Abstract: An escalator has steps shaped (1) to negotiate curves. The steps are suitably linked (4)(5)(6), guided (3)(10)(11), contained and powered so that the escalator can rise, fall, follow a horizontal path, be straight or curved in any predetermined sequence within the design parameters. The steps remain usable in both the flow and return paths. Shields are fitted to guard against entrapment of shoes or other apparel between the moving and stationary parts. For boarding or alighting safely, straight horizontal lengths may be included with appropriate means for passengers crossing from or to a stationary floor.