## Cube Calendar

I have made a desk calendar out of six blocks. Each block has six faces. When read from left to right, they tell:
• The current day of the week on one block, in one or two letters (M, Tu, W, Th, F, Sa, Su).
• The date of the month on two blocks, one digit per block.
• The abbreviation for the month on three blocks, one lower-case letter per block (jan, feb, mar, apr, may, jun, jul, aug, sep, oct, nov, dec).
What are the symbols (letter or number) on each face of each block?

Extra: What are the symbols if the month is shown in upper-case?

Source: Internet newsgroup rec.puzzles, with original additions. Used as Ken's POTD 2/17/94.

Solution:
Obviously, there are not enough sides to support all the letters and numbers, but since this is a physical problem, we can rotate or invert the blocks and get a new letter or number. Several people figured this out. Some of their solutions are shown below. I hope someone might enjoy making a set of these for themselves!

 ```1st Cube: M(W), Tu, Th, F, Sa, Su 2nd Cube: 0,1,2,3,7,8 3rd Cube: 0,1,2,4,5,6(9) 4th Cube: j,g,p(d),m,f,o 5Th Cube: a,n(u),b,c,s,v 6th Cube: n(u),l,r,y,e,t ``` Ed Wirtz ```Weekday cube: M/W Tu Th F Sa Su Date cube 1 : 0 1 2 3 4 5 Date cube 2 : 0 1 2 6/9 7 8 Month cube 1: j e y g o r Month cube 2: a f u v c s Month cube 3: n/u m b p/d t l ``` Bill Chapp ```1st Cube: M/W Tu Th F Sa Su 2nd Cube: 0 1 2 3 4 5 3rd Cube: 0 1 2 7 8 6/9 4th Cube: f g j m o p/d 5Th Cube: a e t l v u/n 6th Cube: b r s c y n/u ``` Kenny Wright ```1st Cube: M/W Tu Th F Sa Su 2nd Cube: 0 1 2 3 4 5 3rd Cube: 0 1 2 7 8 6/9 4th Cube: f g j m o p/d 5Th Cube: a b c l s u/n 6th Cube: e r v t y n/u ``` (Ken Duisenberg)

For the upper-case solution, the solutions I received either said it could not be done, or they pointed out that the characters have to be warped slightly to solve the problem. For example, from Bill Chapp:

```OK, I've got the upper-case solution, too.  We let the C rotate 90
degrees to become a U, and we allow the months JVN and JVL (OK, it's
weak, but it's all I could get to work).

Month cube 1: J  E  R  Y  G  O
Month cube 2: A  F U/V S  T  D
Month cube 3: N  B  M  P U/C L
```
I (Ken) chose to make a warped T/Y combination, instead:
```Month cube 1: J  F  M  P  V  U/C
Month cube 2: A  B  D  O  S  U
Month cube 3: E  G  L  N  R  T/Y
```

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