A 4x4x4 solid can be filled with six copies of a hexacube and four copies of a heptacube. Here we restrict the hexacube to be a solid hexomino and the heptacube to be a solid heptomino.

Below is a catalog of the hexomino/heptomino 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 six G-hexacubes and four donkey-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: 6 C-hexacubes, 4 bend-heptacubes
1 solution

4×
solution drawings
2: 6 C-hexacubes, 4 chair-heptacubes
1 solution

4×
solution drawings
3: 6 C-hexacubes, 4 crawl-heptacubes
1 solution

4×
solution drawings
4: 6 C-hexacubes, 4 hitchhiker-heptacubes
1 solution

4×
solution drawings
5: 6 C-hexacubes, 4 napkinholder-heptacubes
1 solution

4×
solution drawings
6: 6 C-hexacubes, 4 vice-heptacubes
1 solution

4×
solution drawings
7: 6 D-hexacubes, 4 bend-heptacubes
1 solution

4×
solution drawings
8: 6 D-hexacubes, 4 boat-heptacubes
1 solution

4×
solution drawings
9: 6 D-hexacubes, 4 chair-heptacubes
1 solution

4×
solution drawings
10: 6 D-hexacubes, 4 crawl-heptacubes
1 solution

4×
solution drawings
11: 6 D-hexacubes, 4 four-heptacubes
1 solution

4×
solution drawings
12: 6 D-hexacubes, 4 hitchhiker-heptacubes
1 solution

4×
solution drawings
13: 6 D-hexacubes, 4 napkinholder-heptacubes
1 solution

4×
solution drawings
14: 6 D-hexacubes, 4 toetouch-heptacubes
1 solution

4×
solution drawings
15: 6 G-hexacubes, 4 fork-heptacubes
1 solution

4×
solution drawings
16: 6 G-hexacubes, 4 ibeam-heptacubes
1 solution

4×
solution drawings
17: 6 G-hexacubes, 4 pi-heptacubes
1 solution

4×
solution drawings
18: 6 H-hexacubes, 4 bulldozer-heptacubes
1 solution

4×
solution drawings
19: 6 H-hexacubes, 4 cobra-heptacubes
1 solution

4×
solution drawings
20: 6 H-hexacubes, 4 eff-heptacubes
1 solution

4×
solution drawings
21: 6 H-hexacubes, 4 jay-heptacubes
1 solution

4×
solution drawings
22: 6 H-hexacubes, 4 shelf-heptacubes
1 solution

4×
solution drawings
23: 6 H-hexacubes, 4 vee-heptacubes
1 solution

4×
solution drawings
24: 6 J-hexacubes, 4 notch-heptacubes
1 solution

4×
solution drawings
25: 6 Low 4-hexacubes, 4 bulldozer-heptacubes
1 solution

4×
solution drawings
26: 6 Low 4-hexacubes, 4 cobra-heptacubes
1 solution

4×
solution drawings
27: 6 Low 4-hexacubes, 4 shelf-heptacubes
1 solution

4×
solution drawings
28: 6 Low 4-hexacubes, 4 vee-heptacubes
1 solution

4×
solution drawings
29: 6 Long T-hexacubes, 4 cleaver-heptacubes
1 solution

4×
solution drawings
30: 6 M-hexacubes, 4 bulldozer-heptacubes
1 solution

4×
solution drawings
31: 6 M-hexacubes, 4 cobra-heptacubes
1 solution

4×
solution drawings
32: 6 M-hexacubes, 4 notch-heptacubes
1 solution

4×
solution drawings
33: 6 M-hexacubes, 4 shelf-heptacubes
1 solution

4×
solution drawings
34: 6 M-hexacubes, 4 vee-heptacubes
1 solution

4×
solution drawings
35: 6 O-hexacubes, 4 gun-heptacubes
1 solution

4×
solution drawings
36: 6 P-hexacubes, 4 dipper-heptacubes
1 solution

4×
solution drawings
37: 6 P-hexacubes, 4 eagle-heptacubes
1 solution

4×
solution drawings
38: 6 P-hexacubes, 4 falcon-heptacubes
1 solution

4×
solution drawings
39: 6 P-hexacubes, 4 fork-heptacubes
1 solution

4×
solution drawings
40: 6 P-hexacubes, 4 hummingbird-heptacubes
1 solution

4×
solution drawings
41: 6 P-hexacubes, 4 spoonbill-heptacubes
1 solution

4×
solution drawings
42: 6 P-hexacubes, 4 stringtie-heptacubes
1 solution

4×
solution drawings
43: 6 P-hexacubes, 4 turkey-heptacubes
1 solution

4×
solution drawings
44: 6 Q-hexacubes, 4 hanger-heptacubes
1 solution

4×
solution drawings
45: 6 Q-hexacubes, 4 why-heptacubes
1 solution

4×
solution drawings
46: 6 R-hexacubes, 4 cobra-heptacubes
1 solution

4×
solution drawings
47: 6 R-hexacubes, 4 napkinholder-heptacubes
1 solution

4×
solution drawings
48: 6 R-hexacubes, 4 opener-heptacubes
1 solution

4×
solution drawings
49: 6 R-hexacubes, 4 shelf-heptacubes
1 solution

4×
solution drawings
50: 6 R-hexacubes, 4 vee-heptacubes
1 solution

4×
solution drawings
51: 6 Short N-hexacubes, 4 allosaurus-heptacubes
1 solution

4×
solution drawings
52: 6 Short N-hexacubes, 4 astronaut-heptacubes
1 solution

4×
solution drawings
53: 6 Short N-hexacubes, 4 donkey-heptacubes
1 solution

4×
solution drawings
54: 6 Short N-hexacubes, 4 falcon-heptacubes
1 solution

4×
solution drawings
55: 6 Short N-hexacubes, 4 hummingbird-heptacubes
1 solution

