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Art with a Mathematical Twist

Soulskill posted more than 6 years ago | from the just-like-on-your-graphing-calculator dept.

Math 69

Euler points out a story about art created through mathematics. The Science News article covers selections from a recent exhibit, where over 40 artists gathered to show their work and the math behind it. The rest of the pieces are also viewable at the exhibit's website. "Michael Field, a mathematics professor at the University of Houston, finds artistic inspiration in his work on dynamical systems. A mathematical dynamical system is just any rule that determines how a point moves around a plane. Field uses an equation that takes any point on a piece of paper and moves it to a different spot. Field repeats this process over and over again--around 5 billion times--and keeps track of how often each pixel-sized spot in the plane gets landed on. The more often a pixel gets hit, the deeper the shade Field colors it."

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Sometimes math is created through the arts (5, Interesting)

CRCulver (715279) | more than 6 years ago | (#22456188)

When it comes to the relationship between mathematics and the arts, my favourite example is the music of Per Norgard. In 1959 Norgard discovered a way of serializing melody that resulted in endless self-similarity, a type of fractal. He termed it the infinity series [pernoergaard.dk] , and though the two-tone infinity series had already been discovered by mathematicians, the application of the principle to chromatic and diatonic scales resulted in a series no mathematician had discovered before. The infinity series is a fascinating concept, and in Norgard's works like the Symphony No. 3 [amazon.com] it proves immensely beautiful.

Other composers have, of course, made use of mathematical processes. The golden section is often heard in Bartók, for example, though who knows if it was done consciously.

Re:Sometimes math is created through the arts (2, Interesting)

opec (755488) | more than 6 years ago | (#22456868)

I'm a musician and nerd, so I had to look up Norgard. Those crazy Danish, I found out that his name is fully Nørgard. Lucky me, I'm sitting working at the library and my search tells me we have recordings of his in the collection. Sweet. Fractal art is good stuff.

Re:Sometimes math is created through the arts (1)

jhol13 (1087781) | more than 6 years ago | (#22467144)

I remember one of the first graphics gurus to say "I wish I'd never see another fractal". That was about 20 years ago. Oh boy do (and did) I agree with him.

Unfortunately I do not remember his name.

Re:Sometimes math is created through the arts (0)

Anonymous Coward | more than 6 years ago | (#22473056)

I remember one of the first graphics gurus to say "I wish I'd never see another fractal". That was about 20 years ago. Oh boy do (and did) I agree with him.

Unfortunately I do not remember his name.


Benoit Mandelbrot?

Re:Sometimes math is created through the arts (2, Interesting)

Coryoth (254751) | more than 6 years ago | (#22457082)

For an interesting take on mathematical analysis of music, you could try The Topos of Music [amazon.com] . It sets out to apply deep modern mathematics to issues of musical composition. Starting with a base in category theory and topos theory (hence the title), it can then spiral down to using differential geometry and algebraic geometry. Personally I don't know enough music theory to know if it really stacks up, but it is certainly mathematically very interesting (and goes well beyond the basic mathematical dabbling of some approaches to bringing math into music that I've seen).

Re:Sometimes math is created through the arts (2, Interesting)

popmaker (570147) | more than 6 years ago | (#22457544)

But what's the point? Is it achivement in itself to make use of mathematics in music? I would think that the real justification for the whole thing was musical value, not mathematical. The whole idea should be that by bringing mathematics to music, you would be able to create music that sounds truly fascinating, but it sound from you that being able to use the mathematics at all is enough.

I am a little skeptic about bringing mathematics to music - sometimes it seems to be the end in itself, which it shouldn't be. But on the other hand, if the results are MUSICALLY interesting, that's another story. Like the mathematical construction of a truly bizarre polyrhythm. But that still doesn't go beyond simple modular arithmetic.

Some mathematical stuff in music just sounds superficial... like (actual) the idea of writing a piece which shifts the tempo with a ratio of pi : e. You might think it's cool, I don't know, but no one really cares if the ratio is pi : e or 1.2 or "just slightly faster". There is no intrinsic musical value in the idea. So... is it really worth it?

