A 4x4x4 solid can be filled with three copies of a pentacube and seven copies
of a heptacube. Here we restrict the heptacube to be a solid heptomino.

Below is a catalog of the pentacube/heptomino pairs for which solutions exist.
The catalog links to solution drawings whenever there are five or fewer
solutions. For example, to see the two solutions for
three U-pentacubes and three cleaver-heptacubes,
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: 3 P-pentacubes, 7 cobra-heptacubes
**

1 solution

3×
7×

solution drawings

**
2: 3 P-pentacubes, 7 gun-heptacubes
**

1 solution

3×
7×

solution drawings

**
3: 3 S-pentacubes, 7 cleaver-heptacubes
**

1 solution

3×
7×

solution drawings

**
4: 3 W-pentacubes, 7 cleaver-heptacubes
**

1 solution

3×
7×

solution drawings

**
5: 3 L3-pentacubes, 7 notch-heptacubes
**

1 solution

3×
7×

solution drawings

**
6: 3 T2-pentacubes, 7 notch-heptacubes
**

1 solution

3×
7×

solution drawings

**
7: 3 L1-pentacubes, 7 bulldozer-heptacubes
**

1 solution

3×
7×

solution drawings

**
8: 3 L2-pentacubes, 7 bulldozer-heptacubes
**

1 solution

3×
7×

solution drawings

**
9: 3 L2-pentacubes, 7 cleaver-heptacubes
**

1 solution

3×
7×

solution drawings

**
10: 3 L4-pentacubes, 7 eff-heptacubes
**

1 solution

3×
7×

solution drawings

**
11: 3 N2-pentacubes, 7 notch-heptacubes
**

1 solution

3×
7×

solution drawings

**
12: 3 S-pentacubes, 7 notch-heptacubes
**

2 solutions

3×
7×

solution drawings

**
13: 3 U-pentacubes, 7 cleaver-heptacubes
**

2 solutions

3×
7×

solution drawings

**
14: 3 V-pentacubes, 7 notch-heptacubes
**

2 solutions

3×
7×

solution drawings

**
15: 3 Z-pentacubes, 7 cleaver-heptacubes
**

2 solutions

3×
7×

solution drawings

**
16: 3 T2-pentacubes, 7 bulldozer-heptacubes
**

2 solutions

3×
7×

solution drawings

**
17: 3 L1-pentacubes, 7 notch-heptacubes
**

2 solutions

3×
7×

solution drawings

**
18: 3 N2-pentacubes, 7 bulldozer-heptacubes
**

2 solutions

3×
7×

solution drawings

**
19: 3 T-pentacubes, 7 cleaver-heptacubes
**

3 solutions

3×
7×

solution drawings

**
20: 3 V-pentacubes, 7 cleaver-heptacubes
**

3 solutions

3×
7×

solution drawings

**
21: 3 N1-pentacubes, 7 bulldozer-heptacubes
**

3 solutions

3×
7×

solution drawings

**
22: 3 U-pentacubes, 7 notch-heptacubes
**

4 solutions

3×
7×

solution drawings

**
23: 3 Y-pentacubes, 7 bulldozer-heptacubes
**

4 solutions

3×
7×

solution drawings

**
24: 3 A-pentacubes, 7 notch-heptacubes
**

4 solutions

3×
7×

solution drawings

**
25: 3 F-pentacubes, 7 notch-heptacubes
**

5 solutions

3×
7×

solution drawings

**
26: 3 P-pentacubes, 7 jay-heptacubes
**

5 solutions

3×
7×

solution drawings

**
27: 3 L3-pentacubes, 7 bulldozer-heptacubes
**

5 solutions

3×
7×

solution drawings

**
28: 3 Y-pentacubes, 7 cleaver-heptacubes
**

6 solutions

3×
7×

**
29: 3 L4-pentacubes, 7 notch-heptacubes
**

6 solutions

3×
7×

**
30: 3 L-pentacubes, 7 gun-heptacubes
**

8 solutions

3×
7×

**
31: 3 L4-pentacubes, 7 cleaver-heptacubes
**

8 solutions

3×
7×

**
32: 3 L-pentacubes, 7 bulldozer-heptacubes
**

many solutions

3×
7×

**
33: 3 L-pentacubes, 7 cleaver-heptacubes
**

many solutions

3×
7×

**
34: 3 L-pentacubes, 7 notch-heptacubes
**

many solutions

3×
7×

**
35: 3 P-pentacubes, 7 bulldozer-heptacubes
**

many solutions

3×
7×

**
36: 3 P-pentacubes, 7 cleaver-heptacubes
**

many solutions

3×
7×

**
37: 3 P-pentacubes, 7 notch-heptacubes
**

many solutions

3×
7×

**
38: 3 S-pentacubes, 7 bulldozer-heptacubes
**

many solutions

3×
7×

**
39: 3 T-pentacubes, 7 bulldozer-heptacubes
**

many solutions

3×
7×

**
40: 3 U-pentacubes, 7 bulldozer-heptacubes
**

many solutions

3×
7×

**
41: 3 V-pentacubes, 7 bulldozer-heptacubes
**

many solutions

3×
7×

**
42: 3 Y-pentacubes, 7 notch-heptacubes
**

many solutions

3×
7×

**
43: 3 L3-pentacubes, 7 cleaver-heptacubes
**

many solutions

3×
7×

**
44: 3 Q-pentacubes, 7 bulldozer-heptacubes
**

many solutions

3×
7×

**
45: 3 Q-pentacubes, 7 cleaver-heptacubes
**

many solutions

3×
7×

**
46: 3 Q-pentacubes, 7 notch-heptacubes
**

many solutions

3×
7×

**
47: 3 L4-pentacubes, 7 bulldozer-heptacubes
**

many solutions

3×
7×