View allAll Photos Tagged recursive
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This is a recursive version of the Lucky Star molecule. Just like the non-recursive version, it can be tessellated or used for decorating a box. The back of this model when folded standalone rather than tessellated can either be closed or it can be opened and some extra flaps folded up which results in a pattern resembling a flower.
Despite this not being the first time around this model is invented (see below), I’m really happy with it. The collapse is rather difficult at first, but with some practice it becomes quite pleasant, especially if you only fold up to level 3 (the one in the picture is level 5, folded from a 35 cm sheet of Edokosome paper). The scaling factor is sqrt(3) which means that the levels shrink quite rapidly and a large sheet is needed to go many levels deep. After 4 iterations, this molecule is reduced by a factor of 9, compared to just a factor of 4 for the Hydrangea whose scaling factor is sqrt(2). Also, due to this model’s construction, folding levels deeper than 3 requires reaching through multiple already collapsed layers which is difficult and night-impossible without the help of a folding tool. However, a level 3 Lucky Star Fractal can be folded from a hexagon cut from an A4 sheet and it is quite quick to fold, compared to many of my other models. I rarely fold a model more than once, but the level 3 version of this star I have folded many times over since it makes a nice decoration and after some learning, is a real pleasure to fold.
While I came up with this design myself, due to some research I perfomed after designing the regular Lucky Star, I learned that others have designed the same model before me. Haligami (Halina Rościszewska-Narloch) played with a recursive version of her Day and Night Tessellation, which is almost exactly the same model as this one (only the locking of the rays in the last level is different). Shuzo Fujimoto designed this model even earlier - I was able to identify it thanks to some pictures posted by Eric Gjerde who reproduced the model based on a CP found in a book. We don’t know what name Fujimoto used — Gjerde used the name Logarithmic Star.
There are also a number of models which differ from this one, but still exhibit a number of similarities, either in the look of the finished model or in the way it is constructed. Melisande designed Star Unlimited a la Fujimoto which looks the same on the front side but has a different back and a different CP. The general construction is similar to Blooming Fractal Flower by Joanna Sobczyk. In the open-back variant, the back side resembles Floral Perpetua by Dasa Severova.
A variation (by Ben, not me) on the previous picture on my photostream. It is an interesting model, when you first look at it, you think it is a recursive model but then if you look closely, each level is different.
Folded from a square turned octagon of 26 cm on the side of Torreón paper.
A view along the corridor of the Officers' Quarters, Fort Point, San Francisco.
I've tried processing this photo a number of ways over the years; this is the first time I've been really happy with the results.
The inspiration for this photo: Spiraling Time
I saw the image and thought: "How cool is that?" In the description are the steps that created his image. I love when people share their creative process!!
This image was created with Pixel Bender, a free Photoshop plugin from Adobe Labs. You can download additional filters; and the one that creates the spiraling effect is the Droste filter. If you are interested, you can read more about it here: The Droste Effect.
The tutorial used a clock; so I grabbed my cam and snapped the clock above my desk, installed the Droste filter and starting playing. Isn't this really cool looking? I kinda wish my clock really looked like this ... though telling time might be a bit challenging!!
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Try it out yourself if you have Photoshop ... and some 'time to kill' : Droste Effect – Video by Gavin Hoey
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Have a Happy ♫ Ticking Away the Moments ♫ Monday Folks!!
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Made with Mandelbulb 3d
See more photos and abstract drawings in my gallery on DeviantArt:
Thank you!
Best viewed large
Made with Mandelbulb 3d
See more photos and abstract drawings in my gallery on DeviantArt:
Thank you!
Designed and folded October 2017 from 18 square sheets of European kraft paper.
I originally drew a sketch for this design back in 2013, and after digging it up earlier this week, I finally decided to develop the units. The neatest part of this design is the fact that it is a fractal, so the pattern can theoretically be repeated forever!
I folded 3 iterations for this particular model before the paper became too small to work with. The iterations are folded separately and can easily be assembled to one another without adhesives. The units are actually quite simple too, so I'll probably diagram this one if there is enough interest!
Overall, I'm really happy with how this one turned out! Please let me know what you think! :)
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Made with Mandelbulb 3d
See more photos and abstract drawings in my gallery on DeviantArt:
Thank you!
Best viewed large
Made with Mandelbulb 3d
See more photos and abstract drawings in my gallery on DeviantArt:
Thank you!
Chickadee singing photo cropped and made from repetitions of the same photo
Created with www.dumpr.net - fun with your photos
Check out this image which surely must have served as inspiration for this image. This is one of the few droste effect images I actually could have done without mathmap, but why reinvent the wheel right?
