6-Color Corner Cases
| Opposite Face Arrangements |
| Case |
Split |
Color Pairs |
Opposite Face |
Solvable |
| 1 |
2-2 |
Parallel |
Aligned |
Yes |
| 2 |
2-2 |
Diagonal |
Diagonal |
Yes |
| 3 |
2-2 |
Parallel |
Perpendicular |
No |
| 4 |
3-1 |
N/A |
N/A |
No |
Case 1
A pair of opposite faces with a 2-2 split (2 corner facelets of each color on
each face) CAN be solved with half-twists if the color pairs on each face are
parallel and aligned with those on the opposite face.
Here are two examples, press Play on each to solve with half-twists:
Case 2
A pair of opposite faces with a 2-2 split CAN be solved with half-twists
if the color pairs on each face are diagonal.
Here are two examples, press Play on each to solve with half-twists:
Case 3
A pair of opposite faces with a 2-2 split CAN NOT be solved with half-twists if
the color pairs on each face are parallel but perpendicular to those on the
opposite face. The following two examples can not be solved with half-twists
only, use the mouse to try. If you do solve it then you used a quarter-twist
which would mess up the other faces if they were shown, no cheating!
Case 4
A pair of opposite faces with a 3-1 split, CAN NOT be solved with half-twists
only.
The following two examples can not be solved with half-twists only.