Pianoforte e spartito ...

all' infinito

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By the age of 25 Kurt Gödel had produced his famous “Incompleteness Theorems.”

Kurt Friedrich Gödel ; April 28, 1906 – January 14, 1978) was an Austrian, and later American, logician, mathematician, and philosopher. Considered along with Aristotle, Alfred Tarski and Gottlob Frege to be one of the most significant logicians in history, Gödel made an immense impact upon scientific and philosophical thinking in the 20th century, a time when others such as Bertrand Russell, Alfred North Whitehead, and David Hilbert were analyzing the use of logic and set theory to understand the foundations of mathematics pioneered by Georg Cantor.

Gödel published his two incompleteness theorems in 1931 when he was 25 years old, one year after finishing his doctorate at the University of Vienna. The first incompleteness theorem states that for any self-consistent recursive axiomatic system powerful enough to describe the arithmetic of the natural numbers (for example Peano arithmetic), there are true propositions about the naturals that cannot be proved from the axioms. To prove this theorem, Gödel developed a technique now known as Gödel numbering, which codes formal expressions as natural numbers.

He also showed that neither the axiom of choice nor the continuum hypothesis can be disproved from the accepted axioms of set theory, assuming these axioms are consistent. The former result opened the door for mathematicians to assume the axiom of choice in their proofs. He also made important contributions to proof theory by clarifying the connections between classical logic, intuitionistic logic, and modal logic.

Artwork By TudioJepegii

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Photo By: Cate Infinity

Presented by Infinite Art Gallery

Cate Infinity, Esta Republic, and Amanda Tamatzui are contemporary visual artists whose practices intersect at the edges of ecology, abstraction, and transformation. Together, their work forms a richly layered dialogue between organic systems and human perception.

Cate Infinity explores the poetics of memory, decay, and rewilding through meditative digital compositions. Her "glitch witch" process merges abstract forms with imagined flora, crafting spectral environments where time dissolves.

Esta Republic maps the hidden mathematics of nature—spirals, grids, and patterns—into visual rhythms. Her work invites reflection on growth, erosion, and the recursive beauty of natural systems.

Amanda Tamatzui brings bold energy and emotional urgency to her art. Through vibrant color and movement, she reframes interruption as joy, reclaiming space and spirit with celebratory force.

Together, these artists illuminate nature’s complexity through distinct yet interwoven lenses, creating immersive experiences rooted in transformation, pattern, and presence.

Music By:

5-6:30pm - Frank Atisso

6:30-8pm - Poppy Morris

8-9:30pm - Christo Winslet

Dress Code: Come As You Are

***Enable Shared Environment for full immersive experience.

****PBR Viewer is highly recommended for optimal artwork display.

Produced by The Refuge Productions

Build By: Cate Infinity

LM: maps.secondlife.com/secondlife/TheRefuge/153/162/30

One of the Ten Principles of Burning Man is PARTICIPATION. This art car seems contrary to the culture, but it quickly becomes apparent that this project can "turn Spectators into Participants, and Participants into Spectators".

www.indiegogo.com/projects/2014-bleachers-art-car-at-burn...

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See more photos and abstract drawings in my gallery on DeviantArt:

www.deviantart.com/ciokkolata

Thank you!

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See more photos and abstract drawings in my gallery on DeviantArt:

www.deviantart.com/ciokkolata

Thank you!

There's no way I'll ever afford two of them to perform some weird recursive meta-photograph of an M8 using an M8, here's one taken using my LX3.

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All their rights are reserved to my own and unique property.

Any download, copy, duplication, edition, modification,

printing, or resale is stricly prohibited.

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This image and its name are protected under copyright laws.

All their rights are reserved to my own and unique property.

Any download, copy, duplication, edition, modification,

printing, or resale is stricly prohibited.

*******************************************************************************

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Made with Mandelbulb 3d

See more photos and abstract drawings in my gallery on DeviantArt:

www.deviantart.com/ciokkolata

Thank you!

Part of my Recursive Chessboard set. See this set's description for explanations about the title.

See similar things here, here and here. Plenty more on this set.

This is a recursive image similar to Escher's "Print Gallery".

There's so much to love about Mr. Espresso.

Okay, first off, he's an anthropomorphic coffee bean with a handlebar mustache, a boutonniere, and a monocle. So that's awesome.

But second, like so many of the South's panstless cartoon pigs wearing chef's hats and licking their chops, Mr. Espresso clearly enjoys consuming himself.

This is one very self-aware, very fancy man made out of coffee. A recursive connoisseur of the highest order.

I missed a little clicks and my photostream will reach 100.000 views.

