‘Jack & the Beanstalk’

All kinds of greenery are sprouting at this time of year, and onstage that  includes more than one beanstalk. While the Swedish Cottage Marionette Theater is doing its production in Manhattan, Puppetworks in Brooklyn is offering this version of the fairy tale, adapted by Nicolas Coppola, the company’s artistic director. It includes hand-carved marionettes, a score based on old British folk melodies, a black-light sequence with dancing beans and another giant of appropriate scale: an adult actor.