You are looking through a small hole at a corner of a standard six-sided playing die, as shown above. (The picture is showing that there are spots in the corners that you see. It does not imply absence of any other spots.)

Determine at least one of the faces of the die that you are seeing.

In standard dice, the pip total on opposite faces totals seven.
Depending upon the diagonal pip arrangement of the 3 and 2 of the European-style dice, the combinations of die faces which all three have a pip in the same corner are:

1. (2,3,6), (4,5,6);
2. (2,4,6), (4,5,6);
3. (3,5,6), (4,5,6); or,
4. (2,4,6), (3,5,6) and (4,5,6)

In each case, the 6 is on one of the faces.
(The ace, i.e., the die face with single pip, has its pip in the face center. Thus, in order for the corner of each have a pip, one of the three faces must be the 6, the face opposite the 1.)

Posted by Dej Mar on 2008-09-07 13:31:10