In fact, a Terni Lapilli board was recently uncovered in the British Museum which included four blue pieces and five red pieces. Judging from the number of Terni Lapilli boards found around Rome it would seem this game was more popular than Tic-Tac-Toe, and therefore we must conclude that it was not, in fact, Tic-Tac-Toe since this is not really a game and could not sustain such interest.
For the time being then, this game remains an enigma, although the possibilities are certainly very finite.