Re:Sometimes math is created through the arts (1)

Threni (635302) | more than 6 years ago | (#22457760)

> But on the other hand, if the results are MUSICALLY interesting, that's another story.

Now all you have to do is define "musically interesting". Shouldn't be too hard. After that you can help the AI guys out with a workable definition of either "conciousness" or "intelligence".

Re:Sometimes math is created through the arts (1)

popmaker (570147) | more than 6 years ago | (#22457866)

Think about: "Does it still sound good if you don't know the mathematics"? The piano (and most modern instruments) are tuned using an exponential function with base 2. Most people like music regardless of weather they know this or not. So, in this way the exponential is "musically interesting"... take it as "definition through examples" - I'll provide more of them if you want.

This is a very stretchable defintion and I am very fond of any kind of a mathematical experiment which might provide musical ideas. But at some point it becomes just math geeks jerking off. If that isn't clear, I can define "jerking off" for you if you want.
The AI guys are on their own.

Re:Sometimes math is created through the arts (1)

mpiktas (740253) | more than 6 years ago | (#22460354)

Aah, you've hit the head of the nail. Math and music do have something in common, but there is nothing mistical going on. But that does not stop people from creating various comparisons and drawing far reaching conclusions. The sad part that these people usually are neither mathematicians nor musicians.

Re:Sometimes math is created through the arts (2, Insightful)

Threni (635302) | more than 6 years ago | (#22460708)

> The piano (and most modern instruments) are tuned using an exponential function with base 2.

It's not quite that simple.

> So, in this way the exponential is "musically interesting"... take it as "definition through examples" -
> I'll provide more of them if you want.

The point is, it's all subjective. Some people make music using this or that system (improvisation, strict counterpoint, using elements of chance, partly composing but leaving decisions to the performer, algorithmically defined music(wholly or partly)), and some people like it, and some don't. At least one person finds all sorts of music interesting, so it's not a very fruitful definition.

Re:Sometimes math is created through the arts (1)

Coryoth (254751) | more than 6 years ago | (#22462560)

Oh I didn't say it wasn't musically interesting, just that I (being a mathematician and not a musician) am probably not the best person to judge the musical quality. From the mathematial point of view, however, it provides a very elegant and deep mathematical framework from which to build a theory of composition and a theory of performance. DO these theories, put into practice produce great music? Well it sounds good to me, but then I'm hardly a good judge... and that was all I was saying.

Re:Sometimes math is created through the arts (1)

popmaker (570147) | more than 6 years ago | (#22469234)

Well, all criticism aside... I am actually deeply intrigued. I've always liked the mathematics of music.

Where are the fractals? (1)

BrunoUsesBBEdit (636379) | more than 6 years ago | (#22462886)

What a waste of time. I just studied the entire site you linked to and there was nothing to see. It's to early to read about math. I'm looking for my Monday AM inspiration.

Salvador Dali (1)

MrKaos (858439) | more than 6 years ago | (#22469536)

I'm surprised that no-one has mentioned that Salvador Dali's works were heavily influences by his fascination with science and mathematics. Several examples exist but one that sticks out immediately is Crucifixion (Corpus Hypercubus) [wikipedia.org] which points to the paradox his own mind must of dwelled in supported by what I heard him say in an interview (sorry this is from memory so it may not be exact) "The mathematical and scientific evidence I've observed tells me that God exists, but I don't believe it". This from a man who spent time with people like Einstein, Freud and other notable scientist of the 20th Century.

Doesn't most art have a mathematical twist? (2, Interesting)

pipoca (1142297) | more than 6 years ago | (#22456208)

If you have the photorealism of the Rennaisance, you get all of the math involved in regular life (e.g. the golden ratio). With various less realistic artists (e.g. Pollock, Van Gogh), haven't mathematicians found various deep mathematical patterns in their work? This is what you get when you start out with pure math, and turn it into art, whereas most of art is what you get when you have an intuitive understanding of math (i.e. what looks good) and go with that. All art has math in it.

