There is a four dimensional Julia set for every four dimensional quaternion. We can label each quaternion using four numbers.

I decided to “unfold” the first two values of the quaternion onto a plane and animate the last two values. The camera is centered at (0,0) and Julia sets are placed at intervals of 0.1 off to infinity for both axes.

You can start to see the larger structure present more clearly. Perhaps a three dimensional unfolding next?

Dead Cities – Future sound of London, nice.

Was nearly brought to tears…