Hi James,

perhaps I should clarify one more thing: For hanging nodes the number and 
position of neighbors at a given face of a cell is the relevant thing: If there 
is none, then we are at the boundary and do not have hanging nodes, if there is 
one neigbor then everything is implemented (and only important in the hp-case). 
If there are four (in 3D), then locally the refinement is isotropic and this is 
also implemented. We only face a new situation if the number of neighbors is 
two or three, these cases are not implemented.
If you use your aspect ratio algorithm on a hyper-rectangle, all cells are 
split in the same way and you end up with a mesh where each cell has one 
neighbor at each face (except for the boundary , of course). Thus this case 
works. On a general mesh like the one you created externally, however, 
neighbors will be refined differently and thus you will end up with the cases 
that are not implemented.

Best,
Tobias 
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