Moebius Twist Image is most evident in the right and left hand. They can be placed together, palm to palm but they cannot be laid on top, superimposed. The face cards in a deck of cards is the same 'twisted' image. To make a card where the image at top and bottom face the same direction, it is necessary to make a transparency of either half and use the back side as the front.

Content:           A drawing of the lattice theory of confinement of quarks

                        A few words about the 'importance of third person observations.

                       A few words about the moebius band.

                       A few words about Carl G. Jung's Psychology of the Transference,

                           and a drawing in his book that duplicates this 'moebius' twist.





Figure   3.1 lattice of points helps physicists understand the field of force that gives rise to the permanent confinement of quarks. Quarks lie only at the vertexes of the lattice. The state of a particle is represented by a purple arrow, which must point in one of two directions a{ each vertex in the front lattice plane. To compare the orientations of two purple arrows one of them must be moved next to the other. A set of rules, represented by the bands that join neighboring vertexes, must be defined to specify the changes made in the orientation of the arrows during transport. The set of rules is a gauge field; it enables an

Arrow to be transported upward or to the right of a vertex, around a square array of four vertexes called a plaquette and back to its starting point. (Transported arrows are green, yellow, blue or pink.) Any set of bands that returns the transported arrow to its original orientation represents the lowest energy state of the gauge field. A set of bands that resembles a Moebius strip, however, cannot be un­twisted: a transported arrow returns to its starting vertex with the opposite orientation. The red arrows represent the lines of force to which the gauge field gives rise.

                                                                FORMATIONS AND THE FOUNDATION OF  THE SQUARE DANCE SET ARE 'MOEBIUS TWIST MIRRORING''.

There are 8 people in a square dance set. these 8 people are coupled into a  binary unit, (2 people = 1 unit) which  means there are 4 binary units in a squaredance set.

The four couples are divided into two binary units, the 'odd numbers 1 and 3' working against the 'even numbers 2 and 4'' (, 4  people = 1  binary unit)

There are several basic formations in the square dance set but each formation has the 'moebius twist mirroring' attribute. This is a fact because although each couple works as a binary unit in the set at one level, the two individuals move independently during the the dance. . Every individual is a member of a binary unit on two levels, because the 4 couples are divided into opposites, the 'odd numbers 1 and 3' working against the 'even numbers 2 and 4.

The 8 individuals have relationships with others during the dance that change with every step, and it is this ever changing relationship that makes it difficult to learn levels beyond mainstream, and that is not too easy either. 

THE IMPORTANCE OF NOT JUDGING THE OTHER.    The 'other' may not really be what you are looking at, because in certain psychologically sensed situations, you may be looking at your self, through a kind of 'lens' created from within. What emerges as the 'other' can really be the other in non-psychologically sensed situations or the 'moebius twist mirroring' can be generating a situation where the individual can see a bit of information formed through the 'mirrored' content.

I have reason to believe it is important to guard one's 'third person' appraisals because: "We tend to become that which we observe." 

William Blake wrote in his Tree of Life allegory that the 'eternals who guard those who sleep, helplessly become that which they observed."  Observation is an ambiguous word. It's doubleness is not obvious until you think about it, but it is used to speak about what is seen as well as what is spoken. 

The psychological conception of 'projection' as it is commonly interpreted involves self observation turned around backwards.

I'm not certain exactly where I read that quotation but I've experienced a rather unexpected connection between what I think about as the 'other', the third person, he, her, it, they, them. Certain thoughts that I remember thinking about one man in particular in a specific situation had an effect on me, such that I really began to do myself, what I had thought this other person ought to do. It was a simple situation, this person thought he had a terrible voice which was a serious handicap in his chosen field: he was a square dance caller. I remember thinking to myself one evening: "He could be a good singer. He should work on his voice." There were other similar 'third person observations' that I remember thinking (????) to myself about this particular person and eventually I began to do all of them myself. "Judge not, lest ye be judged." may have been said in reference to this very powerful mechanism, in certain relationships.

 This strange condition is presented, or to be more accurate re-presented in a story form a psychological condition that is virtually impossible to describe to anyone that has not experienced the effects of it,  as well as the thing itself. It's mental mechanism 'projected' outwards into the physical world, in the well known myth in which Narcissus falls in love with his own image. He cannot recognize it is his own reflection he is talking to, and loving so much and while he relates to his own image, the unfortunate female, Echo repeats back the last works she hears him say to his reflection.  The 'insight' of Narcissus has turned around and is now 'outsight'.

 The term projection is usually defined superficially so I will define it more in depth, from experiences that made it obvious it's a term that must be used with great care. The 'thing observed' and the 'thing described' are both projections in that either one is being defined and named and both are an expression of a  belief. "The thing is what I believe it is..."

 The  moebius twist  can create a band that has only one surface but every point on the band is accessible. Supposedly it was discovered by Augustus Moebius one day when he put his belt on with a half turn and then he examined the result. I'm sure this has happened to billions of other individuals who gave no thought to the result of a strip of leather with a twist in it. I suspect an impulse caused Mr. Moebius to 'wonder' and inquire.

In 1940 I read this definition of a moebius band: "To make a moebius band take an evenly cut strip of paper and twist one end a half turn. Join the ends  with paste. The result is a moebius band. "

I looked at the result, wondering what the use of such a thing could be. I was 9 years old then. I read this definition of a moebius band when I was 9 years old. I read the definition when I was just browsing through a dictionary, which for some reason I liked to do. We had a library in our classroom which we could use freely whenever we'd finished our work.

As I looked at the circle with a 180 degree twist in it a thought came into my mind: "Cut it around it's center, lengthwise."

So I got scissors and cut it around the center, lengthwise. The surprising result was a circle still, twice as long and half as wide.

The thought repeated exactly: "Cut it around it's center, lengthwise."

So I repeated what I'd done. The result of this second 'slicing' was quite surprising. Two slender circles the same length as the first slicing had produced, but they were separated. Yet they were  permanently joined by a knot that I couldn't think of how to loosen.

I discovered the hidden secret of the moebius band as a result of the impulse that I experienced as an instruction, which I obeyed without hesitation. The same impulse repeated itself, and again there was no hesitation in my response to it.

This is THE impulse, it's embedded within an entire world of inner mechanisms that generate as well as restrict thought and a response to it.

That was my second incident in which an impulse that generated a thought caused me to obey instantly, and discover on my own something that I later learned about by reading or being taught or told by someone else what I'd learned privately. I became aware that a full twist, a 360 degree twist produces quite a different result when it's sliced around it's center.

There's more to come about the moebius band and it's form. I believe the 'point itself', can be an individual on this planet, being guided along a continuum that has many 'tracks', that is 'phases, states of mind, modes of perception, in the processes named by C. G. Jung as individuation and more in depth, where a kind of literalness as well as symbolism  requires to be understood, it was named by Emanuel Swedenborg as 'regeneration'.

I thought of it as the 7th sense, but  the way I think of it now is that the body, the physical world, mind/brain and personal experiences are all united into one sense, only one.

But as a moving point, the twist point itself, can be a human on Earth living a continuum shaped like a form of the moebius band. It seems to me this moving point of observation, definition and activity is linked to another dimension, and it's this dimension that is sending out the signal of Time.

This is an opinion I've come to understand from experience that really, literally described its self, among other of it's attributes. It created a conversation built from  huge batches of information that must have been energized in some way although it probably was born when I was born, in my body. The body as a source of information and an object that can be watched with the same detachment that is used to watch others as well as objects was something new to me.