Quasi-Parametric Crochet Hook

My wife has a great collection of things for crafting, but very few crochet hooks. She asked me to pick up a J sized hook from the store. I countered by offering to print one for her. This is the result.

There are a number of improvements that could be made, particularly around making it parametric, but it does appear to be functional, as my wife is crocheting with it as I type this.