David Lowenstein wrote:
so the rudy set is a new fractal type. -david
That is more than I can say. If you really want to establish this as a new fractal, rather than a new fractal type, then you should probably start with a comprehensive search of the ORGFRM database. You are no doubt aware of it. Even that won't guarantee that the "rudy set", is something new, but it's a starting point. The latest version is available at: http://home.att.net/~Paul.N.Lee/OrgForm.html From what I can tell, there are a few similar features to the fractals I have created but I haven't done anything exactly like it. What differentiates a new fractal type from just creating a unique fractal formula is a grey area and probably worth a little debate here. As you can see in the orgform collection, there are many unique and interesting variations on complex deterministic fractals. Many of the fractals listed under fractint as a fractal type were created before the formula type came along and embraced this larger collection. I personally feel that all these variations on the formula type are very interesting in themselves, but probably not significant enough mathematically to argue about claiming ownership and creation rights, unless that particular formula becomes significant in it's own right, by lending insight into some significant scientific phenomena, or resolve some greater mathematical problem, or by use in a widely accepted application. I'm sure we all feel our own fractals are marvelous and worthy of great attention, but our egos will have to wait for mathematical history to catch up, before we wear the crown of glory we all so justly deserve. Good luck on the search if you choose to take it on. I'm trying to hold back my curiosity as to why you personally care one way or the other. According to his Web Page, Rudy Rucker presented that work in 1990 in a lecture at Stanford. I'm really too busy these days with work and family to even pursue my own fractal interests, so I'm less than keen on continuing debating the relevance and or the significance or the geneology of this. If it turns out to be hugely important than I will humbly appologize when you say, "I told you so!" Good Luck, Noel Giffin