* the general concept
makes of stereonomic geometrical structure a universal code for they can be
added as in the ground for a Turing universal calculating machine for
information as numbers.

* we are now free to
emphasize a basis as perceptual including consideration of it as the case or a
privileged theory of everything; for example if we have 40 abstract objects we
may match them to 5D close packing systems.

* but without a more
general and relaxed theory a space say composed of 240 objects squared,
assuming there is a way to handle the exceptions we encounter in lower subgroup
interactive dimensional structures, the grounding does not necessarily make a
unique totality of all possible ones in the general omnium reality as a theory
of everything. It is thus not a strict
omega idea of a Turing machine nor can it be expected necessarily (but with
exceptions) to translate higher encoding as if the universal Touring machine
at least in the empty and possibly not connected coherence of this maximum
symmetry locally and in observable isolation toward anything hidden, absolutely
perhaps if the structures are ultimately closed and limited or at some state
become fixed so indefinitely.

* interestingly, the
quasic matching of these shadow condensings are neither necessary nor socially
interacting to which a wider freedom of theory may ultimately ground any fixed
or vague system of material or subjective modeling- that there is an exception
to anything unique as a generalization of the question of fractional
transfinite infinities in regard to a fixed or moving quasi-included null
singularity complexity continuum.

* a set of singularity
integer in the structure and count may be seen as the basis as grounding other
approaches to the privileging of concepts for a theory or the general use of an
intelligible informational structure as the generating representational
dimension in its logic of design. Or in
the subsets we may generate a system whole that is defined by the isolated
parts and their interactive properties quite independently of issues of some
theory of space embedding as if necessity that such for all observational and
practical purposes may be said not inferred or exist save perhaps in what
amounts to higher systems that drive or is driven by higher consciousness or
intuitions.

* if in cross eyed
viewing, the universes unfocused into individual, say hyperbolic discs as a sea
of these in an unspecified empty space, we can imagine for a doubled or
singular universe that these superimposed views is the source outside or inside
of a total theory of our intuitions of parallel universes of at least adjacent
ones abstractly unto the complexity of a grounding symmetry such as duality.

* or the building up
from the small as a possibility for a grounding design structure may itself
describe a ground for a more general theory as the space it so describes as
well as its description as concrete distinct from that what of a general space
is so built up can generate and focus the structures built down from it.

* we now should
specify the structural rearrangements between these interactive groups and
dimensions within this general theory, with dynamic operations that may apply
to the visualization of such quasifinite systems as computation.

* * * * * * *

*03 March, 2013 1:46:02

* Symbol: double the
number of integral potential singularities and sum to a positive number. -=
vertical

* symbol: halve the
number of potential singularities and sum to a positive concrete number. =-

* symbol: consider
the resulting concrete numbers in some dimensional system also transitive over
any point of identity as to which is derived yet distinct from the set of such
singularities.= =

* symbol: exclude all
but the specific point singularity. - -

* compute levels of
generational n(n+1)/2 count over a particle totality as in thirds, (9-3)/2 = 6
which for example is 3 concrete of 9 flavor independent valid concrete containment's. Analogs exist over flat brane or abstract a natural dimensional
basis.

* assume such
independence if ideally linear may integrate or separate, decay, these
independent sub-dimensional sub-group entities or that these may from a
continuous totality over an interval add or subtract total energy.

* Independent
quasi-virtual point singularities may have their own mirrors and negation and
generational levels within a higher or lower generational symmetric system that
may move independently from the quasi-isolated systems or between them in a
quantum or quasic informational manner.

* assume that an
intelligible system of point singularities represent the possibility of a
different generational dimensional basis or this only a random potential case.

* assume that over
such mutations of systems between the necessity and chance a system may
concretely evolve theologically to a different yet time independent
state. Consider this as a nonnecessary
case for space of dimensions or other properties in higher generality.

* assume that what so
potentially distinct as to its concrete or virtual expression may be
interchanged in higher generality contain all the sub-properties of quasi
system algebra and geometric count as if quasi-conserved phenomena.

* the every other
partition number divisible by five is akin to the strict idea of interpretation
of even and odd integers where the computation negative or positive is
concrete.

* number patterns as
well as the potential properties of nonnecessary point singularities persist
intelligibly as we extend the hierarchy of numbers to states of higher
complexity and may persist quasi- intelligibly and coherently.

* in particular we
may erect systems geometrically as if a the interface of Euclidean local-general
branes and sub-branes.

* at a nonnecessary
Omega of computation, purpose, or infinity as if an end the generalization
returns on all potential dimensionless scales to Being as paradox and
quasi-contradiction as absolutely yet creative potentiality divergence from the
stance of perpetual ending, creation and change or all purposes subsumed to the
reality of a general yet philosophic continuum of a theory of everything, being
and non being or all models that are inclusive of realty where they can also be
mathematical models as if in between.

* one sufficiently
extended interval of ephemeral existence may establish potential intervals of
everlasting or eternal extension of said unified totalities as if the
everything.

* * * * * * *

**12:00:05 PM**

*****Two further illustrations may help to visualize the combinatorial concepts of these abstract point singularity spaces.

The first relates to
a certain threshold of intelligibility between independent singularities of a
higher group dimensional space such that we may describe a social model as if
between persons and their interactions.

The second involves
weighted dice of various colors in the biocolor code in a triaconway matrix
which point out the role of diagonals.
But this is also a matter of applied probabilities along with the space
pattern symbol substitution that seem to confuse the reading of color words
spelled in a different color. God's dice would be of a wider subjective nature
if He did play dice with the cosmos, even if in some standard stance He can
load the dice or not.

But both
illustrations suggest a certain independence on several, especially the next,
dimensional level of the count of singularities to which such variations on
phenomena will be expected or if in a data system assumed but outlier
exceptions. In a sense these dice or
systems have to reach a threshold of complexity in the organized count wherein
say in the passing of that waged between three players the advantage moves in a
looping direction cycle of tighter and higher pip counts. Without this looping we have no definite
direction of the wagers and wins- we in effect define temperature as if by the
zeroth law of thermodynamics.

We may take the raw
number of pips imagined in all the counting possibilities, such as 30 x 6 faces
or also for space color cubes x 21, or x 28 for four space... the pips over
three axes intelligibly sum to 21, that is 7plus7plus7. By the labeling with such pip numbers we can
describe the inversions of the cubes with just a positive notation across the
triaconway matrix. These sometimes add
with an excess or remainder of twice 28.

In spending some time
with the actual thought to manufacture these new takes on old mathematical
recreations I have other game ideas to investigate the last illustration here,
for example to take 8 of the 24 hypercube faces as a point and add 16 of its
points thence to find the symmetries of connected successive play connecting
them by two players.

* * * * *

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