Geometric Patterns At the Basis of Reality

Western psychological interpretations According to the psychologist David Fontana, its symbolic nature can help one "to access progressively deeper levels of the unconscious, ultimately assisting the meditator to experience a mystical sense of oneness with the ultimate unity from which the cosmos in all its manifold forms arises."[26] The psychoanalyst Carl Jung saw the mandala as "a representation of the unconscious self,"[citation needed] and believed his paintings of mandalas enabled him to identify emotional disorders and work towards wholeness in personality.[27] See: Mandala

It would be hard for one to see the subjectivity of one's experiences so that they may say, that such a thing could be misleading. If you believe in a way with which consciousness may have some kind of structure then how would you describe that structure? All you see is a body with a brain, or, words that let you know that some kind of intelligence exists behind the tapping of the keys that represented words that materialize here.


Escher Drawing Hands, 1948.

But the idea here is more then that. I became convinced that such methodicalness from a visual representation could be more then the sum of it's part because in a way, it could encapsulate a lot of things. I grasp on to visual reasoning so as to imply that we can receive pictures that are complete unto themself( complete knowledge of), yet hold greater meaning as the symbol is seen in context of an examination of life.

...underwriting the form languages of ever more domains of mathematics is a set of deep patterns which not only offer access to a kind of ideality that Plato claimed to see the universe as created with in the Timaeus; more than this, the realm of Platonic forms is itself subsumed in this new set of design elements-- and their most general instances are not the regular solids, but crystallographic reflection groups. You know, those things the non-professionals call . . . kaleidoscopes! * (In the next exciting episode, we'll see how Derrida claims mathematics is the key to freeing us from 'logocentrism'-- then ask him why, then, he jettisoned the deepest structures of mathematical patterning just to make his name...)

* H. S. M. Coxeter, Regular Polytopes (New York: Dover, 1973) is the great classic text by a great creative force in this beautiful area of geometry (A polytope is an n-dimensional analog of a polygon or polyhedron. Chapter V of this book is entitled 'The Kaleidoscope'....)"

So lets say "you are present" with a experience in your dream time that is totally off the wall. Who is it's manufacturer to have detailed such a scene so as to speak to something quite personal to you, and with it, help you to see the error of your ways? How is complete knowledge gained? You knew better already?:)

Felix Klein on intuition

It is my opinion that in teaching it is not only admissible, but absolutely necessary, to be less abstract at the start, to have constant regard to the applications, and to refer to the refinements only gradually as the student becomes able to understand them. This is, of course, nothing but a universal pedagogical principle to be observed in all mathematical instruction ....

I am led to these remarks by the consciousness of growing danger in Germany of a separation between abstract mathematical science and its scientific and technical applications. Such separation can only be deplored, for it would necessarily be followed by shallowness on the side of the applied sciences, and by isolation on the part of pure mathematics ....

Perhaps you can write a visual interpretation of an image that would likely pass as close to the image that is being described. Do you find familiarity with it or have you see it some where else?

Intuition and Logic in Mathematics by Henri Poincaré

On the other hand, look at Professor Klein: he is studying one of the most abstract questions of the theory of functions to determine whether on a given Riemann surface there always exists a function admitting of given singularities. What does the celebrated German geometer do? He replaces his Riemann surface by a metallic surface whose electric conductivity varies according to certain laws. He connects two of its points with the two poles of a battery. The current, says he, must pass, and the distribution of this current on the surface will define a function whose singularities will be precisely those called for by the enunciation.

