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| Number of possible openings with 4-4 and 3-4 http://www.lifein19x19.com/viewtopic.php?f=15&t=17592 |
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| Author: | Knotwilg [ Fri Jun 26, 2020 12:44 am ] |
| Post subject: | Number of possible openings with 4-4 and 3-4 |
Given that most games today start with a move in each of the 4 corner at either 4-4 or 3-4 I wanted to compute how many possibilities there are. Without taking symmetry into account there are 4! * 3^4 = 972 possibilities. With symmetry ... I approached this by thinking about the topology first then the coloring Star points only: one topology (4 2) colorings 3 symmetries = 2 One 3-4: one topology, (4 2) colorings, no symmetry = 6 ... In a first, less mathematical approach, I got to 69. I'll complete this here but maybe someone has done the math already or is faster than me. |
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| Author: | inbae [ Fri Jun 26, 2020 12:28 pm ] |
| Post subject: | Re: Number of possible openings with 4-4 and 3-4 |
And I have sgf files for them: 4m_symm_without33 in https://github.com/isty2e/baduk-opening-book |
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