Triei is small; its position is huge: within thirty minutes you reach legendary coves, Nuragic plateaus, seaside villages and mountains. Here is the reasoned map, by distance.
The short radius (almost on foot)
The Osono giants' tomb is the "before dinner" outing: five minutes and you are in the Bronze Age. The Mount Olinie woods give cool walks; Lotzorai, with bakery and fishmonger, solves the daily shop.
The middle radius (the typical day)
Santa Maria Navarrese for easy sea, harbour and dinners; Baunei and its viewpoint; Pedra Longa for sunset. These are the daily coordinates of I Mandorli guests: out after breakfast, back for aperitif.
The long radius (the feats)
The Golgo with Su Sterru and the donkeys, the Goloritzé descent, the big beaches of Orrì and Cea, Tortolì for market and Red Rocks. All within 40 minutes: in Ogliastra distances are a detail — the density of wonders is not.