A version of
Rubik's Cube in which there are 3
horizontal slices and 4
vertical slices, with the 4 vertical slices at 30 and 60
degree angles
something like this:
+---------------+
| \ / |
|\ \ / /|
| \ \ / / |
| \ \ / / |
| X |
| / / \ \ |
| / / \ \ |
|/ / \ \|
| / \ |
+---------------+
Actually now that I take a closer look at it, the
middle face has only one
slice.