The dream is a little hidden door in the innermost and most secret recesses of the soul, opening into that cosmic night which was psyche long before there was any ego consciousness, and which will remain psyche no matter how far our ego consciousness extends.... All consciousness separates; but in dreams we put on the likeness of that more universal, truer, more eternal man dwelling in the darkness of primordial night. There he is still the whole, and the whole is in him, indistinguishable from nature and bare of all egohood. It is from these all-uniting depths that the dream arises, be it never so childish, grotesque, and immoral. Carl Jung

By 'dilating' and 'expanding' the scope of our attention we not only discover that 'form is emptiness' (the donut has a hole), but also that 'emptiness is form' (objects precipitate out of the larger 'space') - to use Buddhist terminology. The emptiness that we arrive at by narrowing our focus on the innermost is identical to the emptiness that we arrive at by expanding our focus to the outermost. The 'infinitely large' is identical to the 'infinitesimally small'. The Structure of Consciousness John Fudjack - September, 1999

Is there not some understanding here of what is gained by a deductive/inductive realizations with regard to our interactions with the world? Is there not some sense here of something topologically significant on a abstract level, that explains this aspect of consciousness? I call it a toposense?

If conceived as a series of ever-wider experiential contexts, nested one within the other like a set of Chinese boxes, consciousness can be thought of as wrapping back around on itself in such a way that the outermost 'context' is indistinguishable from the innermost 'content' - a structure for which we coined the term 'liminocentric'.

Model Building in Life

"...underwriting the form languages of ever more domains of mathematics is a set of deep patterns which not only offer access to a kind of ideality that Plato claimed to see the universe as created with in the Timaeus; more than this, the realm of Platonic forms is itself subsumed in this new set of design elements-- and their most general instances are not the regular solids, but crystallographic reflection groups. You know, those things the non-professionals call . . . kaleidoscopes! * (In the next exciting episode, we'll see how Derrida claims mathematics is the key to freeing us from 'logocentrism'-- then ask him why, then, he jettisoned the deepest structures of mathematical patterning just to make his name...)

* H. S. M. Coxeter, Regular Polytopes (New York: Dover, 1973) is the great classic text by a great creative force in this beautiful area of geometry (A polytope is an n-dimensional analog of a polygon or polyhedron. Chapter V of this book is entitled 'The Kaleidoscope'....)"

I just wanted to show you what has been physically reproduced in cultures. This in order to highlight some of the things that were part of our own make up,  so you get that what has transpired in our societies has been part of something hidden within our own selves.

As I have said before it has become something of an effort for me to cataloged knowledge on some of  the things I learn.  The ways in which to keep the information together. I am not saying everyone will do this in there own way but it seems to me that as if some judgement about our selves is hidden in the way we had gathered information about our own lives then it may have been put together like some kaleidoscope.

Online Etymology Dictionary-1817, lit. "observer of beautiful forms," coined by its inventor, Sir David Brewster (1781-1868), from Gk. kalos "beautiful" + eidos "shape" (see -oid) + -scope, on model of telescope, etc. Figurative meaning "constantly changing pattern" is first attested 1819 in Lord Byron, whose publisher had sent him one.

So to say then past accomplishments were part of the designs, what had we gained about our own lives then?  What page in the book of Mandalas can you have said that any one belonged to you? It was that way for me in that I saw the choices. These I thought I had built on my own, as some inclination of a method and way to deliver meaning into my own life. Then through exploration it seem to contain the energy of all that I had been before as to say that in this life now, that energy could unfold?

Scan of painting 19^th century Tibetan Buddhist thangka painting

Maṇḍala (मण्डल) is a Sanskrit word meaning "circle." In the Buddhist and Hindu religious traditions their sacred art often takes a mandala form. The basic form of most Hindu and Buddhist mandalas is a square with four gates containing a circle with a center point. Each gate is in the shape of a T.^[1][2] Mandalas often exhibit radial balance.^[3]


These mandalas, concentric diagrams, have spiritual and ritual significance in both Buddhism and Hinduism.^[4][5] The term is of Hindu origin and appears in the Rig Veda as the name of the sections of the work, but is also used in other Indian religions, particularly Buddhism. In the Tibetan branch of Vajrayana Buddhism, mandalas have been developed into sandpainting. They are also a key part of anuttarayoga tantra meditation practices.


