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Am 03.11.2015 um 20:24 schrieb Jim O'Flaherty: > I don't see how "leave the center empty" works as a valid case, > assuming this it just any valid 3x3 window on the board. Given bots > playing each other, there can be 9x9 clumps of a stone of the same > color. I can see it being argued there is no computational value in > this specific pattern instance. But, then what are the conditions > of the exceptions to the generalization? And how do you effectively > iterate through the other +20,000 variations (not reduced by > location or color symmetry)? > > So, I'm curious, is there some other assumption about the 3x3 > window other than it be a view into any valid 3x3 space on a Go > board? Sorry, I did not explain the details, the assumption is: I play in the middle, so it must be empty. I thought legal moves might not really reduce the number of 3x3 patterns, as there can be no suicide known from 3x3 patterns, as a capture is always possible. Therefore I wonder, what 14 patterns did not appear in my 40000 games harvested:) > > On Tue, Nov 3, 2015 at 1:04 PM, Álvaro Begué > <alvaro.be...@gmail.com> wrote: > >> I get 1107 (954 in the middle + 135 on the edge + 18 on a >> corner). >> >> Álvaro. >> >> >> >> On Tue, Nov 3, 2015 at 2:00 PM, Detlef Schmicker <d...@physik.de> >> wrote: >> > 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 >>>>>> _______________________________________________ >>>>>> Computer-go mailing list Computer-go@computer-go.org >>>>>> http://computer-go.org/mailman/listinfo/computer-go >>>>> >>>>> _______________________________________________ Computer-go >>>>> mailing list Computer-go@computer-go.org >>>>> http://computer-go.org/mailman/listinfo/computer-go >>>>> >>> _______________________________________________ Computer-go >>> mailing list Computer-go@computer-go.org >>> http://computer-go.org/mailman/listinfo/computer-go >>> >> >> >> _______________________________________________ Computer-go >> mailing list Computer-go@computer-go.org >> http://computer-go.org/mailman/listinfo/computer-go >> > > > > _______________________________________________ Computer-go mailing > list Computer-go@computer-go.org > http://computer-go.org/mailman/listinfo/computer-go > -----BEGIN PGP SIGNATURE----- Version: GnuPG v2.0.22 (GNU/Linux) iQIcBAEBAgAGBQJWOQv1AAoJEInWdHg+Znf4GTYQAIATv45HU7fR1S4bfiygapDI IOOnTtHTdjNoqHWGD07Y3MUy8rP24AcWHtEmlH+uwt42HBFXhCW9Hr2ul/Yreofl e/lxcoawYYWs1tPuHEKV8TPQUVM3aHvPREoQgBMbkMlDpKQA1Jj3Q0Kv8T9cUVOW S2URrTyOFrLiEbl4znYJwiH7hVI7q0HKom/XGFYWkfwhvJjDdKDrPbTUyl4IWo2Q v/HdIXC/6WrPSnkeFnkc595w0qTUiXWj+B/0JYMnKvBml3aEsG8W6uT79SdDJ1MN OJ4iW9L08p68Ovxt6Wp+eXopiPZSQ90PxPtI3cfmWrPWhs3/P95mLPg+u0CEt+PH iuMaCM/XR68rWqQhMjRVbJkM+udo0f5iIGwN3xSDQiqfD1OO4Ks60Bdbj2qmKu/B npEMGGeCqQmiyPftCYSdeMTHPScH+CvcL1nZaC4kdW7+aDfrC7JvU3L5nfKhVxMK RfuXdNeX6mVAI2uL+MvFFea1B38qvdBS4y1XCQ8QObQxuxNJJupzQ8fixYGdOotj UzuuXI4pyCzEcWWG+dr58pA35MbEpUWVsw/UMSA96RjevaqAUQ7nyFvNxcBahzE/ PGHRvcdp/c9AtlxKLDCqMd4+XMVWkSzj75jFhJuyRM4hkcszYdzVngWj6D4h9Npk bzUgyQTYpesLVPNtVfjx =Vqlf -----END PGP SIGNATURE----- _______________________________________________ Computer-go mailing list Computer-go@computer-go.org http://computer-go.org/mailman/listinfo/computer-go
