“height rip” is an animation of a scale -2 mandelbox.
I say -2 but that is only approximate, as the scale is manipulated throughout the first half of this animation.
Manipulation of the scale parameter (which does not change the overall size of the box, just the way its structured!) and many other parameter manipulations such as depth of focus and perspective were made possible for this animation – by the addition of a key framing option to the software used (mandelbulber)

sourceforge.net/projects/mandelbulber/

although still very young, this amazing piece of software is able to produce many more wonders than what you see above. In fact I don’t ever think I will do it justice, and it is being updated all the time. As well as the mandelbox there are lots of other 3D types that I will be animating over the next few years – It so easy to use and so much fun – I still wonder inside every day how on earth this is open source (free) There is a god – a fractal god.

The audio used is “kukta” by optick and ciprian – courtesy of 90watts.com

This is the results from my first animation of the 3d fractal known as the “mandelbox”
in this relatively plain 3d fractal animation, I travel towards one corner of the box – revealing its infinite complexity and depth – until I ran out of precision for the mathematical calculations required to produce the images. Thats why it gets a little jerky towards the end!

yes I present to you the daddy of all kaleidoscopes.

you are watching the deep Mandelbrot fractal zoom rendered  to e228 (2^760) that I rendered last month through the kaleidoscope. The closer you get to the end, the more intense the feeling is on your senses.

Watch this and your mind will expand!

the music used was
track one
jens de langer VS vmh – arcturian armitrage
(arjuna-schiks-remix)

track two
satori – blink of an eye

Big Big thanks to 90watts.com for the music

watch the original fractal zoom to e228 here…

http://www.hd-fractals.com/last-lights-on/

The unhelpful heritage vanishes.

HD is ON! so hit full screen!
if you have a slow line just click the HD icon on the player to switch it off.
After rendering my first few animations of the mandelbox – I found my camera skills leaving a lot to be desired, when it came to moving around and into the mandelbox! Some movements were too quick and jerky – whilst others took too long to play out. So I have been trying my video editing skills to resolve the problem.
To smooth the camera’s pitch and roll, I remapped the time of the fast areas to slow them down, that worked, but although the camera had smoothed out, the animation was very jerky as it was only 4-5frames per seconds at some points. Now you can just blend original frames together to create new ones and put them in between the originals – fine if you have at least 15-20fps to play with but when the frame rate is as low as 4-5fps (normally i render at 30fps) it gives bad results. so instead I used a pixel blending technique to create the brand new frames – so that the video could slow down without the animation losing details.

I have decided they were good results – although it led to a longer post production time.
The final product is a
5min.45s
1.3GB
1280×720 res
multi-pass h264 encoded (32,768 kbit/sec) video
aac encoded audio
in an mp4 container.

Audio used is a very nice piece of deep tech house called

“Head Of Beans” by Marten Fisher http://90watts.com/releases/9041

What can I say?  how about the bare facts.

I will let you make up your mind about the animation itself and hope you leave a comment.

so here are the facts…

Two days to set up, and then six months to render, resulted in around forty 1.9GB uncompressed anti-aliased x 4 .AVI files. I added watermarking, fx and time remapping, before multi-pass encoding the 80GB video in h264 (32,768 kbit/sec) and the audio in AAC.

The final product available for instant download is a high quality
13m44s 1.77 GB (1,903,726,592 bytes) .MP4

then I compressed again to a still very watchable 1GB (10,000 kbit/sec) for vimeo.

The final magnification of the mandelbrot fractal is 6.066e+228 (2^760)

want some perspective?

here is a little chart that shows you how large the image of the fractal would be – after the given magnification.

1E6 Vancouver Island
1E9 Jupiter’s radius
1E12 Earth’s orbit
1E18 distance to Alpha Centauri
1E21 Milky Way galaxy
1E30 large doesn’t cover it!
1E42 size of proton to the universe

1E228 so big it hurts…but we did it!

For the record, 1 to 6e228 is like expanding a proton to 70000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000 times the size of the visible universe. (i.e. mindrape)
(Proton has 1 femtometer diameter, universe has 93 billion light year diameter)

I remapped the video from this and remixed another shorter audio track to create A 10 minute version for youtube.

youtube version (10m.00s)

the audio really is something special on this.
A decent stereo/ headphones are seriously recommended
for this deep tech house sound.

a two track mix by yours truly – teamfresh.

track one is tonu su tonu
by ivan masa (pablo rez remix)
Quote
“Pablo Rez surprised us with this strong tech house remix. A track you almost can drop any where, any time”

track two is soul survivor
by solar brothers ft sherry dyanne (moog mix)
Quote
“This version will fit you well, if you’re into the current tech-house sound that is. Expect thick and thumpy synths and basslines. Appropriate for later progress in the evening as well as taking it down a notch, whilst sustaining the energy level. You also want to play this, to make people start bouncing if they’re reluctant somehow”

If you were actually traveling into the fractal, you would be moving faster than the speed of light.

location on the complex plane.