In various spiritual traditions, mandalas may be employed for focusing attention of aspirants and adepts, as a spiritual teaching tool, for establishing a sacred space, and as an aid to meditation and trance induction. According to the psychologist David Fontana, its symbolic nature can help one "to access progressively deeper levels of the unconscious, ultimately assisting the meditator to experience a mystical sense of oneness with the ultimate unity from which the cosmos in all its manifold forms arises."^[6] The psychoanalyst Carl Jung saw the mandala as "a representation of the unconscious self,"^{[citation needed]} and believed his paintings of mandalas enabled him to identify emotional disorders and work towards wholeness in personality.^[7]


In common use, mandala has become a generic term for any plan, chart or geometric pattern that represents the cosmos metaphysically or symbolically, a microcosm of the Universe from the human perspective.^{[citation needed]}

So what does this mean then that you see indeed some subjects that are allocated toward design of to say that it may be an art of a larger universal understanding that hidden in our natures the will to provide for something schematically inherent? Our nature,  as to the way in which we see the world. The way in which we see science. What cosmic plan then to say the universe would unfold this way, or  to seek the inner structure and explanations as to the way the universe began. The way we emerged into consciousness of who you are?

 The kaleidoscope was perfected by Sir David Brewster, a Scottish scientist, in 1816. This technological invention, whose function is literally the production of beauty, or rather its observation, was etymologically a typical aesthetic form of the nineteenth century - one bound up with disinterested contemplation. (The etymology of the word is formed from kalos (beautiful), eidos (form) and scopos (watcher) - "watcher of beautiful shapes".) The invention is enjoying a second life today - as the model for many contemporary abstract works. In Olafur Eliasson's Kaleidoscope (2001), the viewer takes the place of the pieces of glass, producing a myriad of images. In an inversion of the situation involved in the classic kaleidoscope, the watcher becomes the watched. In Jim Drain's Kaleidoscope (2003), the viewer is also plunged physically inside the myriad of abstract forms, and his image becomes a part of the environment. Spin My Wheel (2003), by Lori Hersberger, also forms a painting that is developed in space, spilling beyond the frame of the picture, its projected image constantly changing, dissolving the surrounding world with an infinite play of reflections in fragments of broken mirror. The viewer becomes one of the subjects of the piece. (Not the subject, as in Eliasson's work, but one of its subjects.)
See: The End of Perspective-Vincent Pécoil.

Would there be then some algorithmic style to the code written in your life as to have all the things you are as some pattern as to the way in which you will live your life? I ask then what would seem so strange that you might not paint a picture of it? Not encode your life in some mathematical principle as to say that life emerge for you in this way?

Although Aristotle in general had a more empirical and experimental attitude than Plato, modern science did not come into its own until Plato's Pythagorean confidence in the mathematical nature of the world returned with Kepler, Galileo, and Newton. For instance, Aristotle, relying on a theory of opposites that is now only of historical interest, rejected Plato's attempt to match the Platonic Solids with the elements -- while Plato's expectations are realized in mineralogy and crystallography, where the Platonic Solids occur naturally.Plato and Aristotle, Up and Down-Kelley L. Ross, Ph.D.

See Also:

• The Nobel Prize in Physics 1914 Max von Laue
• Quasicrystal: Prof. Dan Shechtman
•  Quasicrystal and Information

Exploring Subtle Levels of Consciouness

 In 2004 I struggled to define the mapping...while speaking in terms of Kaluza/Klein and fifth dimension. Today I am fully aware of the mathematically representation in terms of the use of dimensions.  At the time this was related to spirit.  I was searching for how to describe where ideas came from?

This also forms the basis of my thoughts about geometry.

Betrayal of Images" by Rene Magritte. 1929 painting on which is written "This is not a Pipe"

 
 Betrayal of Images" by Rene Magritte

While a theoretical train of thinking is demonstrated below....subjectively dream information study and my own exploration help to form my thoughts.

