A dive into tradition. Ioulida, the only town that built inland, laid out amphitheatrically on the slope. A village of old mansions and town houses, vaulted alleys, fountains, traditional architecture and urbanism and a castle which still partially preserved.
Spend some time in the neoclassical Town Hall building, a work of architect' Ernst Ziller and definitely visit the archaeological museum, which is considered one of the most important of the Cyclades. You will find remainings of the temple of god Apollo among others dated back to 530 BC.
Walk past the town hall, all the way to the monastery, above of which you can relax and enjoy a great meal on the roof of the restaurant looking the imaginary view of the horizon.