12 Sep
2012
12 Sep
'12
3:41 p.m.
A while ago I mentioned how to use continued fractions to design efficient calendars. If we want lunisolar calendars or eclipse cycles, we need to find an integer relation between more than two values. Instead of continued fractions, we can employ the LLL algorithm. I've used this to 're-discover' the Saros cycle, Metonic cycle and Exeligmos cycle: http://cp4space.wordpress.com/2012/09/12/lunisolar-calendars/ The Metonic cycle features in the Hebrew lunisolar calendar. All three are incorporated into the Antikythera mechanism. Sincerely, Adam P. Goucher http://cp4space.wordpress.com/