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Install GoogleEarth .. & Shot !
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Outlining a Theory of General Creativity . .
. . on a 'Pataphysical projectory
Entropy ā„ Memory ā Creativity ²
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Study of the day:
"Nous devons penser autrement si nous voulons comprendre la complexitƩ croissante du monde. Nous devons penser en intƩgrant trois principes fondamentaux:
1 - La "rƩcursivitƩ des processus organisateurs", au contraire du principe linƩaire de causalitƩ, les causes rƩagissent contre les effets et les effets contre les causes, toute interaction est faite de rƩtroactions rƩcursives.
2 - Le principe "dialogique", qui consiste à associer les notions plutÓt qu'à les cloisonner, les idées et les vérités qui sont à la fois complémentaires et contradictoires dans le but de saisir une réalité vraie.
3 - Le principe "hologrammatique", selon lequel ce ne sont pas seulement les parties qui sont dans le tout, mais Ʃgalement le tout qui est dans chaque partie."
" We have to think differently to understand the growth of the world complexity. We have to think according to three fundamental principles:
1 - The ārecursivity of organization processā, on the contrary to lineal causality, causes react against effects and effects against causes, every interaction is made of recursive retroactions.
2 - The ādialogicā principle, which consists of associating notions, ideas, and truthes that are both complementary and contradictory in order to grasp a true reality.
3 - The āhologrammaticā principle, according to which it is not just the part that is in the whole but the whole that is in each part. "
( Edgar Morin )
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rectO-persO | E ℠m.C² | co~errAnce | TiLt
I just finished a warm fire š„ side chat with KK Jain, co-founder and Lead Developer of nCent, and this was their first public appearance (they even brought their crypto-puppy).
nCent is a decentralized protocol for incentive markets. Here is our video; we had 17K people watching it live!
"Boost how we harness our collective talent, and you will boost every problem-solving effort on the planet.ā ā Douglas Engelbart
nCent's formation was inspired by the DARPA Red Balloon Challenge. DARPA offered a $40K bounty to the first team to find 10 balloons scattered across America. Using a recursive incentive tree, the MIT team mobilized a large group of people to help in a small way, and they found all 10 balloons in under 9 hours! The company is at ncent.io
P.S. Brian Fox of Orchid also gave a great talk. FD: I am an original investor in both companies.
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The head of Romanesco broccoli is a visually striking example of an approximate fractal in nature. The pattern is only an approximate fractal since the pattern eventually terminates when the feature size becomes sufficiently small. In computer graphics, its pattern has been modeled as a recursive helical arrangement of cones.
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Der Romanesco (Brassica oleracea convar. botrytis var. botrytis ) ist eine Variante des Blumenkohls, die in der Nähe von Rom gezüchtet wurde. Seit dem 16. Jahrhundert wird er auch in Deutschland angebaut. Der Romanesco gehört zu den wenigen Pflanzen, die in ihrem Blütenstand gleichzeitig Selbstähnlichkeit und damit eine fraktale Struktur sowie Fibonacci-Spiralen aufweisen.
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A dichotomy /daÉŖĖkÉtÉmi/ is a partition of a whole (or a set) into two parts (subsets). In other words, this couple of parts must be
jointly exhaustive: everything must belong to one part or the other, and
mutually exclusive: nothing can belong simultaneously to both parts.
If there is a concept A, and it is split into parts B and not-B, then the parts form a dichotomy: they are mutually exclusive, since no part of B is contained in not-B and vice versa, and they are jointly exhaustive, since they cover all of A, and together again give A.
Such a partition is also frequently called a bipartition.
The two parts thus formed are complements. In logic, the partitions are opposites if there exists a proposition such that it holds over one and not the other.
Treating continuous variables or multicategorical variables as binary variables is called dichotomization. The discretization error inherent in dichotomization is temporarily ignored for modeling purposes.
Contents
1Etymology
2Usage and examples
3See also
4References
Etymology
The term dichotomy is from the Greek language Greek: ΓιĻĪæĻομία dichotomĆa "dividing in two" from ΓίĻα dĆcha "in two, asunder" and Ļομή tomįø "a cutting, incision".
Usage and examples
In set theory, a dichotomous relation R is such that either aRb, bRa, but not both.[1]
A false dichotomy is an informal fallacy consisting of a supposed dichotomy which fails one or both of the conditions: it is not jointly exhaustive and/or not mutually exclusive. In its most common form, two entities are presented as if they are exhaustive, when in fact other alternatives are possible. In some cases, they may be presented as if they are mutually exclusive although there is a broad middle ground [2](see also undistributed middle).
One type of dichotomy is dichotomous classification ā classifying objects by recursively splitting them into two groups. As Lewis Carroll explains, "After dividing a Class, by the Process of Dichotomy, into two smaller Classes, we may sub-divide each of these into two still smaller Classes; and this Process may be repeated over and over again, the number of Classes being doubled at each repetition. For example, we may divide ābooksā into āoldā and ānewā (i.e. ānot-oldā): we may then sub-divide each of these into āEnglishā and āforeignā (i.e. ānot-Englishā), thus getting four Classes."[3]
In statistics, dichotomous data may only exist at first two levels of measurement, namely at the nominal level of measurement (such as "British" vs "American" when measuring nationality) and at the ordinal level of measurement (such as "tall" vs "short", when measuring height). A variable measured dichotomously is called a dummy variable.
