Missing the RimsWe can catch some rims if we start with {$(1,0,0)$} instead of {$(1,1,1)$} but then we miss the axles. If we start with {$(1,1,-1)$}, we get all axles and some rims, we think. If we start with {$(1,1,-3)$}, we get all axles and all the rims! (We think). This hasn't been explored. It looks like fun. But it also doesn't matter for the analysis because we are looking exclusively at infinite generalized continued fractions. For these, the starting point is actually irrelevant. |