Eglise Saint-Severin is the Latin Quarter's own flamboyant Gothic jewel, built up between the 13th and 16th centuries above a much older site, and it hides one of the most delightful details in Paris: in the ambulatory, a single column twists upward like a palm tree, and from it the ribs of the double ambulatory fan out overhead. Look for it at the far end, then spend a moment with the 15th-century stained glass and the pale, asymmetrical interior — this is a parish church rather than a monument, entered free, and for a lover of Gothic churches the difference in mood is exactly the point. A few steps away, Saint-Julien-le-Pauvre keeps a much older, darker Romanesque calm.
The walk from there is a lesson in how medieval Paris was laid out: narrow streets named for trades — rue de la Parcheminerie, rue de la Harpe — the courtyard of the Sorbonne and its 17th-century chapel holding Richelieu's tomb, the College de France, and up the Montagne Sainte-Genevieve to the Pantheon, Soufflot's vast neoclassical temple to the nation's great dead. Below it stand the medieval hotel of Cluny and the ruins of the Roman baths, the Thermes, half swallowed by the museum that grew around them.
Finish in the Luxembourg Gardens, laid out for Marie de Medicis from 1612: the Medici fountain in its green shade, the metal chairs, the chess players, the palace where the French Senate sits. All of it is free and all of it is walkable — no tickets, no queues, which is exactly what the second half of a Sainte-Chapelle day should be.
Notes
Saint-Severin is free, with a donation box at the door, and quietest in mid-afternoon. The Latin Quarter's museums — Cluny, the Pantheon, the Luxembourg's own museum — are all interiors with timed tickets, so keep them as exteriors today and spend the money on pastries instead; this is how your one-timed-entry rule stays intact. Good pause: the market atmosphere of rue de Buci and the streets around Odeon, where pastry shops and wine bars start filling up around five.