The writeup immediately previous to this one is quite accurate, with one rather nit-picky exception.

The flaming chalice was the symbol of the Unitarian faith. It was adopted by the Unitarian Universalist Association along with the double-circle symbol of the Universalist faith. The official symbol of the UUA is the flaming chalice, surrounded by two circles, each offset slightly horizontally from one another.

This has been a pet peeve of mine ever since childhood. Unitarian Universalism got a lot of their all-encompasing ideals (not to mention half of its name and two or three entries in the Purposes and Principles, the closest thing the UUA has to a creed) from Universalism, and it's just bloody frustrating when the last overt fragment of that noble religion, its symbol, gets ignored.