==> competition/games/rubiks/rubiks.magic.s <==
The solution is in a 3x3 grid with a corner missing.

+---+---+---+          +---+---+---+---+
| 3 | 5 | 7 |          | 1 | 3 | 5 | 7 |
+---+---+---+          +---+---+---+---+
| 1 | 6 | 8 |          | 2 | 4 | 6 | 8 |
+---+---+---+          +---+---+---+---+
| 2 | 4 |              Original Shape
+---+---+
 
To get the 2x4 "standard" shape into this shape, follow this:
1.  Lie it flat in front of you (4 going across).
2.  Flip the pair (1,2) up and over on top of (3,4).
3.  Flip the ONE square (2) up and over (1).
[Note:  if step 3 won't go, start over, but flip the entire original shape
        over (exposing the back).]
4.  Flip the pair (2,4) up and over on top of (5,6).
5.  Flip the pair (1,2) up and toward you on top of (blank,4).
6.  Flip the ONE square (2) up and left on top of (1).
7.  Flip the pair (2,4) up and toward you. 
 
Your puzzle won't be completely solved, but this is how to get the shape.
Notice that 3,5,6,7,8 don't move.