[Computer-go] Number of 3x3 patterns
Detlef Schmicker
ds2 at physik.de
Tue Nov 3 11:00:16 PST 2015
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Thanks, but I need them reduced by reflection and rotation symmetries
(and leave the center empty so 3^8 + 3^5 + 3^3 and than reduce)
Am 03.11.2015 um 19:32 schrieb Gonçalo Mendes Ferreira:
> If you are considering only black stone, white, empty and border,
> ignoring symmetry, wouldn't it be
>
> 3^9 + 3^6 + 3^4
>
> 3^9 for patterns away from the border, 3^6 for near the sides and
> 3^4 near the corners, assuming you are also interested in the
> center value.
>
> This makes 20493, then you need to take out illegal patterns
> (surrounded middle stone). So I'd hint it's close to 20000.
>
> On 03/11/2015 18:17, Detlef Schmicker wrote: I could not find the
> number of 3x3 patterns in Go, if used all symmetrie s.
>
> Can anybody give me a hint, were to find. Harvesting 40000 games I
> get 1093:)
>
> Thanks, Detlef
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