Metacognition is defined as "cognition about cognition", or "knowing about knowing."[1] It can take many forms; it includes knowledge about when and how to use particular strategies for learning or for problem solving.[1]

Thus, primary consciousness refers to being mentally aware of things in the world in the present without any sense of past and future; it is composed of mental images bound to a time around the measurable present.[1]

By contrast, secondary consciousness depends on and includes such features as self-reflective awareness, abstract thinking, volition and metacognition.[1][2]

The AIM Model introduces a new hypothesis that primary consciousness is an important building block on which secondary consciousness is constructed.[1]

*** 

Partial map of the Internet based on the January 15, 2005 data found on opte.org. Each line is drawn between two nodes, representing two IP addresses. The length of the lines are indicative of the delay between those two nodes. This graph represents less than 30% of the Class C networks reachable by the data collection program in early 2005. Lines are color-coded according to their corresponding RFC 1918 allocation as follows

Part of the exploration was to understand that we can build models for apprehension and this was my intent since lacking a teacher. I had to think about how knowledge could be held to being truthful within self. So I looked at my tendency with which to class information in an architectural way so as to house that information. As well to understand the meaning of mandalas and how these are housed in our makeup so as to reveal our previous attempts at soul full unification.

Was this tendency within my own self evident in others? Well ultimately recognizing indeed we each are different how is it you have concluded such a sate of mind as to the reason for believing what you do? So this is a conclusive statement for you and a connection to the way in which you will engage the world? Never mind that you will inherently try and describe what is intuitive to you so as to list the attempt at philosophically showing such "a location" as to being inductive/deductive so as to form what is self evident to you? The synapse?

Consider then you are an individual in your own court of justice? Judge and jury about the way in which you conduct yourself? Teacher and student as to the way in which you will acquire knowledge in life? Who will you look for so as to find these truths, but not to recognize as a soul that you will acquire these truths as a progress of your desire to be truthful? To evolve? How will you weight these things?

Historically then, I built a pyramid. The geometric proportions were to show how we can internalize and house information about ourselves. Early lessons were to understand that ancient minds were locked toward thinking about "lines of light and shadows" so as to direct this line to point toward other things?


Philosophically to me, "line of shadow and light" were in itself demonstrative of this idea of a geometrical explanation to how we might explain our first attempts at "components of that reality?" The sun had to be a source of inspiration?

Is the sun a centralize thing in our own being so as to say that our expressive lives are now the objects of reality? Is this en tropically pleasing to you? So how do you touch that source? How do you align yourself internally?

In that exploration, this was the ultimate realization. Some may describe it as an epilepsy while sensing/feeling this electricity that runs through you? How powerful a motivator so as to describe that in each of us such an alignment can take place?

RE: Jung Typology Test

 I am re-posting this blog subject today taken from 2008 

Also it seems that having taken test Monday, November 24, 2008  

Via David Berenstein, via Clifford Johnson, I've piped our blog into the Typealyzer, which allegedly “is able to guess which personality type a text represents” based on a statistical analysis of words and sentences. Here is the result:See:Backreacting Personality

The question of one's honesty  or change in attitude make come into play  while recognizing the highly subjective analysis of this test,  the variations from one entry to another test wise would be of some concern. I guess in a sense this is the understanding of where science asks that we remember the foundation from which we examine the subjective nature of models used in order to objectively place ourselves toward consideration.


The topic of the post is more important to me is when we can drawn from the subconscious the very model offered up by recognizing the depth of our examinations of ourselves. Why I mention Mandalas or Liminocentric structures. Labels can give more understanding here.

Take the Test here.

* Your type formula according to Carl Jung and Isabel Myers-Briggs typology along with the strengths of the preferences
* The description of your personality type
* The list of occupations and educational institutions where you can get relevant degree or training, most suitable for your personality type - Jung Career Indicator™

About 4 Temperaments

So you acquiescence to systemic methods in which to discern your "personality type." You wonder what basis this system sought to demonstrate, by showing the value of these types? So why not look? Which temperament do you belong too?

