A visualization of how an eight-way double-cross resembling a space-time diagram is iteratively transformed by the Mandelroot function at c=0.25. The perimeter clearly resembles the Julia set associated with this seed point (see this image) while the internal structure illuminates the hyperbolic nature of the originating function. The whole image is composed entirely of deformed copies of the original eight-way crossing which beautifully illustrates the self-similar nature of fractals. Almost all of the infinitely intricate detail is concentrated on the projection boundary, as is to be expected of hyperbolic geometry.

This video shows the larger context for this image.