Fractal Popcorn

h

0.05

n

1500

seed

Clifford Pickover's fractal popcorn is generated by a system of recurrence equations (an orbit-fractal) involving trigonometric functions. This fractal tends to cover regions of the plane with spiraling patterns that have inspired fractal art.

Details

The system of equations is

x

n+1

=

x

n

-hsin(

y

n

+tan(3

y

n

))

,

y

n+1

=

y

n

-hsin(

x

n

+tan(3

x

n

))

.

External Links

Fractal (Wolfram MathWorld)

Permanent Citation

Enrique Zeleny

"Fractal Popcorn"
http://demonstrations.wolfram.com/FractalPopcorn/
Wolfram Demonstrations Project
Published: January 9, 2014