Re:Doesn't most art have a mathematical twist? (1)

Fallen Seraph4 (1186821) | more than 6 years ago | (#22456338)

That's all very well if you define math to be "what looks good". But most mathematicians consider it to be something a little bit more rigorous. Incidentally, if you think all is beautiful, try solving systems of linear equations or ODE's. Really freaking ugly maths.

Re:Doesn't most art have a mathematical twist? (1)

DeadChobi (740395) | more than 6 years ago | (#22458054)

Beauty is when all the pieces fall together to create something new. ODEs and Linear Algebra are both beautiful in that respect.

Some great examples of mathematical art (5, Informative)

paroneayea (642895) | more than 6 years ago | (#22456238)

If you're interested in pretty, shiny, mathematical things that you can run on Linux, check out:
  - electricsheep: animated fractal flames: http://www.electricsheep.org/ [electricsheep.org] (I highly recommend running this as your screensaver, though it takes a bit for the first sheep to download)
  - Jenn: pretty, shiny, blue(?) polytopes, rendered on your computer: http://www.math.cmu.edu/~fho/jenn/ [cmu.edu]

Anyone have any others?

Re:Some great examples of mathematical art (1)

CRCulver (715279) | more than 6 years ago | (#22456252)

I second the recommendation of Electric Sheep. I've been running it as my screensaver now for six years, and the images it generates just get more and more beautiful.

Re:Some great examples of mathematical art (1)

Janek Kozicki (722688) | more than 6 years ago | (#22456856)

I just tried it. It took long to download the first one, but tell me - are all those movies so short? Or is that because I just started it, and it needs more time to download/generate? Currently I have two movies here, and they are only 5 seconds each. It's difficult to watch them being that short, before I start appreciating the movie - it ends.

Re:Some great examples of mathematical art (1)

CRCulver (715279) | more than 6 years ago | (#22456878)

The animations are short, but you can vote on ones you like so that they appear more often. See the documentation.

Context Free (5, Informative)

replicant108 (690832) | more than 6 years ago | (#22456406)

Context Free is a program that generates images from written instructions called a grammar. The program follows the instructions in a few seconds to create images that can contain millions of shapes. The program itself is GPLed and available here [contextfreeart.org] .

As you can see from the link below, some of the results from this project are stunning.

Context Free Art gallery [contextfreeart.org] .

Re:Some great examples of mathematical art (2, Informative)

maxume (22995) | more than 6 years ago | (#22456474)

Re:Some great examples of mathematical art (1)

paroneayea (642895) | more than 6 years ago | (#22456498)

Chaoscope looks *awesome*. Too bad it isn't open source, I'd love to run it locally :\

Re:Some great examples of mathematical art (1)

maxume (22995) | more than 6 years ago | (#22456542)

Sorry about that, I misremembered and didn't check. The FAQ does mention eventually opening the source:

http://www.btinternet.com/~ndesprez/faq.htm [btinternet.com]

Re:Some great examples of mathematical art (0)

Anonymous Coward | more than 6 years ago | (#22456896)

Darn it! For a second there I thought it said chocoscope. Hmm. Yummy, old-style chocolate pr0n!.

Processing (4, Informative)

mingrassia (49175) | more than 6 years ago | (#22456948)

>> Anyone have any others?

Perhaps the king of all environments (at least in my mind) is Processing [processing.org] . It is a Java based environment created by Ben Fry [benfry.com] and Casey Reas [reas.com] . It's open source, has a huge active community [processing.org] , and plenty of 3rd party libraries [processing.org] for exploring things like computer vision, audio, physics, ray tracing, AI, etc.

There are a ton of really talented people doing cool things in Processing. Too many to list here, check out the Exhibition [processing.org] page for things to play around with.

