You guide Ida through 10 levels by moving the environment and changing perspectives to reveal new pathways. Geometry (impossible geometry, really) similar to the artwork of M.C. Escher is the main mechanic at work in Monument Valley.
If you want to replay a level after you complete it, spin the building with roman numerals left or right. There aren’t any secrets that require return trips, but many players find the sights and sounds of the game soothing and enjoy return trips to familiar areas.