Alex and Ani City Center. The 14,000-square-foot outdoor ice rink is twice the size of the one at New York City's Rockefeller Plaza. The facility is open daily, late November–mid-March, and skate and helmet rentals are available. In the summer, it hosts concerts, festivals, and other events. 2 Kennedy Plaza, Providence, Rhode Island, 02903. 401/331–5544; www.alexandanicitycenter.com. $7.