**Lampions Footnotes: Late December 2012**

*L. Edgar Otto***Dimension and Concrete Symbols**

**2012-12-25**

**23:36:25 -**A general concept of what by virtue of being in a lesser adjacent natural dimension gives it in a sense concreteness, as if a materiality which in the freedom of a general theory of space grounds our idea of touch in what is an abstraction. This idea works grossly in some science fiction scenarios including the use of the concept on actual material things implying a certain space of wider immateriality if these essentially quasifinite "flangelations" that is conceptual and real geometrical and structural focusing in worlds of nonnecessary contiguity.

It follows that a
great deal of mental development is the learning innate in children of this
freedom to explore symbols as if concrete objects of which to form a relevance
of what amounts to tangible but abstract structures that correspond to various
levels of evidence when grounded by and experiencing the familiar and
intelligible levels of the world.

In the abstract,
between interactive dimensions and the counting with a tendency to move things
in one of absolute directions for wider symmetry and what may be thought of
then as articulation of these abstract geometrical objects- that is what we can
combine, such as cubes formed into shapes in familiar space become the same
stereonometry and tactical conductibility as if such objects are actually
material objects so constructed.
Learning is on the same level of reference in this mental space as to
what is imagined as a simulated system and how it applies to those encountered
in the real world- moreover, these levels of such functions in an actual
organism may loop in reference to these laws, and may be open or closed in the hierarchy or analogies of real or imagined encoding parallels of systems- these
to some degree constrained where totalities are constrained if they have a
matching totality of the excluded mirror or field possibilities of objects
within an organism as if these at any point partake of restrained intelligible
unity.

If geometry, abstract
but as if defined by touch and sight, do not have such principles at the
foundation the explanation of imaginary and real structures will not be
philosophically resolved as to which dualism substance is said to be the actual
and the concrete- and the widest reach of the real of system possibilities to
which we may on the more general level imagine a weight of what is
intelligible.

Let me add that in
the articulation of these abstract objects that there corresponds in the
material world limitations of the order of conductibility which in our time
the levels of understanding assume the concrete from statistical methods. The extreme of this as a concept is the
denial of any dimensions whatsoever beyond the three, or the permission assumed
needed for a time dimension added that vanishes in the idea of the abstract motion
thru time.

It is possible that
where still higher systems of contiguity will fit into a matrix of color
matching these have to be done to n-dimensions as triangular matrices only of
which the main diagonal of colors to the desired number if we imagined it
mirrored would contain double or multiple diagonal elements, alternatively
these can be dihedron half elements.

* * * * * * *

**2012-12-26 00:02:56**

I notice that in the
path fractal-like multiple possibility of filling a limited natural plane by linear
dimensions, these in the hypercube imagined as motion thru space elements, or
thru the 32 edges, that of the 256 combinations of axes we subtract an abstract
row of 8 colors (the 3-space faces of a hypercube as opposite pairs) for what
is considered the 248 dimensions in those theories- of which we should check
again the number used for constructable hypercube unfoldings.

Let us recall that
there are 240 Soma cube solutions (which of course may be considered of the
important number 480 in some particle physics theories. That of the pentominoes of five cubes we can
add one abstractly to the whole as if in a distant four space. Note also the 230 (that is 32 kinds and the
translations) crystal groups in three space.
These are found without recourse to the idea of more abstraction than
the constructable arithmetical axioms.

256 - 16 = 240; 256 - 26 = 30; and so on that we need to
formally relate into arithmetical concrete systems upon the materialization
available from abstraction. I do not know how in the literature these core
numbers were derived other than it seems to take a lot of people working a long
time in what is considered a very large field of number combinations by
principles but far from the tangible computation and concrete but lesser number
of pattern visualization.

* * * * * * *

**2012-12-26 05:24:55**

As far as conductibility goes, connected or divisible by flange stereonometry asymmetry
in mirroring does not necessarily define primacy as indivisible in the factor
relation to unity. Geometrically a
number times one is not the same as one times the number- a sort of quasi-prime
concept.

This is reflected
globally in the convergence differences in mirrored log or exp functions and
such asymmetry may be treated as powers of the |x> quantum convention symbol
as the power of itself, including this reversed (4 possibilities).

The division of
subcells continues this quasi-primacy so sometimes in a wider system where
there is a concrete unity it may act as prime fundamentally.

Perhaps a cyclic
prime like 89 can be translated into other base representations via this
mirroring asymmetry.

We note also that a
linear motion thru the ensemble of the 24 hypercube square subcells at each
edge crossing has two sign choices, alternatively. Quasi-cycles.

We also note in the 4
x 4 matrix doubled as subcell edges the relation between given points, divided
into two sets that compliment the mirrored information the shift from one such
point to another may have a first or second generation skip in the quasic
brane, qb for continuous sets, 8 cycles and 8 cycles as if two of many parallel
paths of cubes, of the 24 implied cylindrical squares by the edges in cycle
there are 8 that are independent or discontinuous for the total of 32 edges.

Pi is for
principia. It is obvious in the coloring
and number of edges that meet in a point in say alpha 4 (5-cell simplex
polytope) or the faces so colored or the volume integral of the polyhedra that
the group numbers can be intelligible arithmetic with operations of absolute
values where addition and multiplication my be indistinguishable or correspond
as in the magic numbers of electron configuration in atoms. The primacy as concrete 2 shows up here in
the nature of division and unity of
systems- 96 is of course the 24 octahedra in the 24 cell polytope of the group
1152 that intelligibly are defined by rigid and inverse rotations unto the
dimension in question.

