THE ART OF NATHAN SELIKOFF - DIMACSdimacs.rutgers.edu/Workshops/MathArt/Slides/selikoff.pdf ·...
Transcript of THE ART OF NATHAN SELIKOFF - DIMACSdimacs.rutgers.edu/Workshops/MathArt/Slides/selikoff.pdf ·...
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T H E A RT O F N AT H A N S E L I K O F FAesthetic Explorations of Algorithmic Space
www.nathanselikoff.com
All images remain copyright ©2009 by Nathan Selikoff or the original Copyright owners
Friday, May 22, 2009
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A S O C I E T Y O F S T I C K P E O P L ER E A L - T I M E I N T E R A C T I V E S O F T WA R E D E M O
Friday, May 22, 2009
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A S O C I E T Y O F S T I C K P E O P L ER E A L - T I M E I N T E R A C T I V E S O F T WA R E D E M O
Friday, May 22, 2009
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B A C K G R O U N DLogistic map & Mandlebrot set
Friday, May 22, 2009
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B A C K G R O U N DLogistic map & Mandlebrot set
Friday, May 22, 2009
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B A C K G R O U N DLogistic map & Mandlebrot set
Friday, May 22, 2009
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B A C K G R O U N DPendula
Friday, May 22, 2009
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B A C K G R O U N DPendula
Friday, May 22, 2009
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B A C K G R O U N DPendula
Friday, May 22, 2009
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B A C K G R O U N DPendula
Friday, May 22, 2009
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B A C K G R O U N DLorenz
Friday, May 22, 2009
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B A C K G R O U N DLorenz
Friday, May 22, 2009
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B A C K G R O U N DLorenz
Friday, May 22, 2009
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B A C K G R O U N DLorenz
Friday, May 22, 2009
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B A C K G R O U N DLorenz
xn = x + a*d*(y-x);yn = y + d*(b*x - y - z*x);zn = z + d*(x*y - c*z);
Friday, May 22, 2009
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B A C K G R O U N DLorenz
xn = x + a*d*(y-x);yn = y + d*(b*x - y - z*x);zn = z + d*(x*y - c*z);
Friday, May 22, 2009
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ÆXPLORATIONReal-time Interactive Software Demo
Friday, May 22, 2009
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E X P L O R I N G & C H A R A C T E R I Z I N G T H E S Y S T E MLyapunov Exponent, Faces of Chaos
Friday, May 22, 2009
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E X P L O R I N G & C H A R A C T E R I Z I N G T H E S Y S T E MLyapunov Exponent, Faces of Chaos
Friday, May 22, 2009
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E X P L O R I N G & C H A R A C T E R I Z I N G T H E S Y S T E MLyapunov Exponent, Faces of Chaos
Friday, May 22, 2009
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E X P L O R I N G & C H A R A C T E R I Z I N G T H E S Y S T E MLyapunov Exponent, Faces of Chaos
Friday, May 22, 2009
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E X P L O R I N G & C H A R A C T E R I Z I N G T H E S Y S T E MLyapunov Exponent, Faces of Chaos
Friday, May 22, 2009
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D I G I TA L C H R O N O P H O T O G R A P H YA Society of Stickpeople
Friday, May 22, 2009
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D I G I TA L C H R O N O P H O T O G R A P H YA Society of Stickpeople
Friday, May 22, 2009
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D I G I TA L C H R O N O P H O T O G R A P H YA Society of Stickpeople
Friday, May 22, 2009
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D I G I TA L C H R O N O P H O T O G R A P H YA Society of Stickpeople
Friday, May 22, 2009
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D I G I TA L C H R O N O P H O T O G R A P H YA Society of Stickpeople
Friday, May 22, 2009
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D I G I TA L C H R O N O P H O T O G R A P H YA Society of Stickpeople
Friday, May 22, 2009
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E X P L O R I N G F O R MVolumetric Rendering Techniques
Friday, May 22, 2009
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E X P L O R I N G F O R MVolumetric Rendering Techniques
Friday, May 22, 2009
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F I L L I N G S PA C E & Q U E S T I O N I N G R E L AT I O N S H I P S
Friday, May 22, 2009
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F I L L I N G S PA C E & Q U E S T I O N I N G R E L AT I O N S H I P S
Friday, May 22, 2009
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F I L L I N G S PA C E & Q U E S T I O N I N G R E L AT I O N S H I P S
Friday, May 22, 2009
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F I L L I N G S PA C E & Q U E S T I O N I N G R E L AT I O N S H I P S
Friday, May 22, 2009
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F I L L I N G S PA C E & Q U E S T I O N I N G R E L AT I O N S H I P S
Friday, May 22, 2009
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F I L L I N G S PA C E & Q U E S T I O N I N G R E L AT I O N S H I P S
Friday, May 22, 2009
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F I L L I N G S PA C E & Q U E S T I O N I N G R E L AT I O N S H I P S
Friday, May 22, 2009
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F I L L I N G S PA C E & Q U E S T I O N I N G R E L AT I O N S H I P S
Friday, May 22, 2009
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F I L L I N G S PA C E & Q U E S T I O N I N G R E L AT I O N S H I P S
Friday, May 22, 2009
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GOING BACKWARDS
Friday, May 22, 2009
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Original Equations
x' = (sin(y*b)+c*sin(x*b))
y' = (sin(x*a)+d*sin(y*a))
GOING BACKWARDS
Friday, May 22, 2009
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Original Equations
x' = (sin(y*b)+c*sin(x*b))
y' = (sin(x*a)+d*sin(y*a))
One Recursion
x' = sin((sin(x*a)+d*sin(y*a))*b)+c*sin((sin(y*b)+c*sin(x*b))*b)
y' = sin((sin(y*b)+c*sin(x*b))*a)+d*sin((sin(x*a)+d*sin(y*a))*a)
GOING BACKWARDS
Friday, May 22, 2009
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Original Equations
x' = (sin(y*b)+c*sin(x*b))
y' = (sin(x*a)+d*sin(y*a))
One Recursion
x' = sin((sin(x*a)+d*sin(y*a))*b)+c*sin((sin(y*b)+c*sin(x*b))*b)
y' = sin((sin(y*b)+c*sin(x*b))*a)+d*sin((sin(x*a)+d*sin(y*a))*a)
Two Recursions
x' = sin((sin((sin(y*b)+c*sin(x*b))*a)+d*sin((sin(x*a)+d*sin(y*a))*a))*b)+c*sin((sin((sin(x*a)+d*sin(y*a))*b)+c*sin((sin(y*b)+c*sin(x*b))*b))*b)
y' = sin((sin((sin(x*a)+d*sin(y*a))*b)+c*sin((sin(y*b)+c*sin(x*b))*b))*a)+d*sin((sin((sin(y*b)+c*sin(x*b))*a)+d*sin((sin(x*a)+d*sin(y*a))*a))*a)
GOING BACKWARDS
Friday, May 22, 2009
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T E S T PAT T E R N
Friday, May 22, 2009
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SOURCES
http://www.nathanselikoff.com
http://bugman123.com/Fractals/Fractals.html
http://www.magnetnerd.com/Neodymium%20Magnets/art.htm
http://bulbphotography.com/pendulum/gallery.php
http://math-art.net/2007/12/02/lorenz-attractor-a-3d-render/
http://www.reinhardkargl.com/iBlog/iBlog2008.html
http://talklikeaphysicist.com/2008/lorenz-attractor/
Friday, May 22, 2009