4×
solution drawings
56: 6 Short N-hexacubes, 4 ibeam-heptacubes
1 solution

4×
solution drawings
57: 6 Short N-hexacubes, 4 pi-heptacubes
1 solution

4×
solution drawings
58: 6 Short N-hexacubes, 4 rex-heptacubes
1 solution

4×
solution drawings
59: 6 Short N-hexacubes, 4 scoop-heptacubes
1 solution

4×
solution drawings
60: 6 Short N-hexacubes, 4 wrench-heptacubes
1 solution

4×
solution drawings
61: 6 Short Z-hexacubes, 4 bulldozer-heptacubes
1 solution

4×
solution drawings
62: 6 Short Z-hexacubes, 4 cobra-heptacubes
1 solution

4×
solution drawings
63: 6 Short Z-hexacubes, 4 notch-heptacubes
1 solution

4×
solution drawings
64: 6 Short Z-hexacubes, 4 shelf-heptacubes
1 solution

4×
solution drawings
65: 6 Short Z-hexacubes, 4 vee-heptacubes
1 solution

4×
solution drawings
66: 6 U-hexacubes, 4 dipper-heptacubes
1 solution

4×
solution drawings
67: 6 U-hexacubes, 4 eagle-heptacubes
1 solution

4×
solution drawings
68: 6 U-hexacubes, 4 falcon-heptacubes
1 solution

4×
solution drawings
69: 6 U-hexacubes, 4 hummingbird-heptacubes
1 solution

4×
solution drawings
70: 6 U-hexacubes, 4 que-heptacubes
1 solution

4×
solution drawings
71: 6 U-hexacubes, 4 spoonbill-heptacubes
1 solution

4×
solution drawings
72: 6 U-hexacubes, 4 stringtie-heptacubes
1 solution

4×
solution drawings
73: 6 U-hexacubes, 4 turkey-heptacubes
1 solution

4×
solution drawings
74: 6 C-hexacubes, 4 cleaver-heptacubes
2 solutions

4×
solution drawings
75: 6 G-hexacubes, 4 centaur-heptacubes
2 solutions

4×
solution drawings
76: 6 G-hexacubes, 4 donkey-heptacubes
2 solutions

4×
solution drawings
77: 6 G-hexacubes, 4 kisstheground-heptacubes
2 solutions

4×
solution drawings
78: 6 O-hexacubes, 4 centaur-heptacubes
2 solutions

4×
solution drawings
79: 6 P-hexacubes, 4 bend-heptacubes
2 solutions

4×
solution drawings
80: 6 P-hexacubes, 4 fastpitch-heptacubes
2 solutions

4×
solution drawings
81: 6 P-hexacubes, 4 toetouch-heptacubes
2 solutions

4×
solution drawings
82: 6 P-hexacubes, 4 why-heptacubes
2 solutions

4×
solution drawings
83: 6 R-hexacubes, 4 four-heptacubes
2 solutions

4×
solution drawings
84: 6 R-hexacubes, 4 notch-heptacubes
2 solutions

4×
solution drawings
85: 6 Short N-hexacubes, 4 bend-heptacubes
2 solutions

4×
solution drawings
86: 6 Short N-hexacubes, 4 toetouch-heptacubes
2 solutions

4×
solution drawings
87: 6 U-hexacubes, 4 bend-heptacubes
2 solutions

4×
solution drawings
88: 6 U-hexacubes, 4 fastpitch-heptacubes
2 solutions

4×
solution drawings
89: 6 U-hexacubes, 4 fork-heptacubes
2 solutions

4×
solution drawings
90: 6 U-hexacubes, 4 toetouch-heptacubes
2 solutions

4×
solution drawings
91: 6 V-hexacubes, 4 toucan-heptacubes
2 solutions

4×
solution drawings
92: 6 A-hexacubes, 4 factory-heptacubes
3 solutions

4×
solution drawings
93: 6 A-hexacubes, 4 gun-heptacubes
3 solutions

4×
solution drawings
94: 6 A-hexacubes, 4 jay-heptacubes
3 solutions

4×
solution drawings
95: 6 D-hexacubes, 4 vice-heptacubes
3 solutions

4×
