The article's author, John Dubinski, has studied the galaxy collision with the help of computer modeling, and he has created many fascinating animations of interacting star systems. You can sample them by visiting Dubinski's Web site. The animations are also available on a DVD (with music by John Kameel Farah), which is how I first watched them.
Although some of the animations are purely fantasy (such as, five identical spiral galaxies form a regular pentagon and then fall into each other), there are several specifically for our Andromeda encounter. After the collision, the Sun just happens to repeatedly fly back and forth through the core of the Milky Way like a pendulum. That's probably not what the Sun will do, but it's one of the possibilities. Dubinski also created a 3-D animation that uses the standard red-and-blue glasses. It didn't work too well for me, however. But that could be partly due to the fact that I need to get new eyeglasses.