Kaleidoscopic Pattern Metaphorically Used

The largeness of this apolytope looses the distinction of it’s lines when it is displayed to largely?Garrett Lisi may have pinpointed aspect of this flower as he points to the petals? I had to look for how he descriptively displayed the pattern of those petals, as he choose to represent this expression as a “modality in perception.”

“…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 left a remark at Clifford’s blog in relation to the flower, because it is very symbolic to me about what can emerge within context of our own consciousness. That it could encompass my whole life. I would not present this perspective if I did not realize there was a functioning pattern within myself that I identified through study of my own nature.

BEHOLDING beauty with the eye of the mind, he will be enabled to bring forth, not images of beauty, but realities, for he has hold not of an image but of a reality, and bringing forth and nourishing true virtue to become the friend of God and be immortal, if mortal man may. Would that be an ignoble life? PLATO

See:Beauty and Asymmetry

This pattern becomes reflective of how one can assign one’s belief’s to the world, and this is how I see this as an aspect in each of us. How this pattern is the reflection of what exists as a very bright light at our centres. This to me is the energy force and momentum that moves our lives to the expressions that we do, while it also reveals the aspect of the life, and the expressions which are shadows of the very reflection of that light.


A kaleidoscopic pattern made using a simple toy kaleidoscope tube.

The kaleidoscopic pattern metaphorically used as an expression of all life for me then? Now, there are other images besides flowers that also occupy my mind I perceive as holding an expressive tendency of the energy expression as a pattern of being.

See: here Also see:Iris recognition

Now sure I could be pegged as some one who delves on the fringes of what is the shadows of things, and while being perceived as such, is somehow ineligible to be part of this commentary on the energy of expression, as a pattern in one’s life? Yet I do not believe that any of us can be said not to have this privilege, because I see it is an integrate part of our persons and our characters.

Yes, you can look at the whole person, and the matters that describe the reality, but it is much more that energy can explode into this reality that exists, and it all came from some centre?

Yes it’s true I believe that the tunnel to the light, is a perceived way in which the soul in expression manifests itself into the world we called waking reality. It provides new meaning for, “light at the end of the tunnel” and how far an introspective view shall you take this to mean, we have come to a clearer perception of the reality of the situation in your life? But yes, we sleep and life consolidates too.

It would not to be to far off the mark that the seed and it’s growth could mean much more as we reread the quote I give of Plato’s, that has become the food for thought about life as an “expression of being.” Let’s look at again now in context of this post?

“AND we should consider that God gave the sovereign part of the human soul to be the divinity of each one, being that part which, as we say, dwells at the top of the body, inasmuch as we are a plant not of an earthly but of a heavenly growth, raises us from earth to our kindred who are in heaven. And in this we say truly; for the divine power suspended the head and root of us from that place where the generation of the soul first began, and thus made the whole body upright. When a man is always occupied with the cravings of desire and ambition, and is eagerly striving to satisfy them, all his thoughts must be mortal, and, as far as it is possible altogether to become such, he must be mortal every whit, because he has cherished his mortal part. But he who has been earnest in the love of knowledge and of true wisdom, and has exercised his intellect more than any other part of him, must have thoughts immortal and divine, if he attain truth, and in so far as human nature is capable of sharing in immortality, he must altogether be immortal; and since he is ever cherishing the divine power, and has the divinity within him in perfect order, he will be perfectly happy. Now there is only one way of taking care of things, and this is to give to each the food and motion which are natural to it. And the motions which are naturally akin to the divine principle within us are the thoughts and revolutions of the universe. These each man should follow, and correct the courses of the head which were corrupted at our birth, and by learning the harmonies and revolutions of the universe, should assimilate the thinking being to the thought, renewing his original nature, and having assimilated them should attain to that perfect life which the gods have set before mankind, both for the present and the future.”

Plato from Timaeus, 90a-d, translated by B. Jowett

What use any author if he cannot point out the “depth of thought” that one can go into by leaving a “tidbit of information” so that one can be motivated to look at the whole picture and not just, “part of a mystery?” An assumption is made of the person, and from it the world views settles accordingly. Life becomes easy wrapped then to this meaning and we soon learn, where each of us has left “the synergy of the situation they are in,” and realized, the counterpart is and will always hold a greater meaning. That we share this aspect of nature we have come to perceive.

Crab apple blossom We planted this in memory of a grandchild called Summer, who passed after being born. It was a way to remember, that life is “spring’s eternal.” Unfortunately, we had to leave it behind as we moved on, yet, is holds greater meaning now that we remember her, as we look at the blossoms.

If one is intuitive enough they can read deeper into this then they could have before? See beyond their nose?:)

The pathway of expression is an indelible feature then in my mind that it can follow an expression, and what was the origination of this motivation? If it is life as we know it, and it can impel a whole universe, why cannot this energy be impelled by some motivation from within you? All life?