solution drawings
96: 6 P-hexacubes, 4 kneel-heptacubes
3 solutions

4×
solution drawings
97: 6 Q-hexacubes, 4 notch-heptacubes
3 solutions

4×
solution drawings
98: 6 R-hexacubes, 4 eff-heptacubes
3 solutions

4×
solution drawings
99: 6 R-hexacubes, 4 gun-heptacubes
3 solutions

4×
solution drawings
100: 6 Short N-hexacubes, 4 pinwheel-heptacubes
3 solutions

4×
solution drawings
101: 6 U-hexacubes, 4 heart-heptacubes
3 solutions

4×
solution drawings
102: 6 U-hexacubes, 4 toucan-heptacubes
3 solutions

4×
solution drawings
103: 6 A-hexacubes, 4 bulldozer-heptacubes
many solutions

4×
104: 6 A-hexacubes, 4 cleaver-heptacubes
many solutions

4×
105: 6 A-hexacubes, 4 cobra-heptacubes
many solutions

4×
106: 6 A-hexacubes, 4 shelf-heptacubes
many solutions

4×
107: 6 A-hexacubes, 4 vee-heptacubes
many solutions

4×
108: 6 C-hexacubes, 4 eff-heptacubes
many solutions

4×
109: 6 C-hexacubes, 4 gun-heptacubes
many solutions

4×
110: 6 C-hexacubes, 4 jay-heptacubes
many solutions

4×
111: 6 C-hexacubes, 4 notch-heptacubes
many solutions

4×
112: 6 D-hexacubes, 4 bulldozer-heptacubes
many solutions

4×
113: 6 D-hexacubes, 4 cleaver-heptacubes
many solutions

4×
114: 6 D-hexacubes, 4 eff-heptacubes
many solutions

4×
115: 6 D-hexacubes, 4 gun-heptacubes
many solutions

4×
116: 6 D-hexacubes, 4 jay-heptacubes
many solutions

4×
117: 6 D-hexacubes, 4 notch-heptacubes
many solutions

4×
118: 6 G-hexacubes, 4 dove-heptacubes
many solutions

4×
119: 6 G-hexacubes, 4 spatula-heptacubes
many solutions

4×
120: 6 G-hexacubes, 4 why-heptacubes
many solutions

4×
121: 6 J-hexacubes, 4 bulldozer-heptacubes
many solutions

4×
122: 6 J-hexacubes, 4 cleaver-heptacubes
many solutions

4×
123: 6 J-hexacubes, 4 cobra-heptacubes
many solutions

4×
124: 6 J-hexacubes, 4 factory-heptacubes
many solutions

4×
125: 6 J-hexacubes, 4 four-heptacubes
many solutions

4×
126: 6 J-hexacubes, 4 hitchhiker-heptacubes
many solutions

4×
127: 6 J-hexacubes, 4 jay-heptacubes
many solutions

4×
128: 6 J-hexacubes, 4 shelf-heptacubes
many solutions

4×
129: 6 J-hexacubes, 4 vee-heptacubes
many solutions

4×
130: 6 M-hexacubes, 4 cleaver-heptacubes
many solutions

4×
131: 6 O-hexacubes, 4 bulldozer-heptacubes
many solutions

4×
132: 6 O-hexacubes, 4 cleaver-heptacubes
many solutions

4×
133: 6 O-hexacubes, 4 cobra-heptacubes
many solutions

4×
134: 6 O-hexacubes, 4 hitchhiker-heptacubes
many solutions

4×
135: 6 O-hexacubes, 4 notch-heptacubes
many solutions

4×
136: 6 O-hexacubes, 4 shelf-heptacubes
many solutions

4×
137: 6 O-hexacubes, 4 vee-heptacubes
many solutions

4×
138: 6 P-hexacubes, 4 astronaut-heptacubes
many solutions

4×
139: 6 P-hexacubes, 4 backpack-heptacubes
many solutions

4×
140: 6 P-hexacubes, 4 binarystar-heptacubes
many solutions

4×
141: 6 P-hexacubes, 4 boat-heptacubes
many solutions

4×
142: 6 P-hexacubes, 4 bulldozer-heptacubes
many solutions

4×
143: 6 P-hexacubes, 4 cat-heptacubes
many solutions

4×
144: 6 P-hexacubes, 4 centaur-heptacubes
many solutions