Real number:

-1.768,573,656,315,270,993,281,
742,915,329,544,712,934,120,053,405,549,882,
337,511,135,282,776,553,364,635,382,011,977,
933,536,332,198,647,808,795,874,576,643,230,
034,448,609,820,608,458,844,529,169,083,285,
379,260,833,581,131,961,323,480,667,495,949,
838,043,253,626,912,240,448,884,745,364,662,
832,495,906,454,3

imaginary number:

-0.000,964,296,851,358,280,000,176,242,720,
373,819,448,274,776,122,656,563,565,285,783,
153,307,047,554,366,655,893,028,615,382,795,
071,670,082,888,793,257,893,297,692,452,344,
749,770,824,889,473,425,648,018,389,868,316,
458,205,554,184,217,181,589,930,525,084,269,
263,834,905,711,879,329,676,832,512,425,574,
656,3
The final product for download is the high quality
13m44s 1.77 GB (1,903,726,592 bytes) .MP4

Please comment.
+
Enjoy!

oceans of love
teamfresh

Poincare found out that even a system as simple as this, behaved in unpredictable ways and concluded that the three-body problem was unsolvable. Understanding more complex systems such as the earth’s weather required a new direction of thought. This led to a new brand of science called chaos theory. A theory whose main premise was that, small changes in the initial conditions could result in vast differences in the final outcome.

Chaos theory remained a curiosity until the advent of high speed computers and computer modeling in the 1960′s. In 1961, Edward Lorentz was modeling the earth’s weather with a computer and found that the smallest change at the one-millionth of a decimal point could make his predictions useless. He called this result “The Butterfly effect”.

In the 1970′s Benoit Mandelbrot added fractals to chaos theory. Fractals are the bi products or patterns left behind by dynamically changing systems. The inherent property with a cloud or a coast line is that, no matter how close or far away one gets to them, their basic pattern always remains the same. At the end of the 20th century, the long road to discover the simplicity behind the complexity of everyday life had been reversed. Using a computer, one could start with a simple system and in time life like complexities emerge.

Self organizing clusters come into play and interact with each other. Structures that are on the advent of radical change are formed. This is how human ecosystems and complex mechanisms like the stock market behave. Chaos theory in combination with quantum mechanics remains a very promising direction to be seen in the future. Chaos theory can be used to predict the unpredictability in human behavior and might have strong implications in areas like artificial intelligence.

Praneeth Vepakomma
http://www.2100science.com

Begin by knowing that a fractal is one of the two kinds of geometry present in our world. And yes, no matter what people say, in our world, there are only two major categories of geometry. Fractal. And other than fractal. Which, to simplify our discussion, we’ll refer to as fractal (non linear) and classical (linear).

Now before proceeding, let’s first define the word, “geometry.” What is “geometry?”

Geometry is the measurement of visual shapes and patterns. Spaces, originally. Moreover, you can know this for yourself by dissembling the word. The “metr” part of the word comes from an old english word which meant “limits” or “boundaries.” Thus the “metr” part tells us what we do with geometry; we measure the limits of something. As in meters, and metrics, and metronomes.

The “geo” part then comes from a word referring to the space in which we live; Earth. Thus, the “geo” part tells us what we’re measuring; we’re measuring the visual patterns of the spaces in our world, as in, “geography” (measures of the visual patterns of earth spaces) and “geology” (logical words about the visual patterns of earth spaces.)

Expanding on these ideas a bit, it might be helpful to know that in ancient Greece, measuring the visual patterns of spaces (geometry) was considered sacred knowledge. A science which the ancient Greeks believed allowed them to peer into the very nature of the spiritual world. Or at least, a way in which they could know there was a spiritual world. And in truth, I am saying very similar things here about fractal geometry. Specifically, that it has sacred qualities, one of them being, that it reveals the underlying structure of natural objects. Or the true visual essence of natural relationships, if this is an easier concept for you to grasp.

As for what makes these two geometries different, know I have spent several decades looking for a way to define fractals. To my surprise, I discovered that we can completely define the essence of these two things using only three qualities. Moreover, two of these qualities are the same for both geometries, while the third is what makes them different. Let’s start with the two qualities which are the same.

The first quality. Both classical geometry and fractal geometry refer to recognizable shapes. This is the first quality. In order for it to be geometry, we humans must be able to recognize these shapes. At least, in theory. And while it might take a bit of work to learn how to do this, this quality must always be present. No recognizable shape. No geometry.

The next quality? Both classical geometry and fractal geometry must refer to recognizable shapes which always repeat. This is the second quality. In theory, all classically geometric shapes can manifest in an infinite amount of ways. So too naturally occurring fractal shapes, which can also manifest in an indefinite variety of ways.

The thing to know here is that when I say, “always repeat,” I am basically referring to that geometric shapes can manifest over and over and over and still not exhaust the possibilities. This potential for repetition is what this second quality refers to. Moreover, it also refers to that in geometry, these repetitions are ongoing. Squares to circles. Waves to water erosion. Cubes to trapezoids. Pendulum swings to mood swings. All these geometric repetitions recreate themselves in endless ways.

