“Symmetrical” could mean several things. Maybe a single name that is a palindrome, like if you owned elpmaxe.www.example. Maybe a pair of names that have reversed components, like if you owned example.institute and institute.example. Or maybe URLs that can be cut in half and flipped 180°, like this one. (Supported symmetries are listed on the site.)
I have a few ideas for the future too, like: - accepting submissions over DNS instead of HTTP - A game, inspired by https://ipv4.games/ - A webring so that members can find each other
It is, right now, a lonely club: only my domain names are in it. It would be cool to have some more members, especially if you have ideas that fit the theme. All you need is control of a DNS zone!