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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-sided2-sided 1-sided2-sided
1 11
2 11 11
3 11 22
4 43 108
5 64 3926
6 1912 209125
7 4324 1071582
8 12066 60573177
9 307160 3431717521
10 866448 200224101270
11 23361186 1179449592745
12 65883334
13 183739235
14 5211926166
15 14770073983
16 422016211297
17 1207477604107
18 34710671736328
19 99991355000593
20 2889356014448984
21 8366572941835738
22 242826187121419260
23 706074369353045291
24 20568706971028452717
25 60015552753000800627
26 175383350778769216722
27 5132379278925661961898
28 15039005343275195166667
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-sided2-sided 1-sided2-sided
1 11
2 33
3 1611
4 16792
5 1943987
6 2975714577
7 527878253614
8 105983375061323
9 112569577
10
11
12
13
14
15

 


Jul 1, 2008 by k16@chiba.email.ne.jp