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Borobudur, Buddhabrot fractals & non-linear chaotic systems - Dhamma Wheel

Borobudur, Buddhabrot fractals & non-linear chaotic systems

A discussion on all aspects of Theravāda Buddhism
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gavesako
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Borobudur, Buddhabrot fractals & non-linear chaotic systems

Postby gavesako » Fri Oct 05, 2012 2:19 pm

Some notes on these intriguing topics:


Buddhabrot fractals and non-linear chaotic systems

papañca - diversification; diffuseness; spreading; mental diffusion, mental proliferation
Complex non-linear systems:
"These systems are apt analogues for dependent co-arising (paticca-samuppada) in that, despite the fact that their behavior sometimes seems chaotic, their behavior actually contains deep, regular patterns. Furthermore, in some cases, these patterns can be utilized so that the system will behave in a desired way." (Thanissaro Bhikkhu)
Fractal Definition: A geometric pattern that is repeated (iterated) at ever smaller (or larger) scales to produce (self similar) irregular shapes and surfaces that cannot be represented by classical (Euclidian) geometry. Fractals are used especially in computer modeling of irregular patterns and structures found in nature.(1)
...and the amazing story of Mandelbrot Monk
http://gavesako.blogspot.com/2012/10/bu ... inear.html



Fractal structure of Borobudur and crop circles in England

Borobudur Temple was built by Modern Mathematical Sciences
According Hokky, Borobudur was built space that has a similarity with the elements themselves. In the Borobudur, for example, there are many forms of geometry stupa. “Candi Borobudur stupa itself is a giant in which consists of stupas of other smaller ones. Keep up to infinity,” he explains.
http://gavesako.blogspot.com/2012/10/fr ... -crop.html
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Bhikkhu Gavesako
Kiṃkusalagavesī anuttaraṃ santivarapadaṃ pariyesamāno... (MN 26)

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James the Giant
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Re: Borobudur, Buddhabrot fractals & non-linear chaotic systems

Postby James the Giant » Sat Oct 06, 2012 12:32 am

Fascinating things, fractals.
You may be interested to know the Mandelbrot Monk article is a hoax written by a mathematician, for an April Fools joke in a mathematical journal.
Putting that story in there uncritically kinda casts a shadow of doubt over some of the more...er... fringe links you have provided in your blog.

Did you ever go to Bodhinyanarama Monastery in New Zealand? Or meet up with a bhikkhu who ended up there? Because they had a most beautiful, detailed book of a recent year's Crop Circle appearances. I thought of you when I remembered that, and wondered if you had given it.
Then,
saturated with joy,
you will put an end to suffering and stress.

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mikenz66
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Re: Borobudur, Buddhabrot fractals & non-linear chaotic systems

Postby mikenz66 » Sat Oct 06, 2012 1:21 am


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James the Giant
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Re: Borobudur, Buddhabrot fractals & non-linear chaotic systems

Postby James the Giant » Sat Oct 06, 2012 1:44 am

Aha! It must have been his! :smile:
Then,
saturated with joy,
you will put an end to suffering and stress.

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gavesako
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Re: Borobudur, Buddhabrot fractals & non-linear chaotic systems

Postby gavesako » Sat Oct 06, 2012 7:28 am

Bhikkhu Gavesako
Kiṃkusalagavesī anuttaraṃ santivarapadaṃ pariyesamāno... (MN 26)

- Theravada texts
- Translations and history of Pali texts
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gavesako
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Re: Borobudur, Buddhabrot fractals & non-linear chaotic systems

Postby gavesako » Sat Oct 06, 2012 8:23 am

Bhikkhu Gavesako
Kiṃkusalagavesī anuttaraṃ santivarapadaṃ pariyesamāno... (MN 26)

- Theravada texts
- Translations and history of Pali texts
- Sutta translations

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mikenz66
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Re: Borobudur, Buddhabrot fractals & non-linear chaotic systems

Postby mikenz66 » Sat Oct 06, 2012 8:41 am


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zavk
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Re: Borobudur, Buddhabrot fractals & non-linear chaotic systems

Postby zavk » Sat Oct 06, 2012 9:27 am

Hi Mike, Bhante, and others

I too find the way in which Thanissaro Bhikkhu evokes the terminology of complexity/systems theory as a kind of poetic language to explicate Buddhist ideas insightful. Early this year I read a book called A World of Becoming by William E. Connolly, political philosopher at John Hopkins University. I'm very taken by it because the notion of becoming threading through the book resonates with some aspects of Buddhist understandings. Connolly engages with various fields of knowledge, from philosophy to biology to neurosciences to systems theory, to argue that the challenges of the contemporary world call for greater attention to a 'micropolitics of becoming'—i.e. how creative adjustments in our everyday modes of perception, bodily habits and ethical sensibilities might generate feedback and resonances that would impact upon broader social, economic, and political systems, which he describes as 'force fields' rather than 'structures'. It seems to me that Connolly is making a similar suggestion as Thanissaro Bhikkhu: 'All non-linear processes exhibit what is called scale invariance, which means that the behavior of the process on any one scale is similar to its behavior on smaller or larger scales. To understand, say, the large-scale pattern of a particular non-linear process, one need only focus on its behavior on a smaller scale that is easier to observe, and one will see the same pattern at work.'

