ODougbo, you have an EXTREMELY creative mind. Love it. You've got me thinking!
You are now doing what mathematicians who hung on to get to the interesting stuff call
Conformal Mapping.
This is a hugely powerful continuous transformation that preserves right angles, and converts spheres into planes and such. This skillful painting in Ryde (IOW) High Street gives a glimpse:
[IMGDEAD]http://img708.imageshack.us/img708/7830/orrerycaferyde.jpg[/IMGDEAD]
Physicists use it to transform one problem into another, and use the same maths. This is Professor Leo Susskind using it to derive some results in "String Theory", mapping circles to rectangles:
[IMGDEAD]http://img153.imageshack.us/img153/2184/conformalmappinglog.jpg[/IMGDEAD]
It's probably my familiarity with Conformal Mapping that allows me to understand this bit of beautiful Steen Duelund thinking about loudspeakers and rooms:
[IMGDEAD]http://img38.imageshack.us/img38/4083/steenduelunddiagram.jpg[/IMGDEAD]
Back to your thoughts about spheres. I've just been pondering how your spherical speakers might work, in a spherical room, of course! Hope I don't get TOO obsessed by this, but I think it leads somewhere and Conformal Mapping gives you a handle on it.