Higher generations
defined structurally and quasicly involve wider ideas of dimensions and
symmetry of which the platonic figures and their four space analogs are
especially significant for conductibility in the lower dimensions.

If in a set of
points, orthogonal for a start, in the virial shift fault pairing by the
dihedron at singularity or zero, or the 6 10 14 18 and the implied 50 we choose a pair of them
of unity linear motion or zero change of binary coordinates we can open or
divide the orthogon (including greater than 5 space) as if it is not a matter
of a looping circuit but an open circuit at both ends where the choice of sign
allows extended mirroring if the sign path respects differences by halving the
path division as in edges at these points (a memory action at a distance
entanglement for example.) Such global
memory effects applies to unfoldings via numbers greater than 2 also in the
flange or rim natural stereonometry of condensing or expanding dimensional
structures shifted interdimensionally.

In a consistent
integral system that involves exponentiation the value of one half as constructable contains other magic values if there is general dimensional
entanglement of said memory or the unity of a space is alternatively to be seen
as parts that are discontinuous, manifold spaces add to their complexity by
these unity or quasi-prime quasi-logical states of an evolving classical system
as if he hidden forces and wider laws of symmetry define materiality as constructable.

Structurally, that
implied in the 24 or 32 duality difference of the faces and edges of the
hypercuble may interchange the idea of 8 independent elements or in the
circuits describable as if distinct squares a series of 8 mirrored are a
continuous prime, both meeting intelligibly at contiguity where the functions
are looping.

* * * * *

**2012-12-26 11:01:45**

**Quasic Plane Ordering**

In this iI list of 16
edge elements I put 16 elements of the quasic plane in the logical order I
called the quasic order (sometimes the Zz code but I am not sure the Z code
term applies here the same way. The
imagined path or motion function between these points in a two space or brane
representation of four dimensions will physically appear as discrete points
where in the four into three space representation we can imagine these are
continuous motions. We then see that at
each point in either representation there are four choices of the at each point
for 64 in regard to the four axes. This
is 48 should we allow no reversals at an edge, and if we mirror and expand the
path (not including the cases of motion thru other subcells, here thru a cube
face at each point - that also considered a linear motion without a right angle
shift which would describe the 6n usual degrees of freedom of such ensembles)
we can apply this to the doubling or halving of the covering planes of the 32
elements as if the possibility of the natural doubling of subcells elements to
extend the orthogon another 2^5 natural dimension.

In loops these are
transitive in function over any of the sixteen points, the ordering being
chosen from one of them privilege as a standard- the topological methods as in
a Karnaugh graph is not just a matter of the illusion of elements on the plane
that is presumed transitive as discreteness into a wider range of discrete
adjacency as the foundations of such abstract quantum like jump motions. The tenuous continuity between these elements
can be readily seen where they on the simplest or reduced (flanged)level
applies to codon genetics. Note the symmetry that in a table cloth fractal like
manner divides the symmetry of the totality into quadrants even in the 4 x 4
representation for the underlying logic and validity of such point-class codon
expression possibilities. Here we also
see in a asymmetrical direction existentially at least the non-necessary but
not strictly non-linear unto a given basis of a natural dimension the area of
choices at an element point that may or may not depend on its preceding history
nor what possibilities in a consistent universal aspects of the system may
follow in a tachyonic like or teleological directed like abstract and absolute
motion system. The general fixity of our
concepts of a physics field, either as the case of randomness for itself or as
overly mechanistic misses the sublty of these interdimensional and inter brane
or group sub-possibilities (of which we vaguely interpret in terms of say the
second physics, quantum theories with the problems of how we see such physics
of vague clouds materialize as the classical concrete.

The general quasic
plane is not restricted to any level of the n dimensions but we can make global
confusions or decisions as to what we consider concrete or as illusions of our
perceptions (of which we have the adaptability in our life and thought paths
to discern what is concrete and what is hidden in our evolving world.) These brane quasic generations may be
multiple around a full or empty singularity vacuum point as well the idea of
manifolds of multiple branes as if vectors of natural dimensions. These persists in their discrete properties
also.

If in the quantum
|x> notation we represent asymmetry in discrete or continuous systems, the
powers not just inverses of functions generated, these too may be considers
relatively continuous or discrete as logical possibilities of the
quasi-complimentary mirror powers or that powered as the grounding
dimensions.

At a given point or
quasic region we can also imagine that entry into the next point may affect in
the multiple choices sign reversals in intelligibly all of the direction
possibilities in question for a sort of complete or partial "quasic inversion".

Two such general
quasic fields, in ideal completeness or unto some part of the totality of each,
may combine or may influence the conformal structure on many levels as if a
unity or division of the properties of each other.

When we do consider
different subcell motions as quasifinite from some set of elements in the
quasic brane we may note or have a rough measure of the weights or energy
involved as if between rays or stings as edges between them and the effect when
seen directly or not may materialize intermittently as does the core positive
existence over the zero or negative in the omnium as logically unified and
fixed yet expanding and self looping quasifinite universe.

* * * * * * *

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