Complete list of constructible non-symmetric octominoid shapes
Shapes and configurations not listed here are proved not to be constructible by computing the two invariants.
For all shapes the indication in square brackets indicates if it is nonsymmetric ([Uc]) or if
it is symmetric ([Sx]) in which case x indicates the order of the symmetry group.
A letter c
if present indicates that the shape is chiral.
Click on an image to obtain detailed information on corresponding configurations.
For all configurations the link points to instructions on how to build it.
Brief information in square brackets has to be interpreted as follows:
c
indicates a chiral configurations (of the undecorated puzzle)
f
n indicates the number of flap tiles, if any
T
n refers to the twin configuration, the one obtained by reverting the diagonals.
- n is the numbering of the twin config in the list for the same shape
Ts
means that the twin config is the configuration itself
Tx
means that the twin config is not constructible
Terminology used in the building instructions
Go to restricted list of symmetric shapes
Go to unrestricted list of all shapes
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- box 1x2x2:
- (+8)
-
- (+7)
-
- (+6)
-
- (+5)
-
- (+4)
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- box 2x2x2:
- (+6)
-
- (+5)
-
- (+4)
-
- (+3)
-
- (+2)
-
- (+0)
-
- box 1x2x3:
- (+8)
-
- (+6)
-
- (+5)
-
- (+4)
-
- (+3)
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- box 1x1x3:
- (+8)
-
- (+6)
-
- box 2x2x3:
- (+0)
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- box 1x1x4 (no shapes)
- box 1x1x2:
- (+7)
-
- box 1x1x3 (no shapes)
Total of 160 shapes (258 configurations)