Re:Some great examples of mathematical art (1)

cycoj (1010923) | more than 6 years ago | (#22457006)

fyre http://fyre.navi.cx/ [fyre.navi.cx] is quite cool as well

Re:Some great examples of mathematical art (1)

platyk (696356) | more than 6 years ago | (#22457502)

I started a web site along these lines--only had time to implement one idea so far. It's an applet that looks at the Mandelbrot set in a different way from the usual approach:
http://platy.org/ [platy.org]

already slashdoted second site (1)

3seas (184403) | more than 6 years ago | (#22456242)

....oh well, so much for mathematical art on the web...

IFS, fractal flames (4, Informative)

Anonymous Coward | more than 6 years ago | (#22456280)

The images described in the summary (which are not really representative of most of the stuff in the gallery, just Fields's stuff) are generally known as iterated function systems [wikipedia.org] , and perhaps belong to the subset known as fractal flames. The description is fairly accurate, but the images he has made are rather unimpressive compared to ones I've seen (and made myself). Probably the best known example of a fractal flame program is Electric Sheep [electricsheep.org] . However, another good program for making fractal flames is called Apophysis [sourceforge.net] (regretfully, it's Windows only, but does work fairly well under Wine). I've been working with Apophysis for about 3 years now, and trust me, there's a lot of more artistic stuff out there that uses fractal flames. Even some of the stuff on Wikimedia Commons [wikimedia.org] is better than his stuff.

Coincidentally, my captcha was "artful".

Re:IFS, fractal flames (1)

bgspence (155914) | more than 6 years ago | (#22461038)

But, Electric Sheep was released in 1999.

Field's book, 'Symmetry in Chaos: A Search for Pattern in Mathematics, Art, and Nature' was released in 1992. He is one of the early mathematicians doing work in iterated symmetric systems.

His work might be unimpressive to you, and Mandelbrot's set might seem old hat, but they were the guys who did the math you borrow..

Re:IFS, fractal flames (0)

Anonymous Coward | more than 6 years ago | (#22463220)

Michael Barnely's "Fractals Everywhere" was released in 1988, which is all about using IFSs with images (his whole "fractal compression" scheme).

Benoit Mandelbrot was exploring generating julia set images using IFSs in 1980 (see his paper "Fractal Aspects of Complex Iteration"), based on the theories of Gaston Julia from 1918.

Re:IFS, fractal flames (1)

Nicolas Desprez (712482) | more than 6 years ago | (#22461332)

Incidentally, Field's image on the first link is a strange attractor rather than an IFS. It's an Icon, which is one of the few equation to produce symmetrical sets. The degree of symmetry is one of the equation constants, so I'm sure he won't have any trouble creating a new image for each of his wife's birthday.

Been done (1)

Arnlod (1103739) | more than 6 years ago | (#22456308)

Constructivism, Suprematism, Cubism, Bauhaus, Serial compositions, twelve-tone theory. Math in Art is so not new or news. kthxbye

Re:Been done (0)

Anonymous Coward | more than 6 years ago | (#22457588)

MC ESCHER

I have this thought... (1)

coolhaus (186994) | more than 6 years ago | (#22456392)

[shameless plug] I have this thought nearly every time I read XKCD.[/shameless plug]

New and yet not new (3, Informative)

fractalus (322043) | more than 6 years ago | (#22456404)

It's true that mathematical proportions and structures have been found in artwork for centuries, but what's different about these things is the role of the algorithm and raw computational power in producing this artwork. These are works that could not have been done before the availability of computers. The artist directs and controls the mathematics, using them like other artists use different kinds of paints, brushes, and canvas. But the computer does the mind-numbingly tedious work of billions of computations to render it on-screen. This is not all that different from artists using 3D sculpting and rendering tools; it's just a different set of algorithms.

Others have pointed out Electric Sheep and Apophysis; these focus on one particular type of non-linear iterated function system, the "fractal flame". There are many other fractal rendering tools out there, some free, some not. Wikipedia has a list if you're interested. This is a medium that has been in constant change for twenty years and doesn't look like it's ready to settle down any time soon.

