This week, we bridge the gap between Alexandria and Constantinople with Isidorus of Miletus, a mathematician and architect who preferred teaching to writing. We look into how he and his partner, Anthemius of Tralles, were commissioned to build the legendary Hagia Sophia in a mere five years, after a sports riot burned down half the city. Discover the architectural genius behind its "floating" dome, a marvel of pendentives that has stood for centuries. Then, we follow the extraordinary journey of a lost text by Archimedes, which Isidorus himself studied. From a library in Constantinople to a 10th-century copy in Jerusalem, this priceless work was scraped clean by a monk for a prayer book, painted over by an art forger, and finally sold at auction for millions. Uncover the cutting-edge science that resurrected the hidden text, revealing Archimedes' work in combinatorics—the Stomachion puzzle. It’s a tale of genius, destruction, and incredible rediscovery, proving that sometimes the most interesting things are hiding in the most boring places. Hashtags:#HistoryOfMathematics #IsidorusOfMiletus #HagiaSophia #ByzantineArchitecture #Archimedes #Palimpsest #AncientHistory #MathsPodcast #STEM #Constantinople #HistoryPodcast #Architecture Keywords:Isidorus of Miletus, Hagia Sophia, Anthemius of Tralles, Byzantine, Constantinople, Archimedes Palimpsest, The Method, Stomachion, Procopius, Justinian, Nika Riots, Pendentive Dome, History of Science, Combinatorics, Eutocius of Ascalon.