Thank you everyone for your input on this.

Just to clarify.
I don't need to find the angular positions of an existing speaker array. 
Although it would be good to check after installation.
What I wanted was find the best position for each speaker, based on a 
dodecahedron, in a room that won't be completely square. I also wanted to 
maximise usable space while keeping the angles as true as possible. Which meant 
being able to rotate the centre, and if necessary move the centre point. The 
room will have a sloping ceiling and tapered sides, it also has a large step at 
the back of the room. Sliding patio doors will be to the front and side. Being 
able move and rotate a central point would allow the best compromise.
I like the idea of of the laser pointers in a Dodecahedron Marc. It would 
probably be possible to construct one that has a few, thus allowing quick 
positioning in an ad hoc set up. I think I will use this idea for a more mobile 
set up.
The good may, may be to do a 3D model after taking measurements of the room, in 
CAD or such , and then rotate and move the shape inside. It  would allow me to 
find the best positions, and then marking them is easy. 
Checking them afterwards isn't the problem.

All the best

Steve








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