Inward Tilting Icicles :: Part I; How?

You can see in the picture below the inward tilt of the icicles off the little roof over my front door. Nearby icicles hanging off the main roof are perfectly vertical. What's the physics of this phenomenon. I promise, if I knew I would say so. I have some theories, but I don't trust them. Can you explain it? Facts: the door faces south, and ambient temperatures have remained below freezing for a few days, so the melting is solar.