– http://pinterest.com/pin/555983516471303934/?utm_source=android_share

]]>(Funny how them #Saffron-tinged Balloons are just there, tinging the interaction even further!)

#Hashtagvana ?

1) Randomly shoot a neighbor’s cluster of #Saffron – soaked flowers;

2) Have someone in this here cloud like and point it out; then,

3) Somewhat coincidentally, when one searches for #Saffron ? … one finds out TODAY is actually the 67th Anniversary of #India ‘s Independence!

Interesting?! U betcha!

(Me? Think that “words of praise… courage” affirmation may fit nicely later on?)

So shall we think of #WorldPeace by Approximations’ Interpolations, perhaps!?

… Namaste!

]]>I mean, with a question like:

“Random graphs are a fascinating subject of applied and theoretical research. These can be generated with a fixed vertex set … and edges added to the edge set … **based on some probability model, such as a coin flip.**

[First] Speculate (did you just say introduce ‘fuzzyness’ on the answer?) on how many connected components a random graph might have if the likelihood of an edge (v1,v2) being in the set E is 50%.

[Then] Do you think the number of components would depend on the size of the vertex set V? Explain why or why not.”

Where does one end up – BUT in a random corner of the cloud

** – Enter Fractals
**

Again, from the realm of Aesthetics, it’s now commonplace (some may argue, even BORING!) to get to see these CGI-facilitated illustrations all over the place; as with most anything out there, I can bet you that someone already set their Ruby-on-Rails atop these equations, and well, the

So as to the math of fractals, since they’re graphs to begin with, let’s jump in, shall we? (and careful where one ends up at!)

“… One of the most amazing facets of mathematics is the experience of **starting with a problem in one area of mathematics and then following the trail through several other areas to the solution (or several versions of the solution).**

We *** illustrate *** [See? Gotta satisfy the Right Hemisphere with these most complex ones!] this with a problem that starts out as a problem in rendering the attractor of an Iterated Function System (IFS), which leads to a solution that involves finding an *** **Eulerian** *** cycle in a certain graph and then to finding generators for the multiplicative group of a finite field.

We start with an introduction to IFS fractals and the problem of generating an image of the attractor of an IFS.

[…and what is an] ITERATED FUNCTION SYSTEMS. The basic idea behind Iterated Function System fractals is that we wish to formalize the concept of self-similarity. That is, given an image like… we [then] wish to formalize our notion that the set is made up of three smaller copies of itself…” (Mendivil, 2003)

Of course, thoughts of ‘Replicants’ jumpin’ through the roofs of LA in 2030 come to mind – yet, as usual, are we not merely extrapolating and drawing inferences, sometimes conclusions on already-existing processes?

– Enter Instantiation – CGI-Style

As I’ve mentioned elsewhere, the Computer Graphics Industry is one of the most complex, yet gratifyingly simply iterations of what Computing has become – and as the excerpt above includes, the need to draw up an illustration, based off of very precisely and accurately calculated principles?Timeless – and profitable, for those venturing into the realms of the unknown, coming back after spending a quarter billion dollars to see their ROI (Return on Investment) quadruple – and all off of a fable of runaway mining and organic blue giants? on a place with 60% of our gravity field?

– Enter Instantiation – CGI-Style

As I’ve mentioned elsewhere, the Computer Graphics Industry is one of the most complex, yet gratifyingly simply iterations of what Computing has become – and as the excerpt above includes, the need to draw up an illustration, based off of very precisely and accurately calculated principles?Timeless – and profitable, for those venturing into the realms of the unknown, coming back after spending a quarter billion dollars to see their ROI (Return on Investment) quadruple – and all off of a fable of runaway mining and organic blue giants? on a place with 60% of our gravity field?

So EBSCO Host, when queried “acm siggraph fractal instantiation” spat out a SINGLE answer – yet, how lucky does one feel when it states…

“We present a dynamic tree modeling and representation technique that allows complex tree models to interact with their environment.Our method uses changes in the light distribution and proximity to solid obstacles and other trees as approximations of biologically motivated transformations on a skeletal representation of the tree’s main branches and its procedurally generated foliage.

Parts of the tree are transformed only when required, thus our approach is much faster than common algorithms such as Open L-Systems or space colonization methods.

**Input is a skeleton-based tree geometry that can be computed from common tree production systems or from reconstructed laser scanning models.
**

Our approach enables content creators to directly interact with trees and to create visually convincing ecosystems interactively. We present different interaction types and evaluate our method by comparing our transformations to biologically based growth simulation techniques.”

