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Navigational hierarchy for the sample animated fractals:Home : Movie Gallery : Swirls (417 KB)
 

Fractal Movie: Swirls

Low-Res Movies:

Baseline (119 KB)
Beating Heart (47 KB)
Constellations (151 KB)
Endless M (163 KB)
Incoming Tide (521 KB)
Lace (267 KB)
Melting (161 KB)
Pinwheels (505 KB)
Spiral Galaxy (279 KB)
Swirls (260 KB)

[Medium-resolution fractal movie: Swirls]

Med-Res Movies:

Baseline (185 KB)
Beating Heart (69 KB)
Constellations (232 KB)
Endless M (255 KB)
Incoming Tide (845 KB)
Lace (421 KB)
Melting (254 KB)
Pinwheels (785 KB)
Spiral Galaxy (450 KB)
Swirls (417 KB)

 

About the Fractal Movie (Artistic):

 

This movie is another good illustration of one of the fundamental characteristics of fractals: self similarity - the property that a suitably-selected portion of the image, when appropriately magnified, looks like the whole image. The first frame of the movie is a magnified portion of the Mandelbrot fractal, although it is not recognizable as such in the frame. Rather, the first frame focuses on one of the spiral filaments that contain many of the beautiful structures that are featured in other fractals and movies on this Web site. As the movie zooms in on the details of the filament, a spot appears in the image. The spot quickly grows, becoming recognizable as a smaller version of the Mandelbrot "bug" (self-similarity). But rather stopping to view the bug, the viewer’s perspective continues accelerating, finally "crashing" into the bug as the screen goes black. When played in a continuous loop, the movie gives the viewer the illusion of passing through the bug, emerging on the far side into another world of fractals.

 

About the Fractal Movie (Technical):

 

Movement in this animation is achieved by continuously changing both the fractals' image magnification and image center. The image magnification begins at a modest value of 150X, and increases to a value of 45,000X by the time the screen goes black. During the journey, the image center slowly shifts, cutting across the filament's spiral arms no less than 4 times.

 

The spiral filament featured in the first frame of this movie is the same structure featured in the movie "Melting"; however, in the movie "Swirls", the iteration threshold remains constant throughout: the melting visual effect is not employed. This same spiral filament leads to the "Diana's Pinwheels" fractal at higher magnification and with a slightly different ending image center.
 

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