If you want to show the world a new fractal, I think the best way is to write a js+webgl program and put it online, so people can explore it themselfes.
Yeah that wasn't actually a new fractal though, just generalised Mandelbrot with a negative non-integer exponent.. but yes some kind of interactive exploration of it would be fun I agree!
There's something I'd be much more keen to show the world (and which might render faster than negmandel!) which I call 'mandelfield', here's an old blogger post about it (yeah sorry it's blogger@): https://ultraiterator.blogspot.com/2009/10/hidden-mandelfiel...
And I think Flickr is the best way to browse my fractals at present:
https://www.flickr.com/photos/57934548@N02/
My avatar pic there is a 'mandelfield'. I think it's a really interesting phenomena!
If you want to show the world a new fractal, I think the best way is to write a js+webgl program and put it online, so people can explore it themselfes.