Cubic Seki
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 ?
- 8 x 10 intersections
- 34 stones each
- 3 liberties each
- no square (2x2 block)
Here's one not depending on edges:
- 8 x 12 intersections
- 42 stones each
- 3 liberties each
- no square
- no edge
Nicest ?
- 10 x 10 intersections
- 44 stones each
- 3 liberties each
- no square
Or rather this one?
- 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:
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