calendar

gardener3 · March 8th, 2006, 7:54 pm

Apologies if this has been posted before. You are asked to design a calendar with two cubes and a pen. Is it possible to write a single digit between 0 and 9 on each of the twelve sides of the cubes in such a way such that any day of any month can be displayed when you put the two cubes side by side?

benczur · March 8th, 2006, 11:31 pm

exactly two cubes side by side - impossibleat most two cubes - possible

kws · March 9th, 2006, 10:40 am

Draw the numbers such that you can tell the difference between them when they're rotated (slash through the zero, 6 and upside down 9 different, etc.). That's 24^2, which is more than the 366 possible days.

leherbert · March 9th, 2006, 3:16 pm

{0,1,2,3,4,5}{0,1,2,7,8,9}Assuming we can flip the 6 to get a 9, this numbering scheme works.