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Cubic Seki
Path: AllYouEverWantedToKnowAboutSekis   · Prev: GlobalSekiOngoingGame   · Next:
    Keywords: Theory

The topology of a cubic seki resembles that of a cube. Pressed flat, that's

  X -------- O
  | \      / |
  |  O -- X  |
  |  |    |  |
  |  X -- O  |
  | /      \ |
  O -------- X

Eight corners - the groups - connected by twelve edges - their shared liberties.


Smallest ?

[Diagram]

  • 8 x 10 intersections
  • 34 stones each
  • 3 liberties each
  • no square (2x2 block)



Here's one not depending on edges:

[Diagram]

  • 8 x 12 intersections
  • 42 stones each
  • 3 liberties each
  • no square
  • no edge




Nicest ?

[Diagram]

  • 10 x 10 intersections
  • 44 stones each
  • 3 liberties each
  • no square



Or rather this one?

[Diagram]

  • 10 x 10 intersections
  • 44 stones each
  • 3 liberties each
  • no square




Generator

To increase the number of shared liberties, take the one below (made of the one above) and duplicate its two rows and two columns framing its 2x2 center:

[Diagram]
i = 0



[Diagram]
i = 1



[Diagram]
i = 2



etc., giving

  • (12 + 2i) x (12 + 2i) intersections
  • 66 + 18i + 2ii stones each
  • 3 + 3i liberties each

Terminality

Robert Pauli: I guess nobody can gain anything if he starts - under territory scoring, of course (and under area scoring the gain might be equal). At i = 0 and i = 1 it's even disadvantageous. From i = 2 on, without having a proof, I feel that if both go after the weakest opposing group without touching the second to last liberty between them, nobody will be captured. True?


Authors



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This is a copy of the living page "Cubic Seki" at Sensei's Library.
(OC) 2004 the Authors, published under the OpenContent License V1.0.