Wheel model is solved

I have got a solvable set of equations for the forward problem. Forward, in my mind, is to find displacements and spoke tension given the spoke nipple position. The reverse problem involves solving for the number of spoke turns to bring the wheel into true and equally tensioned spokes given the current measured displacements and spoke tensions. The reverse problem is the control problem. Getting the reverse problem with the forward in hand is far easier than the forward problem. The forward math problem is just about finished. I need to do a lot of checking of the results before I declare it a really finished. I had some problems getting as many independent equations as unknowns. Many of the equations I could think of were not independent. I had to test for independence numerically because it was not evident from just looking at the equation. I would have expected that the equilibrium constraints in three dimensions of force and six of torque would be independent but they are not, at least not numerically using, the rank test. It is a rainy day so I will be stuck inside. I will be working today on checking the model and doing test calculations. Perhaps some plots of results would be easy enough to load. I have given up on putting equations in the blo