Adding to a test page causes the icons in the footer to display in reverse order. The icons on all the other pages of the site display in correct order. The page source page shows the icons displaying in correct order! The page is, of course, a test page, that users will presumably never see. Thus this "problem" is of nothing more than academic interest. But it intrigues me.
Brings an entire page, complete with its own DOCTYPE, head, body, etc. It even has it's own stylesheet in its head. In it all images are floated right. That's probably what is causing it.
BTW, it's not wise to link to a page that displays your PHP Info in a public forum. A would be hacker can get a treasure trove of information from it. So I've removed the links to it from your post.
Thank you for your answer, and thank you for your prophylactic adjustment.