Modern computers are not powerful enough to thouroughly search for a solution to any octiamond shape and prove it untilable, if that is the case. This is enough of a reason to state that an exhaustive list of octiamond stars is impossible to compile; we can only expand it, by educated guess, but we can never be 100% sure that a particular shape is untilable.
The table below contains octiamond stars. Colours correspond to the number of holes. Some of the shapes have been taken from other sites, some are new tilings of well known shapes; some are new. Whenever there is no other indication, the tiling has been found by myself. Many thanks to all other contributors!
| Tiling | Number of holes | Hole area | Note |
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