Idealist Portrait of the Counselor (INFJ)

Counselors have an exceptionally strong desire to contribute to the welfare of others, and find great personal fulfillment interacting with people, nurturing their personal development, guiding them to realize their human potential. Although they are happy working at jobs (such as writing) that require solitude and close attention, Counselors do quite well with individuals or groups of people, provided that the personal interactions are not superficial, and that they find some quiet, private time every now and then to recharge their batteries. Counselors are both kind and positive in their handling of others; they are great listeners and seem naturally interested in helping people with their personal problems. Not usually visible leaders, Counselors prefer to work intensely with those close to them, especially on a one-to-one basis, quietly exerting their influence behind the scenes.

ounselors are scarce, little more than one percent of the population, and can be hard to get to know, since they tend not to share their innermost thoughts or their powerful emotional reactions except with their loved ones. They are highly private people, with an unusually rich, complicated inner life. Friends or colleagues who have known them for years may find sides emerging which come as a surprise. Not that Counselors are flighty or scattered; they value their integrity a great deal, but they have mysterious, intricately woven personalities which sometimes puzzle even them.

Counselors tend to work effectively in organizations. They value staff harmony and make every effort to help an organization run smoothly and pleasantly. They understand and use human systems creatively, and are good at consulting and cooperating with others. As employees or employers, Counselors are concerned with people's feelings and are able to act as a barometer of the feelings within the organization.

Blessed with vivid imaginations, Counselors are often seen as the most poetical of all the types, and in fact they use a lot of poetic imagery in their everyday language. Their great talent for language-both written and spoken-is usually directed toward communicating with people in a personalized way. Counselors are highly intuitive and can recognize another's emotions or intentions - good or evil - even before that person is aware of them. Counselors themselves can seldom tell how they came to read others' feelings so keenly. This extreme sensitivity to others could very well be the basis of the Counselor's remarkable ability to experience a whole array of psychic phenomena.

When you "discover a symbol" as indicated in the wholeness definition presented below, you get to understand how far back we can go in our discoveries. While I talk of Mandalas, I do for a reason. While I talk of the inherent nature of "this pattern" at the very essence of one's being, this then lead me to consider the mathematical relations and geometries that become descriptive of what we may find in nature with regards to the geometric inclinations to a beginning to our universe? How nice?

Wholeness. A state in which consciousness and the unconscious work together in harmony. (See also self.)

Although "wholeness" seems at first sight to be nothing but an abstract idea (like anima and animus), it is nevertheless empirical in so far as it is anticipated by the psyche in the form of spontaneous or autonomous symbols. These are the quaternity or mandala symbols, which occur not only in the dreams of modern people who have never heard of them, but are widely disseminated in the historical records of many peoples and many epochs. Their significance as symbols of unity and totality is amply confirmed by history as well as by empirical psychology.[The Self," ibid., par. 59.]

Update:

See:Expressions of Compartmentalization

Einstein Tower

Just wondering when the Einstein Tower was built?

See:Science Park "Albert Einstein" Potsdam

The connection to the design of the tower and the comment on pueblo design sparked familiarity with a image of a tower on the edge of the grand canyon and my posting on the Old One. 13.7 blog just recently had a blog posting on the religiosity of Einstein.

Desert View Watchtower was built in 1932 and is one of Mary Colter's best-known works. Situated at the far eastern end of the South Rim, 27 miles (43 km) from Grand Canyon Village, the tower sits on a 7,400 foot (2,256 m) promontory. It offers one of the few views of the bottom of the Canyon and the Colorado River. It is designed to mimic an Anasazi watchtower though it is larger than existing ones.[18]

I was wondering if there was some correlation that inspired Einstein with the Einstein Tower with that architectural design of the native culture?

 ***

It is designed to mimic an Anasazi watchtower though it is larger than existing ones

Picture of Einstein was in 1931 while tower was 1932?