Other resources (0)

Anonymous Coward | more than 6 years ago | (#22456428)

For anyone else interested in looking at procedurally generated art, take a look at http://www.complexification.net/gallery/ [complexification.net] -- It hasn't been updated in quite a while, but there's some very neat things hanging around in there.

Generative art. (0)

Anonymous Coward | more than 6 years ago | (#22456440)

Just google "generative art" and you'll get more than enough responses to check out.

My favourite: http://www.complexification.net/ [complexification.net]

Fractint? (0)

Anonymous Coward | more than 6 years ago | (#22456442)

This is cool stuff, but not groundbreaking. Take Fractint, add some steroids, and run it on a fast system and this is what you get.

Lag (0, Redundant)

junner518 (1235322) | more than 6 years ago | (#22456466)

Apparently the servers cannot handle the /. horde

Re:Lag (1)

gardyloo (512791) | more than 6 years ago | (#22456750)

Nerdling rush!

Mathematical Music (3, Interesting)

ilikepi314 (1217898) | more than 6 years ago | (#22456488)

What I found more interesting than mathematical art was the music produced from differential equations and such.

I really wish I remember more details but a few years ago I saw a presentation by a mathematician in which he had a little program that solved some sort of equations. Grr, I'm going to hate myself now for not remembering. Well, regardless the details, it solved something and assigned the solution values specific notes/chords from a piano, so that whenever a value was obtained, the computer played that note. Thus, the time evolution gave a sequence of notes, and so he recorded this sequence.

He played a few excerpts, I tell you what, it sounded like Mozart or Beethoven. Well, certain parts you could pick up a very forced/electronic feel to it, but other parts glided so beautifully that it sounded like a master pianist was playing.

That was an incredible lecture. Perhaps anyone else knows what I speak of? I'd like to find out what program and equations were used, it was fascinating.

Re:Mathematical Music (2, Informative)

Ambitwistor (1041236) | more than 6 years ago | (#22456664)

You might find it somewhere in Wikipedia's computer generated music [wikipedia.org] article.

This is the only kind of art I can do (5, Interesting)

MillionthMonkey (240664) | more than 6 years ago | (#22456640)

A few years ago I got the idea to write code that fed massive scene files into POV-Ray. There are probably better tools nowadays but POV-Ray had the virtue of a simple scene description language that I was already familiar with. It's easy to create code to generate it.

I made a heart out of the sextic (huhhuhhuhhuh) polynomial

(2xx+2yy+zz-1)^3 - xxzzz/10 - yyzzz = 0

and had POV-Ray create a bunch of scene files by rotating this thing through 180 degrees to create an animated heart GIF. [photobucket.com] (This was back in the Dark Ages when the web was full of animated GIFs.) There were probably a thousand other animated hearts out there but this one was mine.

I got the idea to do space filling of the unit sphere with thousands and thousands of small boxes [photobucket.com] or smaller spheres, [photobucket.com] playing around with the lighting to see if I could create something vaguely moonlike [photobucket.com] with inside-out craters. I tried doing this with thousands of hearts [photobucket.com] but got bitten in the ass by a bug in POV-Ray's polynomial rendering code where it trips over a planar singularity in the heart equation, so every little heart ends up with an unromantic slit running across its equator. There were just too many to fix by hand.

The most interesting image from this technique came from a routine that recursively generated spheres, invoking itself six times per sphere to create smaller spheres on the top, bottom, left, right, front, and back, each of which then does the same thing, to a depth of 5 or 6. You end up with a Sierpinski octahedron. [photobucket.com]

All this stuff has been done to death by others. I wish I were good at drawing comics.

