THE ART OF NATHAN SELIKOFF - DIMACSdimacs.rutgers.edu/Workshops/MathArt/Slides/selikoff.pdf · 2009-05-22 · a society of stickpeople real-time interactive software demo friday,

T H E A RT O F N AT H A N S E L I K O F FAesthetic Explorations of Algorithmic Space

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Friday, May 22, 2009

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


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


B A C K G R O U N DLogistic map & Mandlebrot set






B A C K G R O U N DPendula








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);



xn = x + a*d*(y-x);yn = y + d*(b*x - y - z*x);zn = z + d*(x*y - c*z);


ÆXPLORATIONReal-time Interactive Software Demo


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










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












E X P L O R I N G F O R MVolumetric Rendering Techniques


E X P L O R I N G F O R MVolumetric Rendering Techniques


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


















GOING BACKWARDS


Original Equations

x' = (sin(y*b)+c*sin(x*b))

y' = (sin(x*a)+d*sin(y*a))

GOING BACKWARDS


Original Equations



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


Original Equations



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


T E S T PAT T E R N


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/
















Documents

THE ART OF NATHAN SELIKOFF - DIMACSdimacs.rutgers.edu/Workshops/MathArt/Slides/selikoff.pdf · 2009-05-22 · a society of stickpeople real-time interactive software demo friday,