Polyiamond
|
last updated: Jul 11, 2008
|
Counting Polyiamonds
Polyiamond とは、1つ以上の正三角形を辺で接続した図形のこと。
| # |
2D-iamond |
3D-iamond |
|---|
| 1-sided | 2-sided |
1-sided | 2-sided |
| 1 |
1 | 1 |
| |
| 2 |
1 | 1 |
1 | 1 |
| 3 |
1 | 1 |
2 | 2 |
| 4 |
4 | 3 |
10 | 8 |
| 5 |
6 | 4 |
39 | 26 |
| 6 |
19 | 12 |
209 | 125 |
| 7 |
43 | 24 |
1071 | 582 |
| 8 |
120 | 66 |
6057 | 3177 |
| 9 |
307 | 160 |
34317 | 17521 |
| 10 |
866 | 448 |
200224 | 101270 |
| 11 |
2336 | 1186 |
1179449 | 592745 |
| 12 |
6588 | 3334 |
| |
| 13 |
18373 | 9235 |
| |
| 14 |
52119 | 26166 |
| |
| 15 |
147700 | 73983 |
| |
| 16 |
422016 | 211297 |
| |
| 17 |
1207477 | 604107 |
| |
| 18 |
3471067 | 1736328 |
| |
| 19 |
9999135 | 5000593 |
| |
| 20 |
28893560 | 14448984 |
| |
| 21 |
83665729 | 41835738 |
| |
| 22 |
242826187 | 121419260 |
| |
| 23 |
706074369 | 353045291 |
| |
| 24 |
2056870697 | 1028452717 |
| |
| 25 |
6001555275 | 3000800627 |
| |
| 26 |
17538335077 | 8769216722 |
| |
| 27 |
51323792789 | 25661961898 |
| |
| 28 |
150390053432 | 75195166667 |
| |
The italic number means that I have not confirmed yet.
Counting Pseudo Polyiamonds
Pseudo Polyiamond とは、1つ以上の正三角形を辺または頂点で接続した図形のこと。
-2 dim connecting
| # |
2D-iamond |
3D-iamond |
|---|
| 1-sided | 2-sided |
1-sided | 2-sided |
| 1 |
1 | 1 |
| |
| 2 |
3 | 3 |
| |
| 3 |
16 | 11 |
| |
| 4 |
167 | 92 |
| |
| 5 |
1943 | 987 |
| |
| 6 |
29757 | 14577 |
| |
| 7 |
527878 | 253614 |
| |
| 8 |
10598337 | 5061323 |
| |
| 9 |
| 112569577 |
| |
| 10 |
| |
| |
| 11 |
| |
| |
| 12 |
| |
| |
| 13 |
| |
| |
| 14 |
| |
| |
| 15 |
| |
| |
Jul 1, 2008 by
k16@chiba.email.ne.jp