Re:This is the only kind of art I can do (-1, Offtopic)

Sanat (702) | more than 6 years ago | (#22456760)

Please mod up if you would please. thanks

Brian Eno, Laurie Anderson, et al (0)

Anonymous Coward | more than 6 years ago | (#22456752)

here's an interesting talk from Brian Eno:

http://www.inmotionmagazine.com/eno1.html [inmotionmagazine.com]

Eno has done quite a lot of work using various fractal composition programs.

Re:Brian Eno, Laurie Anderson, et al (1)

popmaker (570147) | more than 6 years ago | (#22457776)

Wouldn't a jazz musician who actually improvises more than he playes the melody to the song (which is common), be an "organic self-generative system" in this way? I'm surprised that Eno didn't talk about jazz at all. After all there are only a few "generative" rules like "staying in key" - if there is one - and "paying attention to the chord progression" - again, if there actually is one - in the making of a jazz solo. And live jazz is responsive to the audience, and is sensitive to whatever has happened to the person playing in his / her life and in recent days.

One notable difference is of course, that you can also have this happening in your living room with a computer system. It just surprises me that he didn't talk about jazz AT ALL. Isn't he supposed to know stuff about music or something?

Nothing new... (0)

Anonymous Coward | more than 6 years ago | (#22456862)

This is nothing new...

Check out:

http://apophysis.deviantart.com/ [deviantart.com]

polynomiography (1)

1 a bee (817783) | more than 6 years ago | (#22456902)

For an interesting and entertaining experience with fractal art, see also http://www.polynomiography.com/ [polynomiography.com] Bahman Kalantari, the creator of the site, has been exploring the artistic side of math for some time now. Have fun!

Roman Verostko (2, Interesting)

raddan (519638) | more than 6 years ago | (#22456964)

Roman Verostko and others have been doing something he calls algorithmic art [verostko.com] for awhile. E.g., put a paintbrush in a pen plotter and then write an algorithm to paint on canvas. Although sometimes I feel like artists like Verostko (who call themselves algorists) are tremendously arrogant sometimes (which I suppose makes them like many other artists), a lot of their stuff seems really beautiful to me. In particular, Verostko's pseudo-calligraphy is just mesmerizing to me-- it looks sort of like a written language, but it's not.

And of course, you can't forget the grandmaster of algorithmic art: Bach. Bach was a master of counterpoint, and the mathematical beauty of some of his works (e.g., The Art of Fugue) is readily apparent. If he indeed did not generate his works in an algorithmic way, well, that's surprising to me. Listen to Glenn Could play Bach, Partitas 1,2, and 3 [amazon.com] being my favorite...

Re:Roman Verostko (2, Informative)

theazreal (1015759) | more than 6 years ago | (#22462310)

Fugues are inherently algorithmic. You take a theme, invert, reserve, invert-reverse, modulate... Bach just did this in a particularly beautiful and inventive way. You'll find his counterpoint and stretto are also somewhat regular. http://en.wikipedia.org/wiki/Fugue [wikipedia.org]

procedural art (2, Interesting)

vesabios (1149567) | more than 6 years ago | (#22456974)

I did some mart art work awhile ago, based on Daubechies' scaling functions. Check it out: The Strangers Series [smason.com] .

Slashdot effect (1)

Doug52392 (1094585) | more than 6 years ago | (#22456988)

The site's running very slow, guess it fell victim to the infamous Slashdot Effect :)

Math and Art? (4, Funny)

iminplaya (723125) | more than 6 years ago | (#22456992)

Don't say that! next thing you know somebody is going to sue Pirate Bay for linking to pi. If that was to happen maybe we can determine how many digits are within "fair use". As far as I know, nobody has uploaded the whole thing yet.

Re:Math and Art? (1)

K. S. Kyosuke (729550) | more than 6 years ago | (#22457670)

That was exactly my thought. There is still no conclusive proof that uploading the whole Pi to The Pirate Bay would not constitute a copyright violation of all known works of art [wikipedia.org] . And a few unknown ones. Imagine that - Prince and Village People suing [slashdot.org] you for infringement of the songs they might will have recorded(*) with their gerontal voices some time in the future! Wait...? Damned, let's pray that Prostetnic Vogon Jeltz doesn't know how to count to five. Hmm, damned again, Pi is less then four, right? Duck and cover! ~_~

(* Huh? As there is no such thing as 'perfect future', I'm not sure if this makes sense! See Dr. Dan Streetmentioner's work for more information.)

