"Mihrab" is the name for a niche in the wall of a mosque that indicates the direction to Mecca, but that idea doesn't seem to inherently or obviously have anything to do with spirals. There's no star named "Mirab" or anything similar.
There's a more direct Star Trek connection that seems promising. In the language of the Tamarians, "Mirab, with sails unfurled" is used as a command to depart or to set engines to full power. I'm still not sure how that relates to spirals, though. Shaka, when the walls fell.