These puzzles use multiple
sets of tetrahexes. The challenge is to create a symmetric
pattern using an odd number of copies of the chosen piece or
pieces. The results shown are the best known solutions -
please let me know if you can do better.
Oddities using copies of only one
piece were first studied by Torsten Sillke and are also
known as Sillke Figures. Results for Tetrahex
Oddities of this type can be found
here at George Sicherman's
site. George allows a single pattern to count for any lower
symmetries that it satisfies, whereas I do not. He also sent
many improved results, which are marked
with an asterisk.
One-Piece Oddities -
see solutions
|
Piece |
Vertical |
Horizontal |
Birotary |
Double Bilateral |
Sextarotary |
Full |
Ternary & Horizontal |
Ternary & Vertical |
Trirotary |
|
1 |
3 |
3 |
3 |
1 |
15 |
9 |
9* |
3 |
3 |
|
2 |
3 |
3 |
3* |
5* |
9 |
3 |
3 |
3 |
3 |
|
3 |
3* |
3* |
1 |
3 |
X |
X |
3 |
9* |
3 |
|
4 |
X |
3 |
X |
X |
X |
X |
1 |
? |
3 |
|
5 |
1 |
5 |
5 |
3 |
9 |
3 |
3 |
3 |
3 |
|
6 |
3 |
3 |
3 |
5 |
9 |
3 |
7* |
3 |
3 |
|
7 |
3 |
3 |
3 |
1 |
X |
X |
9* |
3 |
3 |
Two-Piece Oddities -
see solutions
|
Pieces |
Vertical |
Horizontal |
Birotary |
Double Bilateral |
Sextarotary |
Full |
Ternary & Horizontal |
Ternary & Vertical |
Trirotary |
|
12 |
3 |
3 |
3 |
5 |
9 |
9 |
7* |
7 |
7 |
|
13 |
3 |
3 |
3 |
3 |
15 |
15 |
9 |
7 |
7* |
|
14 |
3 |
3 |
3 |
3 |
15 |
15 |
7 |
9 |
7 |
|
15 |
3 |
3 |
3 |
3 |
9 |
9 |
9 |
9 |
7* |
|
16 |
3 |
3 |
3 |
3 |
9 |
9 |
9 |
7 |
7 |
|
17 |
3 |
3 |
3 |
3 |
15 |
9 |
9 |
9 |
9 |
|
23 |
3 |
3 |
3 |
3 |
9 |
9 |
7 |
7* |
7 |
|
24 |
3 |
3 |
5 |
5 |
9 |
9 |
7 |
7 |
7 |
|
25 |
3 |
3 |
3 |
5 |
9 |
9 |
9 |
7 |
7 |
|
26 |
3 |
3 |
3 |
5 |
9 |
9 |
7* |
7 |
7 |
|
27 |
3 |
3 |
3 |
5 |
9 |
9 |
9 |
3 |
7 |
|
34 |
5 |
3 |
3 |
5 |
? |
? |
7 |
9* |
7 |
|
35 |
3 |
3 |
3 |
3 |
9 |
9 |
7* |
9 |
9 |
|
36 |
3 |
3 |
3 |
3 |
9 |
9 |
7* |
7 |
7 |
|
37 |
3 |
3 |
3 |
3 |
? |
? |
7 |
7 |
7 |
|
45 |
3 |
3 |
5 |
5 |
9 |
9 |
7 |
9 |
7 |
|
46 |
3 |
3 |
5 |
5 |
9 |
9 |
7 |
7 |
7 |
|
47 |
3 |
3 |
3 |
3 |
? |
? |
7 |
9 |
7 |
|
56 |
3 |
3 |
3 |
3 |
9 |
9 |
7 |
7 |
7 |
|
57 |
3 |
3 |
3 |
3 |
9 |
9 |
7 |
9 |
7* |
|
67
|
3
|
3
|
3
|
5
|
9
|
9
|
7*
|
7
|
7
|