Looking at the source of jQuery UI in that example it looks like the guy that runs that blog site added customization for minimize and maximize support. You can find the following comment in the code.
/*
* jQuery UI Dialog 1.8.16
* w/ Minimize & Maximize Support
* by Elijah Horton (fieryprophet@yahoo.com)
*/
You will need to add customization's for the dialog to support this or include a library that extends the jQuery UI dialog. It looks like this site has a plugin called jquery-dialogextend that will do what you are asking for.