Also scoring in double figures for Tulsa was Larry Owens with 13, Ryan Reid with 12 and Robert Vaden with 10.
The 66ers racked up 19 assists on the offensive end, led by six helpers from Owens. Tulsa was also strong on the boards by outrebounding Maine by a 53-46 margin.
Defensively, Tulsa forced 10 Mad Ant turnovers and held the home team to 31-of-80 (.388) shooting on the night. The 66ers recorded six steals, led by two thefts each from Dyson and Reid.
Kenny Hayes, who connected on a layup with 0.9 seconds remaining in the fourth quarter to push Maine ahead, paced his squad with 17 points. Lawrence Hill added 10 rebounds.