Request routing is the problem of choosing a function to invoke based on a HTTP request. All but the simplest web frameworks include routing, but that doesn't mean that routing isn't an interesting problem. I set out to design a request routing library that was all of: compositional; type safe; reversible, meaning clients can be constructed from a route; and a delight to use, with great error messages. Doing requires some interesting design decisions. We'll discuss FP versus OO representations, finite state machine builders (which are a lot simpler than this name implies!), using Scala 3's tuple types for greater type safety and convenience, and designing for dot-driven development. Along the way I'll discuss other routing libraries that made different decisions, to help illustrate the design space and the tradeoffs that can be made. Did I succeed? Well, you can decide. Either way, I think the journey is interesting and you should learn something you can apply to your own coding.