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? 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: > >> -----BEGIN PGP SIGNED MESSAGE----- >> Hash: SHA1 >> >> 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 >> > >> -----BEGIN PGP SIGNATURE----- >> Version: GnuPG v2.0.22 (GNU/Linux) >> >> iQIcBAEBAgAGBQJWOQRAAAoJEInWdHg+Znf4SCcP/1oQI5ZI4nIMym8c/1gg1OWh >> IDqhO3Ie1Rd7nxgDxaXZDaYACZr9UYRsueyLCLNGignLw6FVpXZvfC9YRn+NKenw >> fruwUt/lRzfZGhRyxS5R55pq1X8ux1F/+aa63sRo4/SZGFCVCKeX/hsv3RyM6nuw >> iuO9BhFSr0upmarcAJiyt4qSg9JWVdrQI7CaWE6C5XdJI3v5zXxV6yG7mcrSl8oy >> 66fVbpLo++TjWRUZoChn+HSLuq1rTfp6fWPbMsV3Wwfk7Y3kGkBzMMjvjUpVRktv >> 5Nu3tcFEf2Hts1iudQ/lPTdA9UYPhkSKwD3l4Z8khR6HpxO8kKClbU6g/uXBwLP+ >> k/ORYx4imeXMhSfgbzBxZAljRqL86cpUT9A0F0+Llqq4lClCq7I+CjZDXamAH8P8 >> AqpDQhizni0wEy0KLizkwvJ8mZnqg310553wKaZs+BfP2kkAw+iUtrqvkQ6dsk2t >> 8fgwMT5Yuw/BfvXLHT/Bp2/GSw5Q97yMNXBBdMqvbIpWkann5bwqVmJljz1VV+TU >> G8CA9xeIj8HjVETBUIMURZDxTs+RkxT3fIdlEhH0MvreKBEw0Xp/eSUffqINVSk4 >> pIcUdjTnutQgL/AtxePcnQuGksvB0KPK5zvUscNgXw9US3JUu1DXcJ6mn+y1PRKK >> 9xaazKCRBfJjAkhnBlzR >> =j9hC >> -----END PGP SIGNATURE----- >> _______________________________________________ >> 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 >
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