Relative Realities: Symbols Tell the Whole Story
Lines, triangles, and squares help to articulate (are more specific versions of) circles; they produce what we have otherwise called dimension or shape. A circle is the symbolic representation, constant, or 'form,' of an eternal 49-51%. The circle, as a symbol, along with its sister-brother symbols (triangle, square), articulates reality.
Every Observation is Arbitrary and 49-51% Flawed
We live in a world of relative realities where, depending on where we stand, we experience a point of view that is relative or arbitrary. Our relative realities are best illustrated using basic symbols, or circles, triangles and squares. These basic symbols show us what happens when we make an observation (or when we attach ourselves to a thought or a belief).
Circles
When we make an observation we create one point on a circle. The opposite point from the point we created is also a valid observation (that we either cannot or do not want to see). This means we are equally right and wrong in all of our observations (something many of us may not realize). Because we cannot see behind ourselves, a one-person view, or a one-point observation, can be thought of as a 180-degree, or incomplete, view.
Two-Person View: 360-degree Circle
A two-person view, when the two of them take opposite positions, can be thought of as a 360-degree, or complete, view. This is best illustrated if we imagine two people on the top floor of a lighthouse (effectively a circle), one facing north and the other facing south; the two of them together see the whole view, while alone each misses half.
Two Views to Complete One
It takes, always, two or more people, or two or more observations to create a full view. The more people articulating an observation, the more accurate the articulation is. Because the view is changing (the view is rotating), each person will also eventually see the opposite view if he or she stays in the same place (but NOT at the same time). This is why we look for partners, why we listen to each other, why we share observations, why we feel so compelled to speak, why our point of view is usually different from another's, and why we will always change our views over time. (So we can find out what the view opposite our own is, the one we cannot see.)
Master Teachers: Those Who Disagree With Us
It is also why we should pay careful attention when we are sure our (individual) observations are totally accurate, or completely valid and/or true. Our best friends, sometimes called our 'master teachers,' are always the people who are willing to share the view that's opposite our own, the point of view we like hearing, or listening to, the least. The opposite point of view from ours is always also correct (from a different point of view).
Right and Wrong is Wrong and Right
But though the opposite point of view is important for us to hear (it completes our partial view) it is no more right (or wrong) than ours is. Two opposite, and alternate, points of view can be different yet both correct. One does not have to be 'right' and the other 'wrong.' Two people standing at opposite points on a circle see different (opposite) parts of one complete picture. This is how, and why, a conflict surfaces. We are tricked by the incorrect assumption that we are 'on a line' when we are really 'on, or in, a circle.' In some eventual framework, all points of view are accurate and correct. (This is because we are, and we are always part of, or on, or in, a circle.)
Diametric Opposites: The Circle's Diameter
Eventually we learn to embrace, accept, and complement our point of view with the view that is diametrically opposed to it, even though, intuitively, this feels totally wrong. We learn not to insist on one view, in a sense, to override our own thoughts, feelings and observations, and this keeps us safe and moving forward. We learn to 'see' and accept, or always, at least, think about, and consider, the opposite point of view. This keeps us out of conflict. Or, it helps us accept the conflict (as helpful and not necessarily bad).
Sine Wave Is Circle (Bell Curve is Also This Circle)
A circle has no beginning and no end, moving from here to there, and back again into infinity. Cutting a circle open, or piercing it with a one-point observation, creates a sine wave. All things can be represented or symbolized by unending sine waves (or circles or cycles). A bell curve (standard and non-standard distribution) is also a circle.
Circular Opposites
Circles and sine waves perfectly illustrate the fact that things are always changing into their opposites and then back again. So one point of view can only be 'right' for a certain time and space frame. Circles and sine waves also perfectly illustrate the fact that an observation can always be 'corrected' by combining it with its opposite. All observations are correct from some point of view or time and space frame.
Circle: Two Points of View
A circle is a way to articulate reality from two points of view. Every point on a circle has an equal and opposite point. The circle shows us on and off, day and night, an observation and its opposite. Each equal and opposite point of view is correct, depending on the frame, though it may seem that only one point of view, or one part of the opposite pair, is correct.