Location : EastLink Freeway, next to northbound carriageway, south of Thompson Road.
Setting : Rugged Australian landscape.
Simeon Nelson's Desiring Machine, completed in 2008, is a 36 metres long galvanised steel structure that looks like a
fallen tree or tower.
Desiring Machine was one of four large scale permanent sculpture commissions for the new Eastlink Motorway in Melbourne designed by architects Wood Marsh.
Desiring Machine is a fallen tree/tower lying by the roadway. It is a crashed relic of machine-age desire putting down new roots into the earth and unfurling tendrils from it’s architectonic radii and sections.! To motorists speeding past it is an indeterminate blur, a silhouetted filigree that might be a decaying windmill or other piece of obsolete agricultural machinery memorializing the struggle of humans to co-exist with nature.
The cause of this optical confusion is a vegetal motif, a floral border from a 19th century pattern book that has been adapted to form the base unit of the modular system of this sculpture. It is composed entirely of three repeated modular units generated from the ‘original’ pattern.
Its recursive plant-like structure unfolds from a single stem five units long that branches into 4 stems, three units long which in turn branches into 9 stems, two units long and finally branches into 16 stems, each one unit long
It is too mechanical and perfectly symmetrical to be a tree and it is too ornate to be an industrial artefact. In Desiring Machine a collision of abstraction and ornamentation is played out. The ornament is the structure and an uneasy truce between opposed principles is struck. It appears vaguely utilitarian, logical, (masculine); it could have been left behind by the road builders or be a collapsed electricity pylon. If so, its structural logic is obscured by intense ornament as if it had been infected (feminized) by frilly net curtain, “toilet doily” or other item of domestic frippery.
These stereotypical and untenable oppositions are deployed in a playful critique of Modernism as a failed project, a neurotic and moralizing world-view that objectified nature as passive and mechanical to be controlled and made useful. Paradoxically, Desiring Machine suggests a pre-modern Aristotelian conception of nature as an animate libidinal plurality awash with purpose, striving and desire.
" My use of this title is in part indebted to by Deleuze and Guattari’s use of it in Anti-Oedipus, Capitalism and Schizophrenia." --- according to the artist.
...The past inside the present...
Boards of Canada
This is my first attempt at the Droste Effect. I've always been interested in recursive art. Never thought I'd be able to grasp it. Big ups to the talented Josh Sommers, and his fantastic tutorial. Thanks dude <3
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www.flickr.com/photos/psychoactivartz/3534301065/sizes/l/
Although Mandelbrot invented the word fractal, some objects featured in The Fractal Geometry of Nature had been previously described by other mathematicians (the Mandelbrot set being a notable exception). However, they had been regarded as isolated curiosities with unnatural and non-intuitive properties. Mandelbrot brought these objects together for the first time and turned them around into essential tools for the long-stalled effort of extending the scope of science to non-smooth parts of the real world. He highlighted their common properties, such as self-similarity (linear, non-linear, or statistical), scale invariance and (usually) non-integer Hausdorff dimension.
He also emphasized the use of fractals as realistic and useful models of many phenomena in the real world that can be viewed as rough. Natural fractals include the shapes of mountains, coastlines and river basins; the structure of plants, blood vessels and lungs; the clustering of galaxies; Brownian motion. Man-made fractals include stock market prices but also music, painting and architecture. Far from being unnatural, Mandelbrot held the view that fractals were, in many ways, more intuitive and natural than the artificially smooth objects of traditional Euclidean geometry.
The word "fractal" has two related meanings. In colloquial usage, it denotes a shape that is recursively constructed or self-similar, that is, a shape that appears similar at all scales of magnification and is therefore often referred to as "infinitely complex." In mathematics a fractal is a geometric object that satisfies a specific technical condition, namely having a Hausdorff dimension greater than its topological dimension. The term fractal was coined in 1975 by Benoît Mandelbrot, from the Latin fractus, meaning "broken" or "fractured."
...it's mysterious how beautifully da universe is designed. Music and art are in and out of every part of it and us. No wonder (yes! wonder!) we are creative beings.
Special Advance Notice for Special Communities
I know you all are BUSY. Also, I know you like to come here and hang out with the community since we enjoy finding some of the best stuff, sharing tricks, techniques, and art with you. However, some people go the extra mile. For each little sub-community within Stuck In Customs, I try to do something extra special:
Newsletter Subscribers - I gave out a $50 off coupon on something cool just to subscribers, and many acted on it! Cool! The Newsletter is free, so why not join? Besides that, I try to give advance notice on all sorts of things.