(.pdf is taking its time downloading… so)

(whoa!… so many equations!… guess there’s a CONNECTION?)

“”…focus on phototropism and gravitropism. Phototropism is the tendency of a given branch to grow towards the light direction. We estimate the effects of phototropism for each branch at the time the branch was growing using our temporal light model described above. Gravitropism controls bending of the branches either away from or towards gravity. While we compute the strength of the tropisms directly from the input tree, we later expose it as a parameter that the user can modify to control the

transformation behavior of the trees…” (ibid)

Well, let’s just say that yes, we’re pretty good at deciphering and explaining what’s ALREADY there – and yes, all of the work above, again, serves to build near-perfect backgrounds to a story? one that only happens within arrays and CPU’s, rendering farms, mice and tablets – and in out heads, as everything’s put together within our synapses?

Wikipedia starts right off the bat on its article on “Computer Generated Imagery” with an illustration of a “rural landscape,. generated with fractals… that looks very real” and the link? Bingo!

“Real landscapes also have varying statistical behaviour from place to place, so for example sandy beaches don’t exhibit the same fractal properties as mountain ranges. A fractal function, however, is statistically stationary, meaning that its bulk statistical properties are the same everywhere. Thus, any real approach to modeling landscapes requires the ability to modulate fractal behaviour spatially. Additionally real landscapes have very few natural minima (most of these are lakes), whereas a fractal function has as many minima as maxima, on average. Real landscapes also have features originating with the flow of water and ice over their surface, which simple fractals cannot model” (Wiki, 2013)

So if one were to flip a coin?… what would it be? **connection or no connection?**

@Kankuchito on the Interwebs

References

Mendivil, F. (2003). Fractals, graphs, and fields. The American Mathematical Monthly, 110(6), 503-508,510-511,513-514. Retrieved from http://search.proquest.com/docview/203742447?accountid=35812

WIkipedia (2013) Computer Generated Imagery Retrieved from: http://en.wikipedia.org/wiki/Computer-generated_imagery

Wikipedia (2013) Fractals Retrieved from: http://en.wikipedia.org/wiki/Fractal_landscape

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Greetings E.

No, I’m not a native Speaker, no

So by now I’ve given up – I have fun with my Heavily Germanized Spanglish, and yes, if anyone like you asks, I’d attempt to ellaborate.

Where?

That depends… I ‘crash landed’ in South America in the sixties; visited your Heartland for the first time in the eighties, mom thought plunking down $50k on boarding school would help me learn English… I’ll let you judge the results

I went back to the Tropics (80/60 readings throughout the year, two seasons – moist/less moist, and yeah, all the things one hears about Paradise are true – except no one tells you about the crime and corruption that sometimes accompanies such abundance) where I learned how to run a Business, enjoy life and yes, how much I craved life here… So I came back to your Country in 1995 (heard of Hugo Chavez? I saw the ’92 Coup, front-row Center as he shelled the Presidential Palace) and stayed ever since; your government gave me a certificate so I can vote and not get deported were I ever to be a felon (hope not!)… and yes, I’ve continued to study your customs and mores ever since… and the lingo?… that’s the Social Media doin’ the talkin’!

A fanatic of all things technology, as Gramps was a TV Repairperson, growing up with an Oscilloscope in the same room they’d setup the cot, well… how many times have you watched “The Matrix”… that scene where Cypher goes turncoat…. aha, picture THAT room, that’s where we’d stay overnight at Gramps (think many nights as mom was a single mom with two kids, etc)

So yeah, I’m a rambling, loquaciously exuberant “Resident Alien” whose ways and customs tend to flabbergast many – so you’re in good company!

(Hope this helps)

P.S: **’60 Reading’…** Winter’s back to its half-a-year of misery ways, so yeah, today everyone’s wearing shorts and flip flops! shaking off the cabin fever, I guess?

@Kankuchito

]]>That’s a favorite window from #3rdWinter’s photo essay!

Remember?

(and today’s bio entries on this digitized journal of our lives? Adding a Horoscope, just for Giggles, as it was actually brought up by the Missus – and preserved/filed under ‘Sage Advice’ – for her!

Cheers!

Weather via @WUnderground App

Zoroastrian Advice per Holiday Mathis via http://www.Herald-Review.Com … analog copy at our doorstep! #OldSchool!

And of course, here’s the slideshow! (well, not really, dunno if feat is reachable via iOS version! One more “to do”, research never ends at The Kloutynimbus Level!

Ciao!

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