Mathematics with an artistic twist (1)

Coryoth (254751) | more than 6 years ago | (#22457026)

Personally I rather some of the work by artist Benar Venet [bernarvenet.com] , in which equations and commutative diagrams are rendered as wall sized paintings. They can be surprisingly striking and beautiful. Unfortunately the website is flash, so I can't link directly to examples; you can find them under "Painting->Wall paintings".

www.deviantart.com (1)

BlueBoxSW.com (745855) | more than 6 years ago | (#22457074)

www.deviantart.com is filled with all sorts of fractal and computer generated art.

My own page,

thefusa.deviantart.com

Includes many pieces created with the help of home-grown Java filters and tools.

This is really Michael Henon's work (0)

Anonymous Coward | more than 6 years ago | (#22457182)

Back in 1962, Michael Henon took Steve Smale's notion of the infamous horseshoe and simply computed a poincare map for a series of point mappings. The original equations were something like x' = 1.4x^2 + y + 1, and y' = 0.3x. It looks like Field is simply devising new equations that have their own unique strange attractors with cool poincare map representations. Don't get me wrong, the images are awesome and Field is doing cool stuff; I just wanted to note that it was really Henon (and for that matter Lorenz, Smale and Mandelbrot) with the original ideas.

Escher (1, Informative)

Anonymous Coward | more than 6 years ago | (#22457642)

How can this thread go on this long without the obvious comment about MC Escher's hyperbolic tilings (such as the Circle Limit images)? It's not like there wasn't a world renowned mathematician (H. S. M. Coxeter) helping him work out the details... (and let's not forgot some of the inspiration he also got from Roger Penrose and his father L. S. Penrose)

roses (1)

Smallpond (221300) | more than 6 years ago | (#22458846)

Ric Werme wrote a program to draw roses on the Graphic Wonder that was entered in the Three Rivers Arts Festival back in the 70s. There is python code [wermenh.com] and some history for it here.

Shadebobs.. (1)

vjouppi (621333) | more than 6 years ago | (#22460030)

Wow!

We had shadebobs in the Amiga demoscene back in the 90s.

Good to see oldskool effects making it into the mainstream.

Paul Bourke (1)

Ari Rahikkala (608969) | more than 6 years ago | (#22461974)

It seems nobody has yet mentioned the work of Paul Bourke [uwa.edu.au] (if that name seems familiar, he hosted the POV-Ray short code competition recently featured on Slashdot [slashdot.org] ). I'm a fan of his work on fractals [uwa.edu.au] (scroll down, there's a *lot* of stuff on that page), especially slices of four-dimensional Julia sets [uwa.edu.au] . Definitely mathematical art of the highest order.

... well, that is, unless you're a fan of Ken Perlin [nyu.edu] instead ;)

Smoking clover (0)

Anonymous Coward | more than 6 years ago | (#22462602)

This sounds a lot like the smoking clover, only instead of co-originating rays, it's random points on the display. Incidentally, I've yet to find a decent smoking clover emulator.

Dynamical Systems?? (0, Troll)

AP31R0N (723649) | more than 6 years ago | (#22463540)

[offtopic pedantry]

What the fuck is a dynamicAL systems? When did people go so stupid with making up words? "Hey Jeff, how do I make this boring thing sound more interesting?" "Oh, um, make up some words, use a noun as a verb, or add inappropriate suffixes to a perfectly good word!"

Bathsheba Grossman (1)

Onymous Coward (97719) | more than 6 years ago | (#22467496)

I'm surprised there hasn't been mention of Bathsheba's work [bathsheba.com] , "exploring how math, science and sculpture meet".
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