What was the Byzantines' most important contribution to mathematics and science?

The Byzantines preserved and transmitted ancient Greek mathematical and scientific knowledge, playing a crucial role in the continuity of these fields during the Middle Ages. They compiled and commented on works by earlier scholars, such as Euclid and Ptolemy, and their translations and adaptations helped shape the intellectual landscape of both the Islamic Golden Age and the European Renaissance. Additionally, Byzantine scholars contributed to practical applications of mathematics in fields like architecture and engineering, influencing later developments in these areas.