A 4x4x4 solid can be filled with four copies of a hexacube and five copies
of a octacube. Here we restrict the hexacube to be a solid hexomino and the
octacube to be a solid octomino.
Below is a catalog of the hexomino/octomino pairs for which solutions exist.
The catalog links to solution drawings whenever there are three or fewer
solutions. For example, to see the two solutions for
four U-hexacubes and five 8fr-octacubes,
click the solution drawings link. In the bottom
half of the linked window you will see a frame for each solution. Within the
frame you can click on the next (or previous) link to add (or remove) a piece
from the drawing.
1: 4 P-hexacubes, 5 8ep-octacubes
1 solution
4× 
5× 
solution drawings
2: 4 P-hexacubes, 5 8es-octacubes
1 solution
4×
5× 
solution drawings
3: 4 Short N-hexacubes, 5 8en-octacubes
1 solution
4× 
5× 
solution drawings
4: 4 V-hexacubes, 5 8fk-octacubes
1 solution
4× 
5× 
solution drawings
5: 4 V-hexacubes, 5 8gg-octacubes
1 solution
4×
5× 
solution drawings
6: 4 J-hexacubes, 5 8gu-octacubes
2 solutions
4× 
5× 
solution drawings
7: 4 J-hexacubes, 5 8gv-octacubes
2 solutions
4×
5× 
solution drawings
8: 4 U-hexacubes, 5 8fr-octacubes
2 solutions
4× 
5× 
solution drawings
9: 4 O-hexacubes, 5 8er-octacubes
4 solutions
4× 
5× 
10: 4 Q-hexacubes, 5 8gw-octacubes
4 solutions
4× 
5× 
11: 4 Q-hexacubes, 5 8hy-octacubes
4 solutions
4×
5× 
12: 4 M-hexacubes, 5 8ed-octacubes
5 solutions
4× 
5× 
13: 4 Hi4-hexacubes, 5 8ed-octacubes
6 solutions
4× 
5×
14: 4 A-hexacubes, 5 8ed-octacubes
many solutions
4× 
5×
15: 4 C-hexacubes, 5 8ed-octacubes
many solutions
4× 
5×
16: 4 C-hexacubes, 5 8er-octacubes
many solutions
4×
5×
17: 4 D-hexacubes, 5 8ed-octacubes
many solutions
4× 
5×
18: 4 E-hexacubes, 5 8fk-octacubes
many solutions
4× 
5×
19: 4 J-hexacubes, 5 8ed-octacubes
many solutions
4×
5×
20: 4 O-hexacubes, 5 8ed-octacubes
many solutions
4×
5×
21: 4 O-hexacubes, 5 8en-octacubes
many solutions
4×
5×
22: 4 O-hexacubes, 5 8fk-octacubes
many solutions
4×
5×
23: 4 O-hexacubes, 5 8gu-octacubes
many solutions
4×
5×
24: 4 O-hexacubes, 5 8gv-octacubes
many solutions
4×
5×
25: 4 P-hexacubes, 5 8ed-octacubes
many solutions
4×
5×
26: 4 P-hexacubes, 5 8gu-octacubes
many solutions
4×
5×
27: 4 P-hexacubes, 5 8gv-octacubes
many solutions
4×
5×
28: 4 P-hexacubes, 5 8ld-octacubes
many solutions
4×
5× 
29: 4 Q-hexacubes, 5 8ed-octacubes
many solutions
4×
5×
30: 4 Q-hexacubes, 5 8fk-octacubes
many solutions
4×
5×
31: 4 R-hexacubes, 5 8ed-octacubes
many solutions
4× 
5×
32: 4 R-hexacubes, 5 8fk-octacubes
many solutions
4×
5×
33: 4 Short T-hexacubes, 5 8ed-octacubes
many solutions
4× 
5×
34: 4 Short Z-hexacubes, 5 8ed-octacubes
many solutions
4× 
5×
35: 4 U-hexacubes, 5 8ed-octacubes
many solutions
4×
5×
36: 4 U-hexacubes, 5 8gv-octacubes
many solutions
4×
5×
37: 4 V-hexacubes, 5 8ed-octacubes
many solutions
4×
5×