Planet CakePHP

A friend was looking at doing a simple slideshow. The requirements were very straightforward:

• No animation controls. eg: play, stop.
• Images should cross-fade.

Her instinct was to find an existing jQuery plug-in and revise it to work to her needs. That would seem simple enough but if you do a search for jQuery slideshows, you'll find that there are plenty of them and they are filled with plenty of functionality.
Using an existing plug-in wasn't very practical and hard to work with. I had even recommended a script that I, myself, had written but she quickly realized it didn't meet the requirements.
I put my thinking cap on and decided to write a script from scratch. "Under 20 lines," I exclaimed! In the end, it turned out much simpler than even I predicted.
(If you're a TL;DR kinda person, check out the demo.)
HTML and CSS
The HTML was very straightforward: a DIV with some IMGs in it.

In thinking about the CSS, I decided to just lock all the images into the same place using absolute positioning.
.fadein { position:relative; width:500px; height:332px; }.fadein img { position:absolute; left:0; top:0; }
jQuery Slideshow
Now to think about the slideshow. First, I knew that I'd want to hide all the images except the first one.
$('.fadein img:gt(0)').hide();
You have to remember that the image index starts at 0. That means that we want all images after the first one to be hidden.
Next, I need a setInterval to iterate through the images every few seconds.
setInterval(function(){ },3000);
From here, I started writing this out piece by piece to get what I wanted. I needed the first image to fade out.
$('.fadein :first-child').fadeOut()
After that, I need the next image to fade in.
.next('img').fadeIn()
Then I needed to take the first image and throw it onto the end of the stack.
.end().appendTo('.fadein')
The end() resets jQuery's internal reference back to the original selection. That way, it's the :first-child that I'm appending to the end of the .fadein element and not the next('img').
That's it?
Well, yes. That's it.
$(function(){
$('.fadein img:gt(0)').hide();
setInterval(function(){
$('.fadein :first-child').fadeOut()
.next('img').fadeIn()
.end().appendTo('.fadein');},
3000);
});
Check out the demonstration page to this this little script in action.
Is there an even simpler way to do this? (Some ideas that I haven't tried: Is specifying img in next() necessary? Could I have used eq(0) instead of :first-child to save a couple bytes?)