Rodney Ascher's poster for room 237 is designed to remind you of Saul Bass' design for Kubrick's The Shining. Russ Fischer at slashfilm.com notes that this is right in step with the teaser, that also mimicked the Kubrick teaser.
Fischer gives this info on the film:
Room 237 will be released on March 29 at IFC Center and Elinor Bunim Monroe Film Center in New York City, followed by a national rollout. The film will simultaneously be available on Cable VOD, iTunes and other digital outlets (Sundance Now, Amazon Streaming, XBOX and more).