PLato said,"Look to the perfection of the heavens for truth," while Aristotle said "look around you at what is, if you would know the truth" To Remember: Eskesthai

Friday, June 29, 2012

A Inherent Pattern of Consciousness

This image depicts the interaction of nine plane waves—expanding sets
of ripples, like the waves you would see if you simultaneously dropped
nine stones into a still pond. The pattern is called a quasicrystal
because it has an ordered structure, but the structure never repeats
exactly. The waves produced by dropping four or more stones into a pond
always form a quasicrystal.

Because of the wavelike properties of matter at subatomic scales,
this pattern could also be seen in the waveform that describes the
location of an electron. Harvard physicist Eric Heller created this
computer rendering and added color to make the pattern’s structure
easier to see. See:What Is This?
A Psychedelic Place Mat?

In 1941, Escher wrote his first paper, now publicly recognized, called Regular Division of the Plane with Asymmetric Congruent Polygons,
which detailed his mathematical approach to artwork creation. His
intention in writing this was to aid himself in integrating mathematics
into art. Escher is considered a research mathematician of his time
because of his documentation with this paper. In it, he studied color
based division, and developed a system of categorizing combinations of
shape, color and symmetrical properties. By studying these areas, he
explored an area that later mathematicians labeled crystallography.
Around 1956, Escher explored the concept of representing infinity on a two-dimensional plane. Discussions with Canadian mathematician H.S.M. Coxeter inspired Escher's interest in hyperbolic tessellations, which are regular tilings of the hyperbolic plane. Escher's works Circle Limit I–IV
demonstrate this concept. In 1995, Coxeter verified that Escher had
achieved mathematical perfection in his etchings in a published paper.
Coxeter wrote, "Escher got it absolutely right to the millimeter."

Snow Crystal Photo Gallery I

If you have never studied the structure of Mandala origins of the Tibetan Buddhist you might never of recognize the structure given to this 2 dimensional surface? Rotate the 2d surface to the side view. It becomes a recognition of some Persian temple perhaps? I mean, the video really helps one to see this, and to understand the structural integrity is built upon.

So too, do we recognize this "snow flake" as some symmetrical realization of it's individuality as some mathematical form constructed in nature?

I previous post I gave some inclination to the idea of time travel and how this is done within the scope of consciousness. In the same vein, I want you to realize that such journeys to our actualized past can bring us in contact with a book of Mandalas that helped me to realize and reveals a key of symmetrical expressions of the lifetime, or lifetimes.

Again in relation how science sees subjectivity I see that this is weak in expression in terms of how it can be useful in an objective sense as to be repeatable. But it helps too, to trace this beginning back to a source that while perceived as mathematical , shows the the mathematical relation embedded in nature.