I want to make perfect hot cross buns by superimposing two 12-hour clock faces on top of each other. Is this possible, and if so, how many ways are there of doing so?
In other words, how many pairs of times are there which, when displayed together using the hands of two 12-hour clocks, form a perfect right-angled cross?
(For example, the legs of the cross can't be perfectly vertical and horizontal because, while
6:00 would each give two legs of that cross, the other two would then be unattainable in each case.)
Disclaimer: I don't know the answer to this question, but I imagine that solving it will be a fun Easter puzzle challenge.