Three world premieres will comprise the upcoming season for Chicago’s Lookingglass Theater. Two of the plays are based on ancient myths and one — co-written and directed by David Schwimmer — takes on the potential perils of the digital world.Playwright J. Nicole Brooks (“Black Diamond”) sets the much-adapted Phaedre story in the Caribbean with “Fedre: Queen of Haiti.” Show, to be helmed by Laura Eason, will run Oct. 11-Nov. 15. Lookingglass a.d. David Catlin will direct his own take on “Icarus,” the story of the son who tries out his father’s wings but flies too close to the sun and crashes. Originally commissioned by the J. Paul Getty Museum in Los Angeles, show is described as combining myth with scientific theory, song and gravity-defying choreography. “Icarus” will play Dec. 13-Jan. 24. Schwimmer, a longtime ensemble member of Lookingglass and currently featured in the company’s production of “Our Town,” will direct “Trust,” written by Schwimmer and Andy Bellin. Script explores familial responsibility in the age of texting and Tweeting. Show runs March 14-May 9, 2010.