I was inspired to draw this toon by something posted on Answers regarding the issue of what exactly are derived hexagrams (the hexagrams obtained by converting moving lines in an hexagram that contains them) and how they apply to a question asked to the I Ching. I'm not sure anybody has a "correct" answer for that issue but I thought of getting an "answer" from the horse's mouth: the Yi itself. As should be known, the I Ching would reply to a rock if the rock could vocalize a question, divide yarrow stalks or toss three coins a few times so, what the heck, I'm a little stiff already and the Yi won't mind me asking... Yi's answer are the hexagrams depicted in the toon and I think it is as appropriate as any.
As for the issue at hand, what's been written by Hilary borrows some ideas from Stephen Karcher in that she's sees them as "Relating Hexagrams":
The relating hexagram describes your personal relationship to the situation or the question. It might be a hope of yours, or an attitude, or a lens you see through. You could say that this is what the reading is about, for you.
In a comment to the post, Steve Marshall as a dissenting opinion:
The idea of ‘relating’ hexagram seems quite meaningless to me. Just another veneer of lame interpretation, trying to squeeze extra meaning out of a reading that, frankly, probably has no meaning at all, is just a random effect as a result of asking when it would have been better not to ask.
That the Yi gave me this answer, 57 with moving lines in 1 and 2 to derive to 37, is kind of funny because it seems, at least to me, to pick from both opinions...