A 3x3x3 solid can be filled with three copies of a tetracube and three copies
of a pentacube.
Below is a catalog of the tetracube/pentacubes 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
three L-tetracubes and three U-pentacubes,
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 L-tetracubes, 3 Z-pentacubes
1 solution
3×
3×
solution drawings
2: 3 T-tetracubes, 3 P-pentacubes
1 solution
3×
3×
solution drawings
3: 3 branch-tetracubes, 3 W-pentacubes
1 solution
3×
3×
solution drawings
4: 3 L-tetracubes, 3 U-pentacubes
2 solutions
3×
3×
solution drawings
5: 3 L-tetracubes, 3 L2-pentacubes
2 solutions
3×
3×
solution drawings
6: 3 L-tetracubes, 3 N2-pentacubes
2 solutions
3×
3×
solution drawings
7: 3 branch-tetracubes, 3 L2-pentacubes
2 solutions
3×
3×
solution drawings
8: 3 branch-tetracubes, 3 L4-pentacubes
2 solutions
3×
3×
solution drawings
9: 3 L-tetracubes, 3 N1-pentacubes
3 solutions
3×
3×
solution drawings
10: 3 left screw-tetracubes, 3 P-pentacubes
4 solutions
3×
3×
11: 3 branch-tetracubes, 3 P-pentacubes
5 solutions
3×
3×
12: 3 L-tetracubes, 3 A-pentacubes
6 solutions
3×
3×
13: 3 square-tetracubes, 3 V-pentacubes
many solutions
3×
3×
14: 3 L-tetracubes, 3 P-pentacubes
many solutions
3×
3×
15: 3 L-tetracubes, 3 Q-pentacubes
many solutions
3×
3×
16: 3 L-tetracubes, 3 L4-pentacubes
many solutions
3×
3×
17: 3 T-tetracubes, 3 U-pentacubes
many solutions
3×
3×