Crystal Pyramids Bermuda

In response to Joustos, great questions, I will answer the best I can for now:

1) The drawing of an angle involves or is a movement, but what is the meaning of "an angle forms movement"?

I will start with not just a thought experiment but a logical argument in regards to the inherent properties of "space".

a) A 1d line exist within a 0d space. The 1d line is infinite and is projecting away from its origin of zero space because of its extra-dimensional nature, which in turn
defines the line as fundamentally "space through direction". The line exists as a boundary, which in itself is composed of space itself.

b) The 1d line exists if and only if it projects away from its origins, however in 0 dimensionality (which can be argued as not even space itself considering space is
observed through boundaries as boundaries), the line cannot project anywhere since there is quite literally nowhere to project.

c) Because the line must project, and there is nowhere to project, the line must fold through itself if it is to project considering this act of "projection" requires a
form of relations where if something is to project it must do so in relation to something. Hence the line directed in one direction does so if it alternates, through a
process of folding in which it simultaneously projects in a dual direction. The line, under these terms folds into an angle where the original line maintains an infinite
nature and the proceeding folded line goes in an opposite dual nature to form an "angle". The 0d point in turn acts as a form of inversion which can be observed if and
only if there is a line.

d) So upon the first inversion an angle forms in which the line can "relate" to another line and hence project ad-infinitum. This inversion of the line, resulting in
another line with both summating under an angle, observes the line as "actual relations" in which the line is a localized object and the space between the lines as
"potential" relations in the respect the lines relation as an angle provides potential movement for the lines.

d1) Now each line follows this pattern of folding resulting in further angles and eventually frequencies as each line becomes a ratio of the previous line (1 line
folds in 1/2 as 1 angle through 2 lines, it again folds into 1/3 as 2 angles through 3 lines, etc.)

e) These angles observe the that line, as directed into the 0d point, "contracts" much in the same manner where "1" approaching zero on a number line turns into a fractal.
However this fractal, as observed in the folding process of the line, in itself dually results in the synthesis of a whole number ("2" for 1/2, "3" for 1/3, etc.) hence
the progression towards 0 relativistically results in whole lines when inverted(as expressed by the whole numbers of 2/1, 3/1, 4/1).

f) Lines exists through a process of inversion as "contraction" and "expansion" resulting in the angle as a form of relations between these lines as movement. However a
further form of alternation occurs, in which the line can only "contract" or "expand" if it in itself is composed or relations. We can see this in the simple fact that
while all relations exists as movement, hence projection or "direction", the 1d line itself must "move" in the respect it projects. If is moves it must be composed of
relations with these relations resulting in the "premise of contraction" we observe in the line as 1 dimensional. So what we understand of the line is fundamentally a
quantum (or micro) angle where the "direction" of the line is the "contraction" of the angle as ">" where the synthesis of the lines as the apex of the angle is the
direction of contraction.

g) In simpler terms the line exists as an angle, the angle exists as a line, and the line results in further lines as angles through angles. The line as extradimensional
projects itself because it is composed of angles and composes angles. Hence the line and angle exist as an alternating dualism. Lines exist through alternation as an
approximate (or partial) movement of the universal form of the circle they compose.

h) I may have to clarify some points above so just underline them.


2) Consciousness is formless and, hence, cannot be geometric.

a) Consciousness observes geometric forms under the boundaries of the point, line and circle with these forms composed of these boundaries in themselves or approximates of
these boundaries. Consciousness, as the observation of boundaries, inevitably reduces itself to a form of geometry where we percieve these boundaries as things in
themselves which form our consciousness.

b) We observe a line as an objective phenomenon itself. However this objective boundarie provides a premise of subjectivity where we further apply lines in various forms of
measurement in regards to establishing boundaries whether it be at the physical scale (such as draw a line for measurement, and then cutting it which is in itself is an
application of the line) or the more intuitive and/or abstract (distinguishing emotions or mental actions by "drawing a line").

c) All consciousness extends from and through the application of boundaries and in effect consciousness has an inherent geometric origin in the respect that these
boundaries fold through themselves as consciousness. For example the application of a boundary, a line for example, results in another boundarie with this same boundary
(the line) fundamentally "folding through itself" as the boundary (the line) is still a boundary nonetheless.



3) Time is not a movement. Movements at some pace or other give the experience of time
****See question 1 of "lines as movement" if time is premised as a linear structure.

a) Time is compose of the relation parts which exist if and only if they relate.

b) These relations of parts exist as a form of individuation where one part must seperate into another part under multiplication/division.

c) This act of individuation is a form of movement through relation where time itself is fundamentally an observation of localized boundaries which form the parts
themselves.

d) This act of localization, where boundaries are formed under the simultaneous dualism of multiplication/division (we can see in all particles or "fields" within physics
to biology to more abstract localizations such as "genus" or "species") exists under a boundary of potential localization as "no-form". Hence time maintains a
dualism of locality and non-locality (potentiality) under this same alternation of multiplication and division.

4) Explain this 9-pt. problem.

www.archimedes-lab.org/How_to_Solve/9_dots.html