Analysis and Copyright : 石野恵一郎 (ISHINO Keiichiro) (2003).
Pentomino 4個と Trominoと Tetrominoを重複しないように使って 3×3×3 に組む。
100,620通りの組み合わせのうち、解を持つものは 53,632通り。このうち、唯一解を持つ組み合わせは 10,934通り。(鏡像の組み合わせを除く)
このうち、すべて平面的な駒を使うのは 560通りのうち 190通りの可能な組み合わせがあり、唯一解を持つ組み合わせは 48通り。(鏡像の組み合わせを除く)
Trominoes | |||||||
---|---|---|---|---|---|---|---|
1 | 2 | ||||||
Tetrominoes | |||||||
2 | 3 | 4 | 5 | ||||
6 | 7 | 8 | |||||
Pentominoes | |||||||
4 | 5 | 6 | 7 | ||||
9 | 10 | 11 | 12 | ||||
13 | 14 | 15 | 16 | ||||
17 | 18 | 19 | 20 | ||||
21 | 22 | 23 | 24 | ||||
25 | 26 | 27 | 28 | ||||
29 |
5/4 5/5 5/7 5/10 4/2 3/1
5/5 5/6 5/9 5/11 4/2 3/1
5/6 5/7 5/10 5/12 4/1 3/1
5/4 5/5 5/6 5/10 4/3 3/1
5/4 5/5 5/10 5/11 4/3 3/1
5/4 5/6 5/10 5/11 4/3 3/1
5/4 5/7 5/10 5/11 4/3 3/1
5/5 5/6 5/9 5/11 4/3 3/1
5/4 5/5 5/6 5/11 4/4 3/1
5/4 5/5 5/6 5/12 4/4 3/1
5/4 5/5 5/7 5/9 4/4 3/1
5/4 5/5 5/7 5/11 4/4 3/1
5/4 5/5 5/9 5/10 4/4 3/1
5/4 5/5 5/7 5/10 4/5 3/1
5/4 5/5 5/9 5/10 4/5 3/1
5/4 5/6 5/9 5/10 4/5 3/1
5/4 5/9 5/10 5/11 4/5 3/1
5/5 5/6 5/9 5/11 4/5 3/1
5/5 5/7 5/9 5/10 4/5 3/1
5/5 5/7 5/9 5/11 4/5 3/1
5/6 5/7 5/10 5/11 4/5 3/1
5/6 5/9 5/10 5/11 4/5 3/1
5/5 5/6 5/10 5/12 4/2 3/2
5/5 5/10 5/11 5/12 4/2 3/2
5/6 5/7 5/10 5/11 4/2 3/2
5/4 5/5 5/7 5/12 4/3 3/2
5/4 5/6 5/7 5/9 4/3 3/2
5/4 5/7 5/9 5/11 4/3 3/2
5/5 5/6 5/7 5/11 4/3 3/2
5/5 5/6 5/9 5/11 4/3 3/2
5/5 5/7 5/9 5/10 4/3 3/2
5/5 5/7 5/10 5/11 4/3 3/2
5/5 5/9 5/10 5/11 4/3 3/2
5/5 5/10 5/11 5/12 4/3 3/2
5/6 5/9 5/10 5/11 4/3 3/2
5/7 5/9 5/10 5/11 4/3 3/2
5/4 5/5 5/9 5/10 4/4 3/2
5/4 5/6 5/7 5/9 4/4 3/2
5/4 5/7 5/9 5/11 4/4 3/2
5/5 5/6 5/7 5/9 4/4 3/2
5/5 5/6 5/7 5/11 4/4 3/2
5/5 5/6 5/10 5/12 4/4 3/2
5/5 5/9 5/10 5/11 4/4 3/2
5/4 5/7 5/9 5/10 4/5 3/2
5/5 5/6 5/7 5/9 4/5 3/2
5/5 5/6 5/7 5/11 4/5 3/2
5/5 5/6 5/9 5/11 4/5 3/2
5/6 5/7 5/9 5/11 4/5 3/2
平面的な駒のみの解の数の分布は以下のとおり。
Sols | Combi | |
---|---|---|
1 | 48 | |
2 | 36 | |
3 | 13 | |
4 | 23 | |
5 | 11 | |
6 | 10 | |
7 | 6 | |
8 | 8 | |
9 | 8 | |
10 | 3 | |
11 | 2 | |
12 | 1 | |
13 | 1 | |
14 | 1 | |
15 | 2 | |
16 | 1 | |
17 | 2 | |
18 | 2 | |
20 | 2 | |
22 | 2 | |
23 | 1 | |
24 | 1 | |
25 | 1 | |
26 | 1 | |
27 | 1 | |
30 | 2 | |
63 | 1 | 5/4 5/5 5/6 5/9 4/2 3/2 |
非平面的な駒を含む解の数の分布は以下のとおり。
Sols | Combi | |
---|---|---|
1 | 10,934 | |
2 | 7,629 | |
3 | 5,528 | |
4 | 4,010 | |
5 | 3,133 | |
6 | 2,591 | |
7 | 2,031 | |
8 | 1,720 | |
9 | 1,401 | |
10 | 1,249 | |
11 | 1,117 | |
12 | 1,030 | |
13 | 864 | |
14 | 707 | |
15 | 684 | |
16 | 574 | |
17 | 556 | |
18 | 448 | |
19 | 429 | |
20 | 391 | |
21 | 365 | |
22 | 354 | |
23 | 318 | |
24 | 284 | |
25 | 289 | |
26 | 261 | |
27 | 224 | |
28 | 197 | |
29 | 196 | |
30 | 162 | |
31 | 179 | |
32 | 167 | |
33 | 146 | |
34 | 136 | |
35 | 129 | |
36 | 121 | |
37 | 127 | |
38 | 124 | |
39 | 94 | |
40 | 101 | |
41 | 101 | |
42 | 89 | |
43 | 92 | |
44 | 77 | |
45 | 79 | |
