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Fractal Movie: Baseline
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About the Fractal Movie (Artistic):
The "kernel" is one of the parameters that determine the shape of a fractal: change the kernel - change the fractal. The motion apparent in this movie is solely due to changing the value of the kernel. The kernel is literally a "point" - a specific location on a grid or coordinate system as described by an X value and a Y value. In this movie, the Y value of the kernel is always set to zero (Y = 0). This limits the kernel to values that fall only along the X-axis: the "baseline" - hence the name of the movie.
About the Fractal Movie (Technical):
The fractals in this movie are Julia-type fractals. Julia fractals are more interesting for their overall shape than for their details at high magnification: thus, the screen images are at a magnification of only 2X.
As previously noted, motion is achieved by continuously varying the kernel. Not all values of a kernel result in a "solution" - that is to say, produce fractals with "solid" interiors (in this movie, fractals with black areas). If the kernel crosses a boundary, the solid fractal abruptly vanishes and nothing is left but dust (mathematically, "Cantor dust"). The values for the kernel were carefully selected to produce solid fractals until the very end. In the last frame of the movie, the kernel crosses the boundary and the fractal vanishes into a puff of smoke.
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