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The one in nearby Maimara enjoys more fame but the one Tilcara similarly exhibits the local tradition of dried flowers or more modern ones made of paper on each of the tombs.
The Omaguaca fortress atop the cliff. It is Tilcara's main attraction and what has made it known as the Argentinian capital of archaeology. There are good views of the multi coloured hills from the top. You can easily spend an hour or two wandering around the well preserved dwellings The entry ticket allows you a visit to the local Archaeological Museum at the main town square as well as to the Botanic Garden of Heights adjacent to the Pucara and representing local vegetation of more than 2,500 m above sea level altitude including giant cordon cacti.
Take a hike to this waterfall. 2-3 hr return. Get maps from the tourist office or use OpenStreetMap (with the OsmAnd or Mapy.cz mobile apps).