Скачать или смотреть Julia fractal wave function morph: around whole Mandelbrot

This video shows a Julia set as its parameter changes around the point at -0.5. This corresponds to roughly the centre of the Mandelbrot set.

The Julia set parameter in this animation is determined by sine wave functions that depend on both time and location. This means that not only does the parameter vary with time, but it also differs from one location on the image to another. A still frame will have different areas that resemble different Julia sets, all smoothly blending with each other. Another way to think of this is to consider that every possible Julia set of this type could be represented in four-dimensional space (the 2D Julia set depends on two different numbers - the real and imaginary components of the parameter). This animation shows a changing, wavy cross-section through that four-dimensional space.

This animation was created as one seamlessly-looping 20 second clip, two of which have been added together to create this video. It was rendered using the distance estimation method and makes use of temporal anti-aliasing (motion blur) to create a smooth feel and reduce wagon-wheel effects. It was made by my own software.