Triangle and Square: Three and Four Points of View
Triangles and squares are three and four-view versions of the two-view circle. A triangle is a way of seeing the circle in three phases, or from three points of view. The triangle shows us on, off, and in-between, or day, night, and neither, or an observation, its opposite, and the point in-between. A square is a way of seeing the circle in four phases, or from four points of view. The square shows us on, off, moving toward on, and moving toward off; or day, night, moving toward day, and moving toward night; or an observation, its opposite, and the two points in between.
Triangles and Squares: Tricky Middles
Triangles and squares show us two different ways to experience middles. The triangle shows us the middle as a single state; the square shows us a middle as a dual state. Though they seem different, circles, triangles and squares are really three different ways of seeing the same thing.
Family of (Basic) Forms: Circles, Triangles, Squares
Circles, triangles and squares feel different to us. We experience ourselves first as a circle (mother and child), second as a triangle (mother, father, child), and third as a square (mother, father, sibling, child). Within different combinations of relationship numbers, we experience, and are, 1/2, 1/3, and 1/4.Most of our lives are spent resolving the energy differences that result from this important set of relationships, and we continue to work through the relationship of two, three and four until we can function, balanced, in all three. Two, three and four, circles, triangles, and squares, are different versions of one (circle). All entities experience, and are experienced as, these basic forms, and/or relationships.
Circles, Triangles, Squares: Different Yet The Same
Over time, we are trying to discover that the circle, triangle and the square are all the same (though they look and feel different). The triangle and the square are more specific versions of the circle. The triangle and the square help us to understand, and articulate, the circle better. But more importantly, circles, triangles and squares help us to understand reality, and, ultimately, ourselves better. (Every entity is in, or combines, the shape/form of circles, lines, triangles and squares. These are the basic symbols- all eventually circles- which articulate reality.) Circles, triangles, and squares are our first very important clue that things that seem, or appear, 'different' may be, and probably are, actually the same. (Everything's a circle.)
Spheres, Disks, Balls, Spirals, Waves, Loops, Branes, Strings: All Circles
Any shape, whether it is primarily circular, or linear, or, more regularly, a combination of both, is, most basically, a circle. Because the circle must continually move (or appear to move) we end up with various shapes which, at their foundation, resolve to the (a) circle.
Since a line is always (must always be) the (moving) diameter of a circle, we can find (notice, observe) the line and curve in every entity (no two entities are exactly alike, except for their circular and linear relationship with the circle and line).
This ubiquitous, but arbitrary, circle-line relationship results in a variety of varieties which we view as size and shape; sizes and shapes can also be interpreted as relative speed (it takes time to make a spiral or a sphere or a wave); the circle-line reality untangles the speed-size or time-space dilemma (we cannot have one without the other but one cannot dictate, and-or is not superior, to the other).
There is no regular mathematics formula that will deliver all answers (no one shape) except for the basic one-two-three relationship between circle-diameter-pi. Since you can mix and match any two of the three, and since the names are interchangeable, any formula will reduce, ultimately, and eventually, to a circle (not a sphere, or a spiral, or a wave).
Dimension
Dimension is caused by the relationship of one circle to another. Dimension, also, is arbitrary, according to an observer, who can separate, at will (because pi is the only observer), one from two from three dimensions.
Zero dimension (universe or circle of invisible, abstract, form) is the idea, or place, or time, where pi and its diameter and circumference are not-yet-expressed. Not-yet-expressed is extremely powerful since anything is possilbe (probable) and it is totally up to the observer (pi, individual or collective relationship to pi) what is produced (observed, manifested, real).
Two or three dimensions may produce a concrete reality (and may not, again, depending, always, on the observer). One observer (an iteration of pi) may choose not to 'know' (observe) another. However, any observer can produce an observation which other observers will be willing to observe.
The Basics, Then
The basic symbols, then...One fact describes every universe: the opposite is also true. This fact describes, and is, a circle.
Conservation of the Circle is the basis for reality.
How to think in a circle...