PHILADELPHIA — Princeton received a rare locker-room visit from the university president on Tuesday night after it achieved the first perfect regular season in Ivy League women’s basketball, downing its archrival, Penn, 55-42, at the Palestra for its 30th victory.

Christopher L. Eisgruber, the Princeton president, who was among hundreds of fans who accompanied the team, wanted to make certain his student-athletes understood the magnitude of what they had accomplished, telling them this season would be remembered forever.

Princeton finds itself in the heady company of the men’s team at Kentucky (31-0) as the only Division I teams to sweep through the regular season unbeaten. The Tigers previously clinched their fifth Ivy League title in six seasons and a bid to the N.C.A.A. tournament. The Ivy League does not have a postseason tournament.

As much as Eisgruber’s visit meant, it was hard for the players to absorb everything that had happened since they opened their schedule with a 59-43 victory at Pittsburgh on Nov. 14 and defeated 16 nonconference opponents before storming through the Ivy League portion of their schedule. They entered the regular-season finale with an average margin of victory of 26.2 points against Ivy League opponents.