I'm always amazed about the numbers that flickr can generate.

So to say thank you to all of you i've decided to give you a little present for your comments, and faves and group invites:

This picture is for you it is uploaded in hi.res for you so you can download it and use it as your desktop background or for your graphic fun.

Again thank you thank you thank you.

Sincerely

Antonio

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mancano pochi click è il mio profilo di flickr raggiungerà quota 100000!!! sono sempre stato ammaliato dai numeri che flickr può generare.

Quindi un grazie a tutti per i commenti, per i fav e per gli inviti ai gruppi.

Come regalo vi faccio questa immagine. Contrariamente alle mie abitudini l'ho caricata in alta risoluzione cosi potrete usarla come sfondo del desktop, per i vostri lavori di grafica o altro.

Ancora una volta grazie grazie grazie

Sinceramente.

Antonio

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See more photos and abstract drawings in my gallery on DeviantArt:

www.deviantart.com/ciokkolata

Thank you!

Part of my Recursion set.

New Print(s) for "The Root of Root" a show of generative art by Marius Watz, Aaron Meyers and myself at the Devotion Gallery in NYC, opening Friday 22 Oct 2010.

www.areyoudevoted.com/exhibitions

Four hearts folded from a single rectangle - red on one side and white on the other.

Recursive Iterations,

Words that delve into spirals

of Chaos and present us with

our world in ordered randomness.

Give the computer numbers,

Wait patiently,

And emergent patterns

imitate familiar objects in life.

As if a genie rubbed a lamp,

The mouse presses awe into motion, and I get to share my awe and excitement.

depth 1

Claude has continued with mostly greens, and Vincent has moved towards darker colours and stronger yellows. It's not yet clear where their designs are heading.

using gridded population data from SEDAC. This was based on the maximum resolution raster, which dates back to 2000. The world's population is over 7 billion now, so the boundaries will have changed.

The raster was recursively subdivided into areas of equal population. Each level in the tree alternates between horizontal and vertical partitions.

This was done using a python script with gdal and numpy. The recursion was stopped at 8 levels, giving 256 cells.

Each cell has an approximately equal population, of just under 24 million people.

Rendered in QGIS Print Composer.

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See more photos and abstract drawings in my gallery on DeviantArt:

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Thank you!

Artwork about chaos.. there is a strange attractor hidden at the bottom of the snail shell, as the snail creeps slowly toward the fractal leaves, small deviations can lead to wildly different outcomes. I planted one of the original chaos equations within the snail; I might remove it and draw in random numbers.. or a fibonacci sequence

Lighting Info:

580EXII Shot through soft-box camera left and an additional strobe gelled red with diffuser on background.

Recursive Effect created using Mathmap plugin for the GIMP.

Inspiration here, mathematics here, original picture here.

Part of my Recursion set.

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See more photos and abstract drawings in my gallery on DeviantArt:

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Thank you!

Origami Fractal Square Waterbomb Tessellation V2 youtu.be/BD8PByTpWnc

I like the Toronto flag in the upper hoist canton; a nice touch.

However, while the life preserver element in the fly makes sense, the storybook-ish picture of the fireboat is unfortunate; too bad they don't have a proper coat of arms of some kind to have in there, instead - or at least, left the words off the boat; text on flags is unvexillogical, and unfortunate...

Ah well. Still a nice flag, overall, IMO. And kinda neat that, in the fly, the ship as depicted also has the Canadian flag - meaning that just like the boat itself, this flag contains both the Toronto and Canadian flags. :)

Toronto, Ontario.

www.flickr.com/groups/stolenstrategies

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12 vertices, 20 triangles, 20 circles

Structure Synth / Sunflow

Here's a new Structure Synth / Sunflow creation I made. This one reminds me of a neutrino detector. I had fun watching youtube lectures on neutrinos while it rendered :)

This render uses the "Ward" shader for the blocks and floor, and a red mirror shader for the spheres.

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Generative masterplanning: some test frames.

Differentiation develops from site fitness, toward a primary use-type, with adjacency effects from neighboring parcels and clustering logics over larger assemblages of cells.

Compared to previous studies, the process here is more emergent, with a more responsive engagement and iterated over a much larger number of frames, allowing the designer the ability to intervene during the process.

The logic resembles that of cellular automata with the additional benefits of 1) being based on real, spatial geometry rather than a grid or regular matrix; 2) utilizing initial conditions that are based on actual site conditions and environmental properties; 3) propagating a more diverse set of influences and reactions; 4) progressing across multiple levels of effects (both scalar and temporal) that allow these effects to be staged in a manner less abstracted and closer to actual design concerns.