I've been playing the Golden Spiral player level and got to the first trinket. I see that there's a spike missing in this room, but I decided I wanted to get to the trinket "legitimately". Here's a map of how far I've been able to get:
Like Doing Things the Hard Way but so much worse. I'm starting to believe that the spike is missing on purpose. At this point, though, I refuse to give up until I've at least seen how far up this path goes.