The Foun-tao
Videos
A visualization of the neighbouring exponent space near the Buddhabrot starting from a simple z+c where everything except c equal zero eventually diverges (linearly) to infinity. As the exponent of z increases the displayed orbit dynamics become more and more complex and a region of stability appears around the origin. Each integer exponent after one adds a new "head" for the Buddhabrot. As the exponent grows from odd to even a new head centered on the negative real number line appears. As the exponent grows past the even integer the newly-created head splits into two. The bifurcation process completes once the exponent reaches the next largest odd integer. After this the cycle begins anew.
The accompanying music is 'Forgiven' by Alan Frijns.