Judge Steven O'Neill, who was forced to declare a mistrial on June 17 when the 12-member panel failed to reach a unanimous verdict, made the announcement in a written order yesterday from Norristown, just outside Philadelphia.
O'Neill ordered lawyers for both sides to submit any proposed jury selection questions and instructions no later than October 30.
The first panel, which was selected in Pittsburgh, spent 52 hours deliberating, working late into the night before failing to reach a unanimous verdict on three counts of aggravated indecent assault.
Another juror told WPXI that the panel was hopelessly deadlocked from the beginning and that votes were split seven to five during most deliberations, without specifying which side had the majority.
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The mistrial was a victory of sorts for the pioneering black comedian, now frail and isolated, who risked spending the rest of his life in prison if convicted.
The trial irrevocably damaged the once-towering figure in US popular culture, loved by millions as "America's Dad" and best known for his seminal role as a father and obstetrician on hit 1984-92 TV series "The Cosby Show."
Around 60 women have publicly accused the Emmy-winning actor in recent years of being a serial sexual predator, alleging that he drugged and assaulted them over a span of 40 years across the United States.
But Constand's allegations were the only criminal case brought against him as most of the alleged abuse happened too long ago to prosecute.