4×
145: 6 P-hexacubes, 4 chair-heptacubes
many solutions

4×
146: 6 P-hexacubes, 4 cleaver-heptacubes
many solutions

4×
147: 6 P-hexacubes, 4 cobra-heptacubes
many solutions

4×
148: 6 P-hexacubes, 4 crawl-heptacubes
many solutions

4×
149: 6 P-hexacubes, 4 donkey-heptacubes
many solutions

4×
150: 6 P-hexacubes, 4 dove-heptacubes
many solutions

4×
151: 6 P-hexacubes, 4 eff-heptacubes
many solutions

4×
152: 6 P-hexacubes, 4 factory-heptacubes
many solutions

4×
153: 6 P-hexacubes, 4 four-heptacubes
many solutions

4×
154: 6 P-hexacubes, 4 gun-heptacubes
many solutions

4×
155: 6 P-hexacubes, 4 hanger-heptacubes
many solutions

4×
156: 6 P-hexacubes, 4 heart-heptacubes
many solutions

4×
157: 6 P-hexacubes, 4 hitchhiker-heptacubes
many solutions

4×
158: 6 P-hexacubes, 4 jay-heptacubes
many solutions

4×
159: 6 P-hexacubes, 4 kisstheground-heptacubes
many solutions

4×
many solutions

4×
161: 6 P-hexacubes, 4 minotaur-heptacubes
many solutions

4×
162: 6 P-hexacubes, 4 mountains-heptacubes
many solutions

4×
163: 6 P-hexacubes, 4 music-heptacubes
many solutions

4×
164: 6 P-hexacubes, 4 napkinholder-heptacubes
many solutions

4×
165: 6 P-hexacubes, 4 notch-heptacubes
many solutions

4×
166: 6 P-hexacubes, 4 opener-heptacubes
many solutions

4×
167: 6 P-hexacubes, 4 partridge-heptacubes
many solutions

4×
168: 6 P-hexacubes, 4 pi-heptacubes
many solutions

4×
169: 6 P-hexacubes, 4 pinwheel-heptacubes
many solutions

4×
170: 6 P-hexacubes, 4 pointer-heptacubes
many solutions

4×
171: 6 P-hexacubes, 4 que-heptacubes
many solutions

4×
172: 6 P-hexacubes, 4 rabbit-heptacubes
many solutions

4×
173: 6 P-hexacubes, 4 scoop-heptacubes
many solutions

4×
174: 6 P-hexacubes, 4 shelf-heptacubes
many solutions

4×
175: 6 P-hexacubes, 4 skydive-heptacubes
many solutions

4×
176: 6 P-hexacubes, 4 spatula-heptacubes
many solutions

4×
177: 6 P-hexacubes, 4 steppin-heptacubes
many solutions

4×
178: 6 P-hexacubes, 4 toucan-heptacubes
many solutions

4×
179: 6 P-hexacubes, 4 vee-heptacubes
many solutions

4×
180: 6 P-hexacubes, 4 vice-heptacubes
many solutions

4×
181: 6 P-hexacubes, 4 wrench-heptacubes
many solutions

4×
182: 6 Q-hexacubes, 4 cleaver-heptacubes
many solutions

4×
183: 6 Q-hexacubes, 4 crawl-heptacubes
many solutions

4×
184: 6 Q-hexacubes, 4 gun-heptacubes
many solutions

4×
185: 6 R-hexacubes, 4 bulldozer-heptacubes
many solutions

4×
186: 6 R-hexacubes, 4 cleaver-heptacubes
many solutions

4×
187: 6 Short N-hexacubes, 4 bulldozer-heptacubes
many solutions

4×
188: 6 Short N-hexacubes, 4 cobra-heptacubes
many solutions

4×
189: 6 Short N-hexacubes, 4 eff-heptacubes
many solutions

4×
190: 6 Short N-hexacubes, 4 gun-heptacubes
many solutions

4×
191: 6 Short N-hexacubes, 4 jay-heptacubes
many solutions

4×
192: 6 Short N-hexacubes, 4 notch-heptacubes
many solutions

4×
193: 6 Short N-hexacubes, 4 shelf-heptacubes
many solutions

4×
194: 6 Short N-hexacubes, 4 vee-heptacubes
many solutions

4×
