Roman Mail Armor vs Medieval Mail Armor: How Similar Were They?

Although the lorica segmentata is one of the most famous, if not the most famous, types of Roman armor, many soldiers also wore lorica hamata, their version of mail. Medieval soldiers also wore mail armor. So, how do the two compare?
SOURCES:
Laid out Flat: Making Mail in the Roman Period, Wijnhoven
Filling the gaps: Conservation & Reconstruction of Archaeological mail armor
The Iron Tunic from Vimose, Wijnhoven
Roman Military Equipment from the Punic Wars to the Fall of Rome, Bishop & Coulston
Medieval Military Technology, de Vries