Salamanca is built from one stone. Villamayor sandstone turns gold, orange and pink as the sun drops, and it makes the old town look like a single carved object. The University of Salamanca, founded in 1218, is the oldest in the Hispanic world, and the city still organizes itself around it: about 30,000 students share a center of 140,000 residents. The old town has been a UNESCO World Heritage Site since 1988, and the Plaza Mayor, the two cathedrals, the plateresque university facade and the baroque Clerecía are all inside a walk of 15 minutes.
That's why three days is the right length, and why two of them stay in the city. Each sight has its own ticket and its own hours, and in winter the hours are short. The third day goes to Ávila, which has the most complete medieval walls in Spain and is an easy trip by train or bus, with no car needed.
Day one is the university quarter, the Clerecía and the Plaza Mayor, with a student night to finish. Day two is San Esteban, the cathedrals and their towers, Casa Lis and the Roman bridge. Day three is Ávila. Start on a Thursday. Day three then falls on a Saturday, when the Ávila walls are open (they close on Mondays in winter), Casa Lis and San Esteban are open on the Friday, and the first evening lands on the night student bars are said to fill up. More of Spain is a good reason to come back.