Rubik's Clock is a puzzle consisting of 18 small clocks, 14 of which are independent, each of which may be set to any 12-hour position. There are therefore possible configurations in total. The God's
number (i.e., the graph diameter of the graph
corresponding to Rubik's Clock, which is the minimum number of moves required to
solve it from an arbitrary starting position-i.e., in the worst case) was shown by
Kogler to be 12 (Kogler 2014; cube20.org).
The numbers of positions from which the clock can be solved in , 1, ... moves are 1, 330, 51651, 4947912, 317141342, 14054473232,
428862722294, 8621633953202, 101600180118726, 528107928328516, 613251601892918, and
31893880879492, 39248 (A256586; cube20.org),
which sum to
as they must.
possible configurations in total. The God's
number (i.e., the graph diameter of the graph
corresponding to Rubik's Clock, which is the minimum number of moves required to
solve it from an arbitrary starting position-i.e., in the worst case) was shown by
Kogler to be 12 (Kogler 2014; cube20.org).
, 1, ... moves are 1, 330, 51651, 4947912, 317141342, 14054473232,
428862722294, 8621633953202, 101600180118726, 528107928328516, 613251601892918, and
31893880879492, 39248 (A256586; cube20.org),
which sum to 
as they must.
