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Topic: SuperFormula (Read 479 times) |
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Glen Murphy
 
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SuperFormula
« on: Apr 3rd, 2003, 7:36am » |
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This may be of interest:
http://www.nature.com/nsu/030331/030331-3.html
"One simple equation can generate a vast diversity of natural shapes, a Dutch biologist has discovered. The Superformula, as its creator Johan Gielis has christened it, produces everything from simple triangles and pentagons, to stars, spirals and petals."
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mr.prufrock
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Re: SuperFormula
« Reply #1 on: Apr 3rd, 2003, 11:37am » |
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Interesting. I wonder if the formula can generate more complex forms than what is shown. All the forms seem to have rotational symmetry...
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I grow old...I grow old
I shall wear the bottoms of my trousers rolled.
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Martin
    
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Re: SuperFormula
« Reply #2 on: Apr 3rd, 2003, 11:37am » |
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bummer. the formula isn't given.
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benelek
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Re: SuperFormula
« Reply #3 on: Apr 3rd, 2003, 2:34pm » |
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my guess is - since it's derived from the equation of a circle - that it would have a lot to do with rotational symetry, or at least theoretically related to variation based on distance and angle from the center. yeehaa?
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Glen Murphy
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Re: SuperFormula
« Reply #4 on: Apr 4th, 2003, 2:37am » |
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The formula is patented, and is probably detailed in the paper referenced at the end of the article.
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polyscope
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Re: SuperFormula
« Reply #5 on: Apr 4th, 2003, 12:52pm » |
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This looks similar (although the math is beyond me):
http://astronomy.swin.edu.au/~pbourke/curves/supershape/
Edit: Part of the Gielis paper is linked from there also.
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| « Last Edit: Apr 4th, 2003, 12:55pm by polyscope » |
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benelek
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Re: SuperFormula
« Reply #6 on: Apr 6th, 2003, 6:56am » |
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that link's a good one. actually talks about the equation itself 
-jacob
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Glen Murphy
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Re: SuperFormula
« Reply #7 on: Apr 6th, 2003, 9:25am » |
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Paul Bourke rocks.
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Glen Murphy
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Re: SuperFormula
« Reply #8 on: Apr 6th, 2003, 11:58am » |
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done: http://bodytag.org/supershapes1/
will post this in the appropriate examples section once I've tested on a mac (tomorrow sometime).
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benelek
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Re: SuperFormula
« Reply #9 on: Apr 8th, 2003, 12:31am » |
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SuperShape shape1 = new SuperShape(m, n1, n2, n3, scale, mp);
//a new shape type for p5?
Glen, im not getting much action out of ur applet. i put in new values, and when i press 'go' they reset themselves. im on a pc with ie6. the auto applet works wonderfully though!
-jacob
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