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The essay is dedicated to the development of the cross-in-square plan (quincunx) in 9th century architecture and to the relationships between the Byzantine empire and the West. The elaboration of the model presents different variants which prove the vitality of the research carried out by architects during the period. Following a historical path, the examples certified in the West are examined: Santa Maria delle Cinque Torri in Cassino, S. Miquel at Terrassa in Cataluña, the chapel of Germigny-des-Prés built by Theodulf d’Orléans and the chapel of S. Satiro commissioned by archbishop Anspert of Milan. These buildings present architectural similarities and differences and they stem from designs elaborated in Roman times. The examination of the political and diplomatic relations between the Byzantine empire and the Carolingian kings at the end of the 9th century helps to understand the dissemination of the cross-in-square plan during this period of architectural history.