See: Rankin Eyescapes

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7 Responses to Kaleidoscopic Pattern Metaphorically Used

  1. Phil Warnell says:

    Hi Plato,I have been intrigued by Garrett Lisi’s vision since he first proposed it. However, what is missing for me in this picture is the dynamics of reality. I display here what perhaps Garret’s vision might look like in the dynamical sense, where time is included as a fundamental and necessary part.Best,Phil

  2. Plato says:

    I you look at the top image I show of E8 and superimpose this picture over the diagram, then the petal reference may be understood in the context I was applying it.Garrett Lisi Who would have thought the elemental situation there in that diagram could have occupied such a space and then think that the dynamical situation could have elements of 3 dimensions of time and the one of space? Does this even make sense?But yes, a Lisi fractal? Simple, beautiful, and complex?:) Bee lists alternative aspects of the way that she envisions it in contrast to one I present as well in comment section of Garrett Lisi interview on her site, that is a bit more colourful, but not as colourful, as hers.Cosmic Variance a has a cake by Julianne that when looked at above has the inclinations of such a design?:) It seems we are applying all kinds of meaning to the E8 diagram without understanding the full implications. You have to explain your version much more in depth, while of course I am being superficial, while searching the deeper meaning of a given space.The squares, triangle all mean something in relation to Lisi’s article. Read the article by Lisi and then I think we gain some perspective of the complexity of the world he operates in?

  3. PlatoHagel says:

    I you look at the top image I show of E8 and superimpose this picture over the diagram, then the petal reference may be understood in the context I was applying it.Garrett Lisi Who would have thought the elemental situation there in that diagram could have occupied such a space and then think that the dynamical situation could have elements of 3 dimensions of time and the one of space? Does this even make sense?But yes, a Lisi fractal? Simple, beautiful, and complex?:) Bee lists alternative aspects of the way that she envisions it in contrast to one I present as well in comment section of Garrett Lisi interview on her site, that is a bit more colourful, but not as colourful, as hers.Cosmic Variance a has a cake by Julianne that when looked at above has the inclinations of such a design?:) It seems we are applying all kinds of meaning to the E8 diagram without understanding the full implications. You have to explain your version much more in depth, while of course I am being superficial, while searching the deeper meaning of a given space.The squares, triangle all mean something in relation to Lisi\’s article. Read the article by Lisi and then I think we gain some perspective of the complexity of the world he operates in?

  4. Plato says:

    An Exceptionally Simple Theory of EverythingAuthors: A. Garrett Lisi(Submitted on 6 Nov 2007) Abstract: All fields of the standard model and gravity are unified as an E8 principal bundle connection. A non-compact real form of the E8 Lie algebra has G2 and F4 subalgebras which break down to strong su(3), electroweak su(2) x u(1), gravitational so(3,1), the frame-Higgs, and three generations of fermions related by triality. The interactions and dynamics of these 1-form and Grassmann valued parts of an E8 superconnection are described by the curvature and action over a four dimensional base manifold.Don’t worry I’m still scratching my head:)

  5. PlatoHagel says:

    An Exceptionally Simple Theory of EverythingAuthors: A. Garrett Lisi(Submitted on 6 Nov 2007) Abstract: All fields of the standard model and gravity are unified as an E8 principal bundle connection. A non-compact real form of the E8 Lie algebra has G2 and F4 subalgebras which break down to strong su(3), electroweak su(2) x u(1), gravitational so(3,1), the frame-Higgs, and three generations of fermions related by triality. The interactions and dynamics of these 1-form and Grassmann valued parts of an E8 superconnection are described by the curvature and action over a four dimensional base manifold.Don\’t worry I\’m still scratching my head:)

  6. Plato says:

    From site above and taken from the the FQXi comment section.-Question 2: Are these 248 symmetries just symmetries in rotation, and mirror symmetries? Are there other symmetries?Garrett Lisi:There are other symmetries. They are not easy to describe, but together they make up E8. The pretty picture of the E8 root system describes how the 248 symmetries are related.It is possible though to describe the symmetries of E8 in terms of the rotational symmetries of the root system polytope in eight dimensions. If you do this… there are 696,729,600 rotational symmetries! It’s a very beautiful and complicated shape.

  7. PlatoHagel says:

    From site above and taken from the the FQXi comment section.-Question 2: Are these 248 symmetries just symmetries in rotation, and mirror symmetries? Are there other symmetries?Garrett Lisi:There are other symmetries. They are not easy to describe, but together they make up E8. The pretty picture of the E8 root system describes how the 248 symmetries are related.It is possible though to describe the symmetries of E8 in terms of the rotational symmetries of the root system polytope in eight dimensions. If you do this… there are 696,729,600 rotational symmetries! It\’s a very beautiful and complicated shape.

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