In April 2008, not long after Mr. Crow bought the Pin Point property, one of his private planes flew from Washington to Savannah, where his yacht, the Michaela Rose, was docked.

That same week, an item appeared in a South Carolina lawyers’ publication noting that Justice Thomas was arriving aboard the Michaela Rose in Charleston, a couple of hours north of Savannah, where the Crow family owns luxury vacation properties. The author was a prominent lawyer who said she knew of the visit because of a family connection to Mr. Crow.

Justice Thomas reported no gifts of travel that month in his 2008 disclosure. And there are other instances in which Justice Thomas’s travels correspond to flights taken by Mr. Crow’s planes.

On Jan. 4, 2010, when Justice Thomas was in Savannah for the dedication of a building in his honor, Mr. Crow’s plane flew from Washington to Savannah and returned to Washington the next day. Justice Thomas reported in his financial disclosure that his travel had been paid for by the Savannah College of Art and Design, which owned the building.

In his 2009 financial disclosure, Justice Thomas reported that Southern Methodist University in Dallas — Trammell Crow’s alma mater — had provided his travel for a speech there on Sept. 30. Flight records show that Mr. Crow’s plane flew from Washington to Dallas that day.

Among the questions The Times submitted to Justice Thomas was whether he was on any of those flights, and if so, whether the colleges reimbursed him or Mr. Crow. The colleges declined to comment.

One item not required to be reported in Justice Thomas’s financial disclosures is the millions of dollars Mr. Crow is spending on the museum. That is because the money is not being given to the justice as a gift.