Of course whether he knew it or not, maths guided the way his mechanisms moved but Johann Bessler did not need to include it in his research because he simply used his knowledge of organ-building to devise new ways of moving the various parts. But this knowledge was not sufficient to find the solution. It required a spark of inspiration which came to him in the middle of the night - a principle upon which he based his new mental creations and which eventually led to his success. He discovered the correct premise and used it to deduce the correct conclusion.
I've had this basic principle in my own mind for more than three years now and the reason it has taken so long to produce a working version of the wheel is due to the difficulty of incorporating the requirements of this principle in a way that works. Johann Bessler reported that, following the discovery of this principle in a dream, he returned to work with renewed vigour and hope, yet it still took him many months of toil to produce the first beginnings of continuous rotation.
If I'm correct in my own belief that I do have the solution, I don't want to just give the answer away without at least building a proof of principle wheel, not because the concept needs the proof, (it's that simple!) but just for the sheer joy of being the first since Johann Bessler to demonstrate to the public how it works (unless, of course,someone else does it first!)