46 | 57 | |
47 | 53 | |
48 | 64 | |
49 | 54 | |
50 | 74 | |
51 | 67 | |
52 | 56 | |
53 | 44 | |
54 | 60 | |
55 | 54 | |
56 | 56 | |
57 | 43 | |
58 | 41 | |
59 | 48 | |
60 | 44 | |
61 | 38 | |
62 | 41 | |
63 | 51 | |
64 | 29 | |
65 | 25 | |
66 | 38 | |
67 | 18 | |
68 | 31 | |
69 | 28 | |
70 | 26 | |
71 | 24 | |
72 | 30 | |
73 | 29 | |
74 | 21 | |
75 | 29 | |
76 | 19 | |
77 | 16 | |
78 | 17 | |
79 | 22 | |
80 | 21 | |
81 | 11 | |
82 | 24 | |
83 | 13 | |
84 | 20 | |
85 | 13 | |
86 | 21 | |
87 | 11 | |
88 | 19 | |
89 | 8 | |
90 | 10 | |
91 | 15 | |
92 | 14 | |
93 | 10 | |
94 | 8 | |
95 | 10 | |
96 | 10 | |
97 | 9 | |
98 | 7 | |
99 | 19 | |
100 | 15 | |
101 | 12 | |
102 | 13 | |
103 | 4 | |
104 | 14 | |
105 | 8 | |
106 | 16 | |
107 | 12 | |
108 | 9 | |
109 | 6 | |
110 | 8 | |
111 | 13 | |
112 | 7 | |
113 | 4 | |
114 | 7 | |
115 | 7 | |
116 | 4 | |
117 | 5 | |
118 | 4 | |
119 | 7 | |
120 | 4 | |
121 | 7 | |
122 | 5 | |
123 | 8 | |
124 | 5 | |
125 | 10 | |
126 | 6 | |
127 | 9 | |
128 | 10 | |
129 | 12 | |
130 | 9 | |
131 | 3 | |
132 | 4 | |
133 | 6 | |
134 | 5 | |
135 | 5 | |
136 | 5 | |
137 | 5 | |
138 | 7 | |
139 | 5 | |
140 | 3 | |
141 | 5 | |
142 | 2 | |
143 | 3 | |
144 | 6 | |
145 | 6 | |
146 | 5 | |
147 | 1 | |
148 | 2 | |
149 | 4 | |
150 | 5 | |
151 | 3 | |
152 | 5 | |
153 | 6 | |
154 | 5 | |
155 | 4 | |
156 | 2 | |
157 | 3 | |
158 | 2 | |
160 | 4 | |
162 | 1 | |
163 | 4 | |
165 | 2 | |
167 | 5 | |
168 | 3 | |
169 | 4 | |
170 | 1 | |
171 | 5 | |
172 | 3 | |
174 | 1 | |
175 | 3 | |
176 | 5 | |
177 | 2 | |
178 | 1 | |
180 | 1 | |
181 | 4 | |
183 | 4 | |
185 | 3 | |
186 | 7 | |
188 | 4 | |
189 | 1 | |
190 | 2 | |
191 | 3 | |
192 | 3 | |
193 | 1 | |
194 | 1 | |
196 | 3 | |
197 | 2 | |
198 | 2 | |
199 | 3 | |
200 | 4 | |
201 | 3 | |
202 | 1 | |
205 | 3 | |
206 | 3 | |
207 | 2 | |
209 | 1 | |
212 | 1 | |
215 | 1 | |
216 | 1 | |
217 | 2 | |
218 | 1 | |
219 | 1 | |
221 | 1 | |
223 | 1 | |
224 | 1 | |
226 | 1 | |
230 | 1 | |
232 | 1 | |
234 | 2 | |
235 | 1 | |
237 | 1 | |
238 | 1 | |
239 | 2 | |
240 | 1 | |
241 | 1 | |
244 | 1 | |
245 | 1 | |
247 | 1 | |
249 | 1 | |
254 | 1 | |
255 | 3 | |
256 | 1 | |
258 | 1 | |
263 | 1 | |
266 | 1 | |
267 | 1 | |
272 | 1 | |
274 | 1 | |
277 | 1 | |
282 | 1 | |
283 | 1 | |
285 | 1 | |
286 | 1 | |
288 | 2 | |
292 | 1 | |
293 | 1 | |
294 | 1 | |
295 | 1 | |
297 | 2 | |
300 | 1 | |
306 | 2 | |
307 | 1 | |
310 | 1 | |
312 | 1 | |
313 | 1 | |
316 | 1 | |
323 | 1 | |
328 | 2 | |
329 | 1 | |
333 | 1 | |
334 | 1 | |
345 | 1 | |
347 | 1 | |
348 | 2 | |
350 | 1 | |
354 | 1 | |
356 | 1 | |
357 | 2 | |
372 | 1 | |
373 | 1 | |
378 | 1 | |
391 | 2 | |
395 | 1 | |
401 | 1 | |
414 | 1 | |
423 | 1 | |
456 | 1 | |
477 | 1 | |
506 | 1 | |
519 | 1 | |
605 | 1 | |
618 | 1 | |
641 | 1 | |
687 | 1 | |
698 | 1 | |
844 | 1 | 5/4 5/6 5/16 5/22 4/2 3/2 |