I made a 99% perfectly symetrical map one side themed blue the other red. I nees name I deas. I have no xbox live so I can't post pics sorry.
Was there anything in specific that inspired the map? With the currrent description, something mirror related would seem to work since you focused on the symmetry.
If you look at Forge World, you will see maps created by bungie in which the names are generally one word (The Cage being an exception). In some cases, the name is descriptive of some type of suffering. Also be aware that the name of the portion of the canvas you use has a name. Paradiso is a map that is constructed on The Island. So you don't want to say your map is on Paradiso, and you don't want to call it The Island. Both would be incorrect or confusing.
Name it Constitution more detail would help but thats what I could come up with from what you old me.
There's actually a thread that is perfect for this. The first few pages are full of map name suggestions, and the rest is mostly requests. Here it is. Hope I could help!
"Synchronicity"? Without more meaningful info its hard to come up with something related to your map.