O Ouroboros is represented by the serpent biting its own tail, and is a symbol that goes back several ages, crossing cultures from the Aztecs to the alchemists of Europe.
In tattoos it has several meanings As a creature that is eating itself, it symbolizes the natural cycle of the universe: creation and destruction, life and death.
Alternatively it could be that it is eating itself to sustain its own life, which in this case symbolizes an eternal cycle of renewal. This second meaning is an echo of the concept of InfiniteIt is a universe of endless cycles, and an infinite or limitless universe.