On Thu, 18 Nov 2004, Jonathan Osuch wrote:
On Thursday 18 November 2004 12:58 am, Hiram Berry wrote: (...)
Yes, but that mapping is fixed to the screen rectangle. I'm suggesting the possibility, of say mapping scrnpix to the inside of the cardioid r=(1-cos(theta))/2 for example if we only want to see the orbits from the points originating on the period=1 cardioid of the M-set.
I don't know how to convert that to cartesian coordinates in this case. Your map for the domain is stated in a way that converts easily to polar coordinates, and I know that there are conversions between them. Once you have this stated in terms of what x and y equal, isn't it just a matter of initializing zed and see to your domain? The equations I submit to the list typically have zed and see assigned to variable functions for a purpose similar to yours.