Final answer:
The Byzantine Empire's architectural styles have significantly influenced Islamic architecture in Turkey, especially after the Hagia Sophia's transformation into a mosque, featuring minarets and Arabic inscriptions alongside Byzantine details, leading to a blend that inspired numerous Ottoman mosques.
Step-by-step explanation:
The Byzantine influences on Islamic architecture in Turkey are particularly evident in the transformation of the Hagia Sophia from a Christian basilica into a mosque by Sultan Mehmed II after the conquest of Constantinople in 1453. The addition of minarets and Arabic script to its already grand Byzantine architecture created a unique blend that would inspire numerous Ottoman mosques, such as those designed by the renowned architect Mimar Sinan. The Orhan Mosque in Bursa, for instance, showcases a clear Byzantine impact in its mixed brick and stone wall construction and decorative elements, drawing from the Church of the Pantobasilissa in Trilye. Throughout the region, Byzantine sacred spaces were repurposed, signifying a continuum of religious reverence across different faiths, while the interplay of Byzantine and Islamic cultural elements contributed significantly to the architectural landscape in Medieval Anatolia.