This has been done by others, and I don't even own a Tormek. However it was a good exercise to derive the formulas myself and I'd like to share the results that I find pleasing: the formula for the gap (green line), which does not use x or y, and the formula for y given x.
gap =![](https://i.imgur.com/u36Hgwn.png)
y =![](https://i.imgur.com/jImpsu8.png)
gap =
![](https://i.imgur.com/u36Hgwn.png)
y =
![](https://i.imgur.com/jImpsu8.png)
![](https://i.imgur.com/hYPl81y.png)