[Prof. Templeton]

Professor Templeton has on his office desk two cubes. Everyday he arranges the two cubes to form the current day of the month. Everyday he uses both cubes to make the date. What numbers must be on each cube to allow this?

[Guest]

0-5 on one, and 6-9 on the other.

[Guest]

0-3 on one

0-9 on the other

[Yoruichi-san]

I think you mean one number on each side (I have a friend w/ a Rubik's cube with the date...it's kinda cool...)

You need 0,1,2 on both, since you can have 11, 22, and 01-09

That leaves 3 empty sides for each, and 7 numbers (3-9). But since you can flip 6 over to make 9, 6 and 9 are the same side...so...

0,1,2,3,4,5

0,1,2,6,7,8

[Guest]

Dice once:0,1,2,3,4,5

Dice two:1,2,6,7,8,9

I think...Does there need to be a zero in front of the single digit dates?

Edited September 21, 2008 by beckie-x

[Prof. Templeton]

0-5 on one, and 6-9 on the other.

Nope. You can't do those double digit dates.

0-3 on one

0-9 on the other

You only have six sides per cube, and some numbers will need to be repeated.

Dice once:0,1,2,3,4,5

Dice two:1,2,6,7,8,9

I think...Does there need to be a zero in front of the single digit dates?

Yep. Either a zero or a blank. Both cubes are used for all dates.

I think you mean one number on each side (I have a friend w/ a Rubik's cube with the date...it's kinda cool...)

You need 0,1,2 on both, since you can have 11, 22, and 01-09

That leaves 3 empty sides for each, and 7 numbers (3-9). But since you can flip 6 over to make 9, 6 and 9 are the same side...so...

0,1,2,3,4,5

0,1,2,6,7,8

Precisely. You need 13 cube faces and you only have 12, so 2 of them must share. Nice deduction.

[Guest]

I guess it is very easy unless I am missing something. You need the following digits on the cubes.

First cube: 0,1,2,3,4,5

Sec cube: 0,1,2,6,7,8

Now inverted 6 can be used as 9. All the numbers from 1 to 31 are possible.

[Prof. Templeton]

I guess it is very easy unless I am missing something. You need the following digits on the cubes.

First cube: 0,1,2,3,4,5

Sec cube: 0,1,2,6,7,8

Now inverted 6 can be used as 9. All the numbers from 1 to 31 are possible.

Yeah, it's just that simple. The key is determining what numbers are needed on the cube faces, after that figuring out what number can be left out is easy.

[Guest]

Professor Templeton has on his office desk two cubes. Everyday he arranges the two cubes to form the current day of the month. Everyday he uses both cubes to make the date. What numbers must be on each cube to allow this?

1 and 2

1 and 2

Edited November 24, 2008 by tracker