Please note: This question is not soliciting medical advice - I'm purely curious about as to what might cause this condition.
Generally speaking, what diseases/conditions cause patches of body hair on your arms and legs to have the the "recently shaved effect", where it looks like it was shaved (with a razor) a few weeks ago and the hair is just starting to grow back (and is therefore prickly)?
In other words, some of the hair is normal length, and some of the hair is prickly and just barely above the skin, giving the appearance that it was shaved (or fell out) and is now regrowing.
The closest thing the Google Gods suggest is allopecia, but I don't think allopecia does this.
Update: Another way to describe the way these patches of hair looks is "broken". It looks like the hair was just broken in half and is 1/2 the size of the other areas of hair.