Hello everyone. I have a question related to the mathematical relationship between cm measurements and diopters, and how this manifests in real world improvements.

Out of curiosity, I plotted a simple graph with cm on the vertical axis (starting at 0 cm and increasing upwards) and diopters on the horizontal axis (starting at 0, then increasing to -1,-2, up to -8). What I found was an inverse exponential relationship (I think! Been awhile since I’ve done math in school). That is, higher diopter cm differences are much smaller than lower diopter cm differences. For example, the cm difference between -8 and -7 is only a few cm (around 3?) whereas the cm difference between -2 and -1 is like tenfold that, around 40 or 50cm! Because of this relationship, I cannot see how both the rate of diopter improvement and cm improvement can BOTH remain CONSTANT without one or the other accelerating in relationship to the other variable at some point. Which leads me to the following questions:

Does the expected rate of improvement hold constant at 1 diopter a year? If so, as one gets closer to 20/20, does the rate of diopter improvement remain constant, but the rate of cm improvement drastically accelerate?

Or is the rate of cm improvement constant, but then the rate of diopter improvement all of a suddenly accelerate as one gets lower and lower diopters?

Or, does the rate of one of these variables actually slow down as one gets closer to 20/20?? For example, do cms improve at a constant rate but the decrease in diopters all of a sudden slows down to a snail’s pace? (This scenario seems to reflect how Jake said reducing the final diopters can be the hardest - pretty sure I read that somewhere.)

Perhaps those of you that have made significant reductions from high to low myopia can chime in as I’m very curious as to what to expect. I started at near -10 about 2 years ago and am at -6.5 now. Thanks to all those who respond!