The 'postlude' to the book is interesting, you can read it here on Google books: Below is an excerpt from pages 55-6 of the book where he talks about the micropolitics of perception. To my reading, it seems that what we are doing when we engage in meditative exercises—and bhavana in general—is exploring ways to open, dissolve, and steer what Connolly calls 'anticipatory habits and sedimented dispositions'—not unsuitable terms for explicating kamma, I think. :anjali:

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With metta,
zavk

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mikenz66
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Re: Borobudur, Buddhabrot fractals & non-linear chaotic systems

Postby mikenz66 » Sat Oct 06, 2012 9:36 am

Thanks zavk,

Of course I am partial the multiple-time-scale description of dependent origination, and the way Thanissaro Bhikkhu argues that this is the key to being able to do learn something about it - that we can are able to observe on short time-scales and extrapolate to longer timescales.

:anjali:
Mike

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gavesako
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Re: Borobudur, Buddhabrot fractals & non-linear chaotic systems

Postby gavesako » Sun Oct 07, 2012 5:23 am

Bhikkhu Gavesako
Kiṃkusalagavesī anuttaraṃ santivarapadaṃ pariyesamāno... (MN 26)

- Theravada texts
- Translations and history of Pali texts
- Sutta translations

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gavesako
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Re: Borobudur, Buddhabrot fractals & non-linear chaotic systems

Postby gavesako » Fri Oct 12, 2012 2:55 pm

Here is a video about M.C. Escher who was an amazing artist for his era:

http://www.youtube.com/watch?v=KkMaHz2vLRE

I think that he could see some of the cycles of Samsara in the world around him and especially in the human mind: the eternal repeating patterns.

And now watch this one, a slightly improved version of Escher's stairs going up and down at the same time (the banana can be seen as representing craving):

http://www.youtube.com/watch?v=8jRmo7iM5vk

It is really like the suffering in the cycles of Samsara!

:rolleye:
Bhikkhu Gavesako
Kiṃkusalagavesī anuttaraṃ santivarapadaṃ pariyesamāno... (MN 26)

- Theravada texts
- Translations and history of Pali texts
- Sutta translations

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gavesako
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Joined: Sun Jan 04, 2009 5:16 pm

Re: Borobudur, Buddhabrot fractals & non-linear chaotic systems

Postby gavesako » Sat Oct 13, 2012 3:14 pm

Here you can find some nice videos illustrating the process of dependent arising in a visual way:

http://gavesako.blogspot.com/2012/10/vi ... ndent.html (one is only in Thai)

This video was made to illustrate the Buddha’s teaching on dependent co-arising or dependent origination (paticca-samuppāda) which can be observed at many scales, which means that lessons drawn from observing the world (loka) can be applied to our internal experience of the six senses which makes up ‘our world’. The black hole at the center of a galaxy is like the fundamental ignorance which gives rise to the formations that construct our experience in terms of consciousness being established in name & form. The Buddha compares the ongoing cycle of becoming to the process of planting seeds in fertile soil which is watered by rain.
Bhikkhu Gavesako
Kiṃkusalagavesī anuttaraṃ santivarapadaṃ pariyesamāno... (MN 26)

- Theravada texts
- Translations and history of Pali texts
- Sutta translations

User avatar
gavesako
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Joined: Sun Jan 04, 2009 5:16 pm

Re: Borobudur, Buddhabrot fractals & non-linear chaotic systems

Postby gavesako » Mon Oct 22, 2012 9:05 pm

Compare this recent report about the large-scale chaotic systems and their behaviour, similar to the small-scale:

Graceful in their turnings, spiral galaxies were thought to have reached their current state billions of years ago. A study of hundreds of galaxies, however, upsets that notion revealing that spiral galaxies, like the Andromeda Galaxy and our own Milky Way, have continued to change.
Farther back in time, galaxies tend to be very different, say astronomers, with random and disorganized motions. Nearer to the present, star-forming galaxies look like well-ordered disk-shaped systems. Rotation in these galaxies trumps other internal, random motions. These galaxies are gradually settling into well-behaved disks with the most massive galaxies always showing higher organization.
The Milky Way Galaxy may have gone through the same chaotic growing and changing as the galaxies in the DEEP2 sample before settling into its present state at just about the same time the Sun and Earth were forming, say team scientists. By observing the pattern, astronomers can now adjust computer simulations of galaxy evolution until they replicate the observations. Then the hunt will be on to determine the physical processes responsible for the trend.

Read more: http://www.universetoday.com/98096/surp ... z2A41nkLu6
Bhikkhu Gavesako
Kiṃkusalagavesī anuttaraṃ santivarapadaṃ pariyesamāno... (MN 26)

- Theravada texts
- Translations and history of Pali texts
- Sutta translations


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