Sunday: My hotel was conveniently close to the Paseo de la Reforma, a two-mile boulevard dotted with statues and very friendly to cyclists, so I walked there and then up to the cathedral and other buildings on the Zocalo (central square). It's non-stop mass on Sundays but you can go inside and look around without joining in. Outside there are people selling things and native people dancing for tourists. Then on to the Templo Mayor, and then the Diego Rivera murals at the National Palace. Chocolate and churros for lunch before heading all the way down the Paseo de la Reforma to visit the anthropological museum in Chapultepec Park. Drink 1.5 litres of hibiscus-flavored water (not as good as it sounds, but how could it be?) on the way back to the hotel. Dinner at the surprisingly not bad chain restaurant Vips.
Tuesday: Bus trip to Teotihuacan (should have gone by public transport and walked to the murals at Tepantitla). Arrived not long after the place opened, but even later in the day it was not very crowded. Spent the morning looking around and climbing pyramids, then off to taste tequila (followed by too much time in a gift shop) and eat lunch. Back in the city I visit the murals in the Palacio de Bellas Artes and have dinner at the old world-seeming Restaurante Danubio, whose walls are covered with framed cartoons and messages from, presumably, happy customers.