Facebook Fans - I gave these fine people an advance link to a new review I am doing, so they can see it before anyone else. The Fan page was started by a Dutch fan, and we are starting to do all sorts of things on it, including a fun discussion on Which Lens do you Want?
Twitter Followers - Many times throughout the week, I open it up for questions on the new book or anything in between. I think it is cool that I can have direct contact with so many people -- I really try my best to answer most everyone! In addition, I sprinkle in all sorts of inspirational art finds and do my best to keep things fun and light - the way the internet should be!
If you are a member of one or more of these special sub-communities - let me know any other ideas you might have!
Chicago Party in a Few Days!
Woo! This will be fun! The New York and Austin parties were exciting and fun - I really enjoyed getting to meet people and the like. Chicago is next. You can either RSVP on the Facebook Event Page or see more info here on the site!
Daily Photo - Belly up to the Bar
Here is another shot from the ultra-cook Hotel Sax, where we are having the party mentioned above. The Hotel Sax has tons of these really swanky rooms that have a very nice feeling about them. Now, I don't drink alcohol at all... which makes awesome bars like this a little disappointing... but not so disappointing if there is someone interesting to talk to!
I actually, on occasion, end up with people who spend half the time talking about previous drinking experiences while having a drinking experience. I suppose this becomes a recursive function at some point... and I guess it's no different than going out with photographers and talking about other photography outings!
From the blog at www.stuckincustoms.com
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Thank you!
This is the simplest recursive/fractal model I have come up with so far. It is folded from a square. Due to the very high shrinkage factor, which is almost 4, it is hard to fold many levels, and the model doesn’t look too spectacular since the smaller copies of the motif are so small. Still, I think it’s noteworthy due to the extreme simplicity.
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© Cynthia E. Wood
www.cynthiawoodphoto.com | FoundFolios | facebook | Blurb | Instagram @cynthiaewood
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See more photos and abstract drawings in my gallery on DeviantArt:
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Cyanotype on a distressed envelope which bore my address in Tampa -- making it ten years old, easy. Sized with a mixture of gelatin and acrylic dispersant gel, developed in water, tannic acid, citric acid and ammonia. I sprayed it down with an acrylic fixer, as well, before it had time to oxidize properly.
This particular image is from another cyanotype, created by reassembling digital inkjet negatives. I then scanned the resulting print, adjusted it slightly and printed it right back out on a transparency, resized. I exposed and developed it again, as witnessed above.
I'm sure if I kept scanning, printing, coating, exposing, developing, scanning, printing, coating, etc -- the self-same recursive image might eventually come out looking like a drain-plug on the back of God's head.
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
Last saturday we had a little meeting of five ori-friends* this time near Landsberg/Bavaria.
It was an inspiring small meeting and each of us has taught a model.
Here you can see our result:
Camelie - M. Hermsen
HeartBox - H-W Guth
Stern Katharina - C. Sprung
6 Point Recursive Star - Jorge Jaramillo
and - sadly not to be seen - a frog by John Montroll (this was at the very end of our meeting) :))!!
A wonderful day with lot of folding and having fun !!
* Anett, Christoph, Kerstin, Susanne and me (Ilse)
My digital cherry blossom experiment. A test of rules, recursion, and randomness, with a bit of an origami feel to it.
Modeled entirely in Structure Synth and rendered with sunflow. Check it out large.
©2008 David C. Pearson, M.D.
Although I love photomanipulation, I don't like the idea to use those images in my project 365.
This one is an exception to the rule. Since the first time I saw this effect (in the photostream of Seb Przd [ flickr.com/photos/sbprzd/ ]), I have tried to reproduce it during months!
This kind of pictures are created applying some mathematic formulas. In order to apply those formulas, you need to use a Gimp plugin called Mathmap.
The first problem is that Mathmap is not available for Windows platform, it is only compiled for Mac and Linux. So I had to set up a Linux box. I installed an Ubuntu distro using VMWare.
I also managed to compile Mathmap.
The next step was to understand the maths behind this effect. There were some web explaining them, but my knowledge was not enough to understand them. If you feel interested in taking a look at them, follow this links:
escherdroste.math.leidenuniv.nl
www.josleys.com/articles/printgallery.htm
After several tries, I was not able to get any results. Then, Seb Przd wrote an article in his blog (http://theseblog.free.fr/) where he was explaining in more detail how he was generating those images. I found it quite useful, and I started to make some progress with my formulas.
I was very close to get the final result, but it was another user (breic) who posted a complete working formula for this effect (see this post flickr.com/groups/88221799@N00/discuss/72157594375692616). That formula contained the piece that I was missing.
So, after several months, now I am able to generate this strange pictures... And I feel happy about that.