Anyway, I thought this picture important from a mandalic understanding of giving a historical example of what can be embedded in the very soul of an individual, as if this is an example of the foundations of mathematics depicted even historically cast in design and what is common among human beings today in their foundational search for meaning.

Fred Kabotie (c.1900 - 1986) was a famous Hopi artist. Born Nakayoma (Day After Day) into the Bluebird Clan at Songo`opavi, Second Mesa, Arizona, Kabotie attended the Santa Fe Indian School, and learned to paint. In 1920, he entered Santa Fe High School, and commenced a long association with Edgar Lee Hewett, a local archaeologist, working at such excavations as Jemez Springs, New Mexico and Gran Quivira. He also sold paintings for spending money.

In 1926, Kabotie moved to Grand Canyon, Arizona, working for the Fred Harvey Company as a guide. After various other jobs and travel, he was hired in 1932 by Mary Colter to paint his first murals at her new Desert View Watchtower.

Kabotie went on to a distinguished career as a painter, muralist, illustrator, silversmith, teacher and writer of Hopi Indian life. He continued to live at Second Mesa. Kabotie was instrumental in establishing the Hopi Cultural Center and served as its first president.

Fred's son Michael Kabotie (born 1942) is also a well-known artist.

Source: Jessica Welton, The Watchtower Murals, Plateau (Museum of Northern Arizona), Fall/Winter 2005. ISBN 0897341325

Rising Above the Duality

The Tao of heaven is to take from those who have too much and give to those who do not have enough. Man’s way is different. He takes from those who do not have enough to give to those who already have too much. (verse 77. Tr. Gia Fu Feng)

Gia-Fu Feng (1919 - 1985) was prominent as both an English translator (with his wife, Jane English) of Daoist classics and a Daoist teacher in the United States, associated with Alan Watts, Jack Kerouac, The Beats and Abraham Maslow.

He was born in Shanghai in 1919 into a fairly wealthy family of some influence. His father was a prominent banker, one of the founders of the Bank of China; his mother died when he was 16. He was educated privately in his own home in the classics of the Chinese tradition and in private boarding schools. He was for several months tutored by the wife of the British Consul-General. His family members were Buddhist. For the springtime holiday, they travelled to the ancestral tombs in Yu Yao, in Chekiang Province, for the spring festivals. During the Japanese Occupation, Gia-Fu went to Kunming in Free China to complete his Bachelor's Degree at Southwest Associated University in the liberal arts. Gia-Fu once commented that he had become a millionaire three times in his life, giving his money away each time. The first time was when he worked for the bank in Kunming.

Xiuzhen TuThis is the Yin-yang symbol or Taijitu (太極圖), with black representing yin and white representing yang. It is a symbol that reflects the inescapably intertwined duality of all things in nature, a common theme in Taoism. No quality is independent of its opposite, nor so pure that it does not contain its opposite in a diminished form: these concepts are depicted by the vague division between black and white, the flowing boundary between the two, and the smaller circles within the large regions.

Secret of the Golden Flower

Chinese Taoists believe this bright image has close relation to the "Original Essence", "Golden Flower", and "Original Light" . If the practitioner sees the Mandala, that means he/she see part of "Original Essence", and he/she are entering the beginning level of the immortal essence. In the book of Wilhelm's translation, he describes some of the pictures of the Mandala.

Some might know of my references to the Mandala throughout this blog and more specific the understanding of what the "Pure land" means. If you had never known of what the Koan symbolizes then how would you know to understand that the communication of that "very essence of quality" is transmutable to another human being in it's most pure from?

The Golden Flower is the Elixir of Life (literally, golden ball, golden pill). All changes of spiritual consciousness depend upon the Heart. Here is a secret charm, which, although it works very accurately, is yet so fluent that it needs extreme intelligence and clarity, and complete absorption and calm. People without this highest degree of intelligence and understanding do not find the way to apply the charm; People without this utmost capacity for concentration and calm cannot keep fast hold of it.

