More Rainbow GeoKone Generated Fractal Geometry Art

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Some recently discovered look from GeoKone.NET.
Fore more art, Check out my tumblr page at http://indigineous.tumblr.com/

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8 loop, infinity, heart energy, torus

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Vesica Pisces, Duality, Balance

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Opening Up, DMT, Spiritual


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Love, Purity, Bliss

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Discovery, Construction

What do you think ?

Created utilizing the Rotate Hue animation option in GeoKone.NET.

 

Programming Sacred Geometry: Understanding the Circle

How does one go about programming and understanding Sacred Geometry ? This is what I want to know, and am in the process of doing, so I might as well as try to explain my learning process to others too.

This can be pretty basic stuff if you know anything about graphics programming, but for those who are still starting their graphics programming careers this is all stuff that has to be understood in order to create more interesting patterns :) Also, many tutorials focus on the technological and mathematical side of things, I like to focus on actually understanding  and explaining what happens behind the process. So, here is the first part, hope you enjoy :)

Understanding the Circle

Basically it all comes down to understanding this picture:

Drawing a Circle using sin and cosine functions

Drawing a Circle using sine and cosine functions

How to create and draw a circle is the basic corner of sacred geometry everywhere. Drawing or creating a perfect circle manually without using any tools is very dfficult. This is something that builders all around the world know. But we must have been able to draw circles before inventing a computer or without using drawing compass to achieve it, so how would one go on doing something like this ?

The key is to figure out how would an human create a circle, because this way of thinking comes natural to us. We are not computers or calculators, so radians and degrees and whatnot can get confusing.

Humans are good in facing and understanding the Four Cardinal Directions and halving distances between two points. These things come naturally to us, so it’s best to use natural methods to learn things.

This way we can always think of the process of how to do it, and not just memorize equations that are full of strange symbols (which is btw the most common method taught in schools.. memorize stuff you are being told, understand later if you care to make the effort… or in the rare cases where the teacher is dedicated enough and loves the subject, you might even get a good explanation of How Things Work actually)

Anyway, I like to use the sticks and ropes analogy, as it is easy to understand and visualize. This is how to draw a circle using only two sticks and a piece of rope:

Drawing a Circle using sticks and ropes

Drawing a Circle using sticks and ropes

  1. Place one stick where you would like your circle to be. This is called the Origo.
  2. Figure out how big you want the circle to be, and cut a piece of rope accordingly. This will define the width of half of the circle, or the Radius.
  3. Tie the rope to the stick in the origo and connect another stick to the loose end of the rope
  4. Mark all the Four Directions around the origo with this newly connected stick, facing North, East, South and West and placing a mark at the distance of the rope. These are called Co-ordinate Points.
  5. Split the distance in half between any two co-ordinate points and mark another point with the rope from the Origo here to get more accurate circle
  6. Continue this until you have a enough points to form an approximation of the circle

Now that we have computers that know how to calculate angles using the sine and cosine functions, we can draw fairly accurate circles without even understanding how it works.

But if one does not understand how the small things work, understanding the big picture and creating something natural that just works becomes really difficult. It can become a practice of remembering illogical patterns, equations and symbols, trying out all the different combinations to reach some kind of answer that seems logical, without understanding what happens in the process.

This is why it’s so important in actually understanding the natural functionality of things, what do these symbols actually represent in nature, not just what kind of human invented terms are attached to them. To see behind the equations and beyond :)

In the next part I will actually show how to program a circle and some other shapes using this understanding. Whee!


Is the sinewave just a wannabe squarewave?

It is commonly believed that the analogue sinewave is more a perfect version of it’s digital counterpart, the square wave. I propose that the square wave is actually what the sinewave wants to be. Sinewave is an approximation of the square wave. Square wave is the perfect sinewave. In math, this can be seen with Fourier transformations of different series.

So why does this matter? I believe that the world is operating so that it approaches towards a more perfect state of being. We humans continously quantify, or take samples of the Universe, to make it more perfect. We transform rough approximations into perfect equations, lines, pictures, sounds, movies, art, writing, logic etc. We sample the music we hear into perfect square waves and put them in CDs. We draw the things we see, but more perfect than they are, they they should be. We constantly put things in order, try to categorize things in our mind, arrange zeros and ones into more logical arrays of bits and generally want to bring order into this chaos we live in. So when we are quantifying the Universe around us, we are actually making it more perfect!

Composing

Composing

Sampling the sinewave

Sampling the sinewave

QuantifyingMyself

Quantifying myself

Drawing

Drawing

And not only the artists or creative minds do this. The most primitive form of this is by spreading our DNA code. Creating evolved copies of ourselves is basically trying to make the world a more perfect place. We try to make our bodies perfect, symmetrical and beautiful. We find these things pretty to look at, attractive. Why in our minds is a flower beautiful? Is it because it is approaching the perfect form in colors and shapes ? Are these colors and shapes the goal we are driving towards ? Are we trying to move from the approximation of perfection to the actual perfection ?

Holy trigonometry

Holy trigonometry

Beautiful flower

Beautiful flower

Fractal

Fractal

Sierpinski Triangle

Sierpinski Triangle

That is why the squarewave is more beautiful than the sinewave. It is perfect. A fractal may be beautiful in our eyes, but the perfect from of a fractal is a binary fractal where every node is divided into two equally sized branches in 90 degree angles. This is the perfect way for energy to spread:

Tree fractal

Tree fractal

Binary fractal tree

Binary fractal tree

I believe we just can’t appreciate these binary forms yet. We may find them crude and unsophisticated and find the analog states more closer to the real thing. This is because we are creations of our time and are still developing towards this form of life where everything is digital or more closer to the perfect universe. We constantly try to create ourselves in the different forms of digital media, most notably the Internet. We put information about our lives into this Great Matrix. We upload images, writings, sounds, movies  that we have made. We even communicate through this self created neural network we call Internet. So to speak we try to create copies of ourselves in this network. And try to become omnipotent, everywhere, with everyone or ultimately just One.

And in the future we will succeed. At some point we will create an AI that will be conscious. Our souls will no longer transform to these physical bodies we currently are running around the streets, but we will be transferred to the software programs we created as new bodies for us.  We will be pure energy travelling these binary fractals of universe.

Energy

Energy

Digital Human

Digital Human

And in this form, we are being very close to the purest form of being, pure white light. Pure white light is the goal we are driving towards.  The Universal Truth, The Purest Form Of Being or The Love. The Sun shines towards us all, spreading this purest kind of love around and attracts us towards it. And the most purest form of this energy is the state where only one state exists, one particle, one wave of purest form. Pure true light, all encompassing, filling the whole of being with itself. Then we will all be one and in truly in harmony with Everything.