Which Golden Ratio??? .......Help

Whoa, you must be single, right?
You have an interesting room, so even if you do not have a wife to smack you down on this issue, control the urge to turn your room into a boring cubicle!
Find your magic formulas and apply them, but they won't work in every room for every type of furnishing, etc. The important part will be sitting down, listening, then bouncing-up again to make small changes in the speaker positions many times until you have it right. Use pieces of tape on the floor/carpet so that you can see/measure the differences as you move the speakers.

There is a link to the Rives Forum located on the home page of audioasylum.com. You might also check out Audio Asylum's FAQ section which contains additional links that should be of interest.

Hope your room turns out to be different, but the only symmetrically shaped octagon room I've spent time in (this one had plaster walls, suspended wood floors and a high domed ceiling) made a good echo chamber.

I pick the women I date according to how their proportions coincide with Mr. Fibonacci's numbers.

My last girlfriend had measurements of 55 34 55. She was quite a looker and could protect me in any situation as well.

Dean, I think those are YOUR measurements. If the graphic stuff pans out, you can go on Ultimate Fighting.

Cardas/Fibonacci ratio is fine, but recognize that the perfect room doesn't exist. The RT60 of all that makes up a "dimensionally perfect room" could make a perfect room terrible. RT60 measures reflection and absorbtion of different materials. It is the absorbtion and reflection that makes your room yours. Like dressing yourself in the morning is your taste, so too is the constructing of the room to give it its own personality.

Imagine two identical dimensional rooms:
1 has no furniture except a chair for listening $987,654 of the finest audio gear delivered to hard flooring and nothing to absorb sound other than the ceramic tile covered walls and ceiling...likely this room is live and harsh with to much reverberation
Now imagine the same dimensioned room with a comfortable sofa, plush carpet, beautiful drapes, paintings on the walls and wall treatments to absorb unwanted first reflections and diffusers behind your listening postion to help develop sound staging and imaging...likely this room will be tolerable with $1,000 worth of gear.

Bottom line dimensions can help make a room good but until it is dressed to suit your sound preferences the bazilllion dollars in gear will never stand up to expectation.