***

This is a photograph of author and philosopher Robert M. Pirsigtaken by Ian Glendinning on the eve of the Liverpool conference of 7th July 2005.

What is in mind is a sort of Chautauqua...that's the only name I can think of for it...like the traveling tent-show Chautauquas that used to move across America, this America, the one that we are now in, an old-time series of popular talks intended to edify and entertain, improve the mind and bring culture and enlightenment to the ears and thoughts of the hearer. The Chautauquas were pushed aside by faster-paced radio, movies and TV, and it seems to me the change was not entirely an improvement. Perhaps because of these changes the stream of national consciousness moves faster now, and is broader, but it seems to run less deep. The old channels cannot contain it and in its search for new ones there seems to be growing havoc and destruction along its banks. In this Chautauqua I would like not to cut any new channels of consciousness but simply dig deeper into old ones that have become silted in with the debris of thoughts grown stale and platitudes too often repeated.

Zen and the Art of Motorcycle Maintenance Part 1 Chapter 1.(Bold added by me for emphasis)

This article is more about what Robert Maynard Pirsig accomplished. What I had learnt as I came to realize what the value of thought I had taken from the reading. I had already read a lot over the years, and it was that reading that brought it together for me, so that now I can describe what I feel needs to be done.

The title of this post is specific in that the Tao here is the realization that we can constantly move in this relation. Is still to remain part of the earthly state of existence, as the "square" shows in my model of thinking.

Here in this mandala it is interesting to see how such a construction of the diagram becomes focused. Foursquare. If you look at the pyramid and us being over top of, then we can keep this in mind. The Seal of Solomon or Star of David is a symbolism of a kind that warrants the mind to think of involution and evolution. The central location is the place of the heart. Those six smaller triangles then become what?:)

Central to this evolution of the thinking, and the rising above this duality, is to recognize "the Heart" in this relation. It is the idea of the quality that must come into one's thinking to see that what transpires after the distinction of such dualism is to become part of the quality of the new thinking mind. Then the thinking mind has been raised in a "energy configuration" that holds all thoughts to a transforming hierarchy within the pyramid, as a colour of gravity depiction and ascension, as possible in each and every person.

The dream is a little hidden door in the innermost and most secret recesses of the soul, opening into that cosmic night which was psyche long before there was any ego consciousness, and which will remain psyche no matter how far our ego consciousness extends.... All consciousness separates; but in dreams we put on the likeness of that more universal, truer, more eternal man dwelling in the darkness of primordial night. There he is still the whole, and the whole is in him, indistinguishable from nature and bare of all egohood. It is from these all-uniting depths that the dream arises, be it never so childish, grotesque, and immoral. Carl Jung

The very image at the bottom of this blog page again is a type of koan that was given to me "in literal form" to come to understand it's message. I pass it onto others so that they might consider it's message. It is about life, and about the transformation to a spiritual person. This is a necessary recognition of when we choose to "rise above that dualism" to become situated in the heart mind.

This is also the time when we take the earthly design, and move over top of the pyramid, to see that what lays before us is a recognition of the cyclical nature that dualism enfolds into the living of, as a human being. One needs the heart in order to rise to the higher principals of the intellect, taking that energy and transforming it into new thought processes. So then the pyramid then becomes a dynamical model of the human body and mind.

To ever get the sense of this momentum of opposites transforming into the one other is to realize that a pressure exists on the forearm. IN this contact a oppositional force will cause the realization that if you were empty, no resistance, to allow that opposing movement to move forward. You allow it to become centrifugal, as if, in a rotation, to return the force back onto itself.

Such momentums are the things which propel my own mind through the vast journeys of space on a imaginary spaceship, that while in the Lagrangian mode, one can understand how such rockets can travel with the least amount of energy expedited.

Such an exchange is the idea then that the economy in caught in this kind of action of dualism?

