Comment by jcoby
Clickspring on YouTube has a whole series into construction methods likely used with the Antikythera mechanism: https://www.youtube.com/watch?v=dRXI9KLImC4&list=PLZioPDnFPN...
And another on building a working reproduction: https://www.youtube.com/watch?v=BGHq4O-ib2U&list=PLZioPDnFPN...
Clickspring also did the Byzantine calendar in specific. Though not in nearly as much detail as the Antikythera series.