Ørestad is the planned new city on Amager that BIG built. Three flagship Bjarke Ingels buildings sit within walking distance along the metro line — VM Houses (2005), Mountain Dwellings (2008), 8tallet (2010) — and the walk is the buildings, in order, the way you'd visit a sculpture park.
Three kilometres, ninety minutes if you walk slowly. Start at DR Byen metro (M1) — Danish Broadcasting's headquarters is the architectural overture. Walk south down Bella Centervej; the residential Ørestad opens up within minutes. VM Houses are first — the two V- and M-shaped apartment buildings with the triangle-plan that lets every flat have a unique floor.
Mountain Dwellings are next — apartments stacked over a parking garage in an artificial-mountain form, the aluminium-clad slope visible from the metro before you arrive. 8tallet is the closer: BIG's 2010 figure-8 plan with the rooftop walking path that climbs from ground to penthouse. Walk the rooftop loop; it's open to the public.
End at Ørestad station, the regional + M1 stop south of 8 House. The walk is a focused architectural tour; you can do the rest of the day on the metro in fifteen minutes.