***

See:

Distortions of Reality

Ancient Notion of "Matter Four Squared" Called Earth

Orators Reduced to Written Words

Oh Dear!... How Technology has Changed Things

Centroids

Conclusion:The state of mind of the observer plays a crucial role in the perception of time.Einstein

It is often I consider the Center of Gravity(Mass) as an illustration of the perspective that exists "around and within us" as a product of the natural world. We are limited by our own knowledge, yet when given, and lead to observation of what is natural in our world, we see where we had not seen before.

\bar z = \frac{\int z dm}{m}The center of gravity (or mass), abbreviated as COM, of any object is that point within the object upon which gravity (or any body force) acts, regardless of the orientation of the object. The COM of an object may be calculated by using the principle of equilibrium.

First off you must know that I work according to a set of principles that were discovered after a time through "subjective reflection" on the nature of mind and how it works. Of course I am no expert here, but the principles themself are realizable as an active function in the recognition of how one might interpret the world.

\bar y = \frac{\int y \rho dV}{\int \rho dV}In the event that the density ρ of an object is not uniform throughout, the calculation of COM may be done by a similar set of equations involving the addition of density to the analysis.

It is by taking one to recognisance of the title of this blog entry that I wanted to discuss the "subjective part" and the understanding of the "mathematical construct" that one, in my opinion exists. Just as we progress to understand the natural world around us, I believe these are synonymous with each other.

\bar Y = \frac{\sum m \bar y}{\sum m}If a body is made up of multiple sections, each of which has a unique mass, the method for evaluating the centroid of that body is to evaluate the composite body by finite element analysis of each of the sections through the use of moment balancing, as above.

Liminocentric structures



You can find much on this site in regards to this issue, and I now relate centroid for consideration in the case of this topic. I presented it at the Backreaction site today to show an advancement in the thinking as we move to incorporate the knowledge. As we come to understand the natural world around us.

Giving earth a new understanding in terms of its densities and it's relation to the gravitational contribution, it has in our new views of the globe, helped me learn and understand the feature of gravity as it extends to the cosmos.

I have taken it a step further as many of you know to include the emotive states as valued physiological relations to what manifests in the immediate environs of the body home. While this is a far cry from the understanding of gravitational research it was inevitable for me to see an extension of how one can topological relate to the world, in this inductive/deductive mode to reason.

While living on this earth, we always come home for reflection, and if any have not taken stock of what has accumulated during the day, then it is inevitable that is will come to reside very close to home as one sleeps through the nocturnality night. This research of subjectivity and mind had to entail "all of our activities." It had to include an understanding of the "mathematical constructs" that we observe, in order to relate to nature.

List of Centroids

Shape	Figure			Area
Triangular area
Quarter-circular area
Semicircular area
Quarter-elliptical area
Semielliptical area	The area inside the ellipse and above the axis
Semiparabolic area	The area between the curve and the axis, from to
Parabolic area	The area between the curve and the line
Parabolic spandrel	The area between the curve and the axis, from to
General spandrel	The area between the curve and the axis, from to
Circular sector	The area between the curve (in polar coordinates) and the pole, from to
Quarter-circular arc	The points on the circle and in the first quadrant
Semicircular arc	The points on the circle and above the axis
Arc of circle	The points on the curve (in polar coordinates) , from to

Why are Planets Round?

It is always interesting to see water in space.

Image: NASA/JPL-

Planets are round because their gravitational field acts as though it originates from the center of the body and pulls everything toward it. With its large body and internal heating from radioactive elements, a planet behaves like a fluid, and over long periods of time succumbs to the gravitational pull from its center of gravity. The only way to get all the mass as close to planet's center of gravity as possible is to form a sphere. The technical name for this process is "isostatic adjustment."

With much smaller bodies, such as the 20-kilometer asteroids we have seen in recent spacecraft images, the gravitational pull is too weak to overcome the asteroid's mechanical strength. As a result, these bodies do not form spheres. Rather they maintain irregular, fragmentary shapes.

See:Isostatic Adjustment is Why Planets are Round?