Mapping of big cube C:
1 horizontal LR
4 back FB
16 down UD

disassembly 1
remove 0 L lLD
remove 4 D lBR
remove 2 RB lDB
3 x lFL
5 x lRU
1 x lDF

disassembly 2
remove 0 L lLD
remove 4 D lFL
remove 1 F lDB
remove 3 D lBR
2 lDF
5 lLU

A LR piece is 0ff0 0ff0 0000 0000 lxU
           or 0000 0000 0ff0 0ff0 lxD
A UD piece is 6600 6600 6600 6600 lxF
           or 0066 0066 0066 0066 lxB
A FB piece is 0000 cccc cccc 0000 lxL
           or 0000 3333 3333 0000 lxR

0s:           9009 0000 0000 9009
1s:           6996 9009 9009 6996
2s:           0660 6996 6996 0660
3s:           0000 0660 0660 0000