the 3D/4D ones... nice, but what about Quaternions?

[ccampisano]

Hi there,
I got fashinated with both the inverse method and the 3D/4D images, but, regarding the latter ones, I'm quite confused.

I got to your site from here, as I was searching for the algorithm to generate/print the Mandelbrot/Julia sets, but not on C space, but on its natural exstension, Hamilton's Quaternions.

I mean I'd keep the formula z(n+1) = z(n)^2 +c,
but z will not be just z = x + iy, but rather z = ix + jy + kz + t.

To me, the natural exstension to Mandelbrot/Julia sets, beyond C space, should be in H, since H is the natural extension of C.

I wonder how that would look like!

Regards,
Corrado