The big box is set up to contain an image...
<div id="bigBox"> <img> </div>
The elements beneath are inside an UL list...
<u id="theList">
<li> <a href="pic1.jpg"> picture 1 </a> </li>
<li> <a href="pic2.jpg"> picture 2 </a> </li>
<li> <a href="pic3.jpg"> picture 3 </a> </li>
</ul>
The code...
var x = parseInt(new Date() / 86400000, 10);
x is the number of days since January 1st 1970. This number will increase by 1 each day. Now you can use this value to define which image is shown:
var $links = $("#theList").find("a");
var link = $links.eq(x % $links.length).get(0);
$("#bigBox").children("img").attr({
src: link.href,
title: link.title
});