195: 6 Short T-hexacubes, 4 bulldozer-heptacubes
many solutions

4×
196: 6 Short T-hexacubes, 4 cleaver-heptacubes
many solutions

4×
197: 6 Short T-hexacubes, 4 notch-heptacubes
many solutions

4×
198: 6 Short Z-hexacubes, 4 cleaver-heptacubes
many solutions

4×
199: 6 U-hexacubes, 4 astronaut-heptacubes
many solutions

4×
200: 6 U-hexacubes, 4 backpack-heptacubes
many solutions

4×
201: 6 U-hexacubes, 4 binarystar-heptacubes
many solutions

4×
202: 6 U-hexacubes, 4 boat-heptacubes
many solutions

4×
203: 6 U-hexacubes, 4 bulldozer-heptacubes
many solutions

4×
204: 6 U-hexacubes, 4 cat-heptacubes
many solutions

4×
205: 6 U-hexacubes, 4 centaur-heptacubes
many solutions

4×
206: 6 U-hexacubes, 4 chair-heptacubes
many solutions

4×
207: 6 U-hexacubes, 4 cleaver-heptacubes
many solutions

4×
208: 6 U-hexacubes, 4 cobra-heptacubes
many solutions

4×
209: 6 U-hexacubes, 4 crawl-heptacubes
many solutions

4×
210: 6 U-hexacubes, 4 donkey-heptacubes
many solutions

4×
211: 6 U-hexacubes, 4 dove-heptacubes
many solutions

4×
212: 6 U-hexacubes, 4 eff-heptacubes
many solutions

4×
213: 6 U-hexacubes, 4 factory-heptacubes
many solutions

4×
214: 6 U-hexacubes, 4 four-heptacubes
many solutions

4×
215: 6 U-hexacubes, 4 gun-heptacubes
many solutions

4×
216: 6 U-hexacubes, 4 hanger-heptacubes
many solutions

4×
217: 6 U-hexacubes, 4 hitchhiker-heptacubes
many solutions

4×
218: 6 U-hexacubes, 4 jay-heptacubes
many solutions

4×
219: 6 U-hexacubes, 4 kisstheground-heptacubes
many solutions

4×
220: 6 U-hexacubes, 4 kneel-heptacubes
many solutions

4×
many solutions

4×
222: 6 U-hexacubes, 4 minotaur-heptacubes
many solutions

4×
223: 6 U-hexacubes, 4 mountains-heptacubes
many solutions

4×
224: 6 U-hexacubes, 4 music-heptacubes
many solutions

4×
225: 6 U-hexacubes, 4 napkinholder-heptacubes
many solutions

4×
226: 6 U-hexacubes, 4 notch-heptacubes
many solutions

4×
227: 6 U-hexacubes, 4 opener-heptacubes
many solutions

4×
228: 6 U-hexacubes, 4 partridge-heptacubes
many solutions

4×
229: 6 U-hexacubes, 4 pinwheel-heptacubes
many solutions

4×
230: 6 U-hexacubes, 4 pointer-heptacubes
many solutions

4×
231: 6 U-hexacubes, 4 rabbit-heptacubes
many solutions

4×
232: 6 U-hexacubes, 4 scoop-heptacubes
many solutions

4×
233: 6 U-hexacubes, 4 shelf-heptacubes
many solutions

4×
234: 6 U-hexacubes, 4 skydive-heptacubes
many solutions

4×
235: 6 U-hexacubes, 4 spatula-heptacubes
many solutions

4×
236: 6 U-hexacubes, 4 steppin-heptacubes
many solutions

4×
237: 6 U-hexacubes, 4 vee-heptacubes
many solutions

4×
238: 6 U-hexacubes, 4 vice-heptacubes
many solutions

4×
239: 6 U-hexacubes, 4 why-heptacubes
many solutions

4×
240: 6 U-hexacubes, 4 wrench-heptacubes
many solutions

4×
241: 6 V-hexacubes, 4 bulldozer-heptacubes
many solutions

4×
242: 6 V-hexacubes, 4 cleaver-heptacubes
many solutions

4×
243: 6 V-hexacubes, 4 notch-heptacubes
many solutions

4×
244: 6 V-hexacubes, 4 pi-heptacubes
many solutions

4×
245: 6 V-hexacubes, 4 que-heptacubes
many solutions

4×