In computer science, more specifically in programming-language engineering, dichotomies are fundamental dualities in a language's design. For instance, C++ has a dichotomy in its memory model (heap versus stack), whereas Java has a dichotomy in its type system (references versus primitive data types).
In astronomy dichotomy is when the Moon or an inferior planet is exactly half-lit as viewed from Earth. For the Moon, this occurs slightly before one quarter Moon orbit and slightly after the third quarter of the Moon's orbit at 89.85° and 270.15°, respectively. Dichotomy occurs when the Sun-Moon-Earth angle is 90°. (This is not to be confused with Quadrature_(astronomy) which is when the Sun-Earth-Moon/superior planet angle is 90°.)
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More variations from Fractal Lab, a shader based real time 3D fractal generator.
The central motif in this structure is based on a 5 fold symmetry, creating 10 identical "pie" slices, which reflect kaleidoscopically. But looking further you see that each of the 10 "pores" surrounding the orange center is another kaleidoscope center, and that the space is subdivided by rings of smaller pentagons, placed in pairs on the sides of their parent pentagon. [And with all these pentagons floating around, these motifs have strong visual relationships with Penrose tilings . . .]
But what really interests me is the complexity of the boundary where the simple planar structure breaks up and turns into 3 dimensions [it will help to run the program to see this]
I started of sketching the chair and then added the rest of the elements around it. Finally ended up capturing a impression of what i am drawing in my skechbook.
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Red 2, Orange II, Goldish, Yellow, Yellow green, Greens, Blue 4, Blue 3, Deep purple, Maroonish, Pink
Big tip o' the hat to fd's Flickr Toys
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Tonight's dinner (yeah, ramen noodles) gave me an idea for something a little different.
Done in the usual Droste style, but with a twist. ;-)
strobists: umbrella flash behind and above bowl and close, 1/4 power Sigma EF-500DG super triggered with ebay trigger, black foamcore gobo behind bowl.
©2008 David C. Pearson, M.D.
This tessellation consists of concentric square twists of growing size. The medium is self-adhesive holographic foil glued onto tracing paper. The spiral is a fractal and with larger paper could be extended indefinitely with more and more levels.
Just after I designed this piece, I realized it was so simple that someone had probably invented it before. After a bit of searching on flickr, I realized I had just designed from scratch a tessellation almost identical to the Hill/Bump model by Matt Humberstone which I had seen on flickr and faved just a few days before. Itās disappointing when what you thought was an original design shows to have been designed by others a few years before. The only difference is that in my model the initial twist is based on a 2:1 slope and Mattās starts with a 3:1 slope. As a consequence, my version should be folded from an odd-numbered grid (the one in the picture is from 25Ć25 grid including an extra-wide frame). My model also lacks the locks holding the model together in the corners because it was designed up-front to be viewed from the ātunnelā and not from the āhillā side. Since it was designed to be flat, there are small additional creases that prevent it from bulging upwards. Apart from these small differences, you can use the same crease pattern as for Mattās version.
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Experimenting with transparency.
Based on an original picture by hober, kindly licensed under Creative Commons.
Part of my Recursion set.
I rendered the triangle array with more of a DOF lens effect. This is fun, but I'm craving a faster computer. Has anyone here tried Helios to distribute rendering to other computers?
Update: I now have a rendering "garden". I can't call it a "farm" yet. I was able to get Helios running on two Macs here using the article below, after figuring out Java Home is /Library/Java/Home/
feeblemind.tuxfamily.org/dotclear/index.php/2007/12/30/10...
Structure Synth / Sunflow render.
Structure Synth Source:
r1
rule R1 maxdepth 3 > myBox
{
{color #008 s 0.75 ry 30} R1
{color #FFF s 1/3 x 1 y 1 z 1} R1
{color #FFF s 1/3 x -1 y 1 z 1} R1
{color #FFF s 1/3 x -1 y 1 z -1} R1
{color #FFF s 1/3 x -1 y -1 z -1} R1
{color #FFF s 1/3 x -1 y -1 z 1} R1
{color #FFF s 1/3 x 1 y -1 z 1} R1
{color #FFF s 1/3 x 1 y 1 z -1} R1
{color #FFF s 1/3 x 1 y -1 z -1} R1
}
rule myBox {box}
A set of 3 models, using EH paper.
I used the concept of "recursive folding" as used by Edward Mistretta.
Mixing tessellation grids and part of my older models. All of them from EH paper, 30x30 cm, 32 division grids.
Type: Energy Based Weapon
Damage Type: Medium Burning on Low setting, Moderate Explosions on High.
Power Source: Unknown
Grip: Humanoid
A dull green flash is emitted upon firing the weapon. No heat is felt by the operator and sensors detect nothing for a range of 1.3 (recursive) meters in the direction of firing. Classifed highly dangerous (2.35 Cl) and to be contained in a level eight (8) location.
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This image and its name are protected under copyright laws.
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