THE ART OF NATHAN SELIKOFF - DIMACSdimacs.rutgers.edu/Workshops/MathArt/Slides/selikoff.pdf ·...

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

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

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);

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

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/

THE ART OF NATHAN SELIKOFF - DIMACSdimacs.rutgers.edu/Workshops/MathArt/Slides/selikoff.pdf ·...

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