Note that it is this second quality which disqualifies as fractal most man made objects, such as couch covers and wall paper. At some point, the detail within these things ends. Whereas, with the nature of something like stock market sales, while humans do initiate these transactions, the resultant cost variations are indeed fractal. Why? Because there is an infinitely detailed nature hidden within these variations, a natural complexity which defies linear analysis. As well as that there are endlessly recurring, recognizable patterns within what appears to be an infinite quantity of detail.

So “always repeat” is the second quality. Then there is the third quality, the one which makes these two geometries differ. What makes these two geometries different?

Classical Geometry refers to “recognizable shapes which always repeat identically,” while Fractal Geometry refers to “recognizable shapes which always repeat differently.” This is the entirety of geometric definition. Simple, really. However, like E=MC2, this very simplicity is what makes it so hard to grasp.

All this said, what exactly makes these two geometries so important to education? Sacred, even?

Their importance lies in that they are the only two ways in which we can truly learn to know and recognize things. Moreover, in order for us to know the nature of anything in our world, we must be able to recognize the visual patterns of relationships present within these things. No visual recognition. No real understanding.

In essence then, both geometries hold the potential to be our teachers. They are, in fact, the essence of being a teacher, regardless of what subject is being taught.

Why this need to be able to visualize a thing’s nature in order to learn what it is? Because all things within our world are made of light. And while much of this light falls outside the range of our natural eye sight, with analog aids (like televisions and radar), we can see all of these visual patterns. Which is why we Emergence Practitioners define “human consciousness” as “the skill of picturing movement.”

Here, “picturing movement” is just a way to refer to that we know things only by measuring light. No coincidence, “picturing movement” is yet one more way to refer to what happens in fractal geometry.

Some would now ask, but what if an oak leaf (which is fractal) were perfectly still. Would this mean it was no longer fractal?

My answer? No. The leaf would still be fractal. Why? Because the thing which enables us to see this leaf is that something in this measurement process must be moving; either us, or the leaf, or both.

What I am saying here is, the movement I have been referring to here is “relative” movement. The very word which defined Einstein’s genius, in fact. This means, whenever we look at a thing, the quality which enables us to see this thing is “movement.”

What I am saying is, either us, or the thing we are looking at, or both, must be moving. No movement. No access to the nature of the thing.

With oak leaves then, if an oak leaf were ever to be perfectly still, and if we could ever keep our eyes perfectly still as well, we would quickly lose our ability to see this leaf. Why? Again, no movement, no vision. No vision, no consciousness. This, in fact, is the nature of the screen of the mind going blank.

In real life, though, everything is always moving in relation to something else, molecules to solar systems. Thus, this stillness never actually occurs. Except in our minds, of course. Moreover, because it does not, it never occurs to us what we would happen if it did occur. Invisibility, to be exact. Again, the blank screen of the mind.

Finally, there is one very important idea you must know in order to access the power of fractal geometry. This idea? That in order to see the truth within things, you must, in some way, be able to picture the visual pattern of movement underlying this thing; peoples’ faces to academic grades; personal psychology to astrophysics. No moving picture. No understanding. Period. No exceptions.

So what about logical understandings? Can’t we logically understand things? Good question. To see the answer, imagine you are visiting a world famous art museum, and as you stand in front of what should be the Mona Lisa, you see only an empty frame with a descriptive plaque beneath it. Now add to this that you are one of the few civilized human beings whom has never seen a visual representation of the Mona Lisa. And that you have been asked to visually describe the Mona Lisa. How well do you think you would do?

The truth is, even if you were to have learned every logical truth about this painting, and about the painter, and about his times, you still would fail miserably. Why? Because even with the myriad of logically true things you could say, given the rest of eternity, you could not know the visual essence of this painting. Why not? Because human consciousness relies entirely on how our minds fill in that frame. Moreover, in order to know the nature of any naturally occurring thing, we must be able to fill in our minds with recognizable patterns of movement.

What I am saying here is, the most beautiful logic in the world is still mere captions to these pictures. Why? Because the very nature of beauty itself is rooted in recognizable visual movements. Including in the Mona Lisa herself. As well as in the nature of each and every human virtue, including the nature of truth.

Herein lies the power and the beauty of fractals. Amazing really. But then, we live in an amazing world, now don’t we?

Warmly,

Steven

Steven Paglierani is a writer, teacher, personality theorist and therapist whose work on human consciousness is read weekly by thousands all over the world. He is the author of Emergence Personality Theory, and his mission is to make the world better for children, by restoring and deepening peoples’ love of learning.

He can be read or reached at his site, http://theEmergenceSite.com

miqel.com is an amazing website that from my point of view, is crammed full of interesting pictures and useful information. we love it, and if you like maths and fractals too, then this website will be right up your street.

3D fractals

flame fractals

pheonix julia fractal

Mandelbrot fractal