(;AP[Hexon:0.0]FF[4]GM[11]SZ[11]C[2022/08/12

Black\: Thomas
White\: Peter

Handicap\: 1.5

White wins.
]PL[B]
;B[i3]
;B[d8]
;W[h2]
;B[g4]
;W[h4]
;B[h3]
;W[f5]
;B[h5]
;W[g7]
;B[g6]
;W[i4]C[Eric\: good.

(https\://www.hexwiki.net/index.php/Peep)
]
;B[g5]
;W[f3]
;B[j1]C[Peter\: J3 is a much better way to connect here.]
;W[j2]
;B[i2]
;W[f7]
(;B[f6]C[Peter\: Black had a relatively simple win via e6, see next variation.]
 ;W[e7]
 ;B[d7]
 ;W[e6]
 ;B[i6]
 ;W[i7]
 ;B[h7]
 ;W[g9]
 (;B[e9]C[Peter\: A really good, but difficult-to-see move for Black would have been c7, see next variation.]
  ;W[f9]
  ;B[h8]
  ;W[h9]
  ;B[d5]C[Peter\: Good!
]
  ;W[e4]
  ;B[c4]C[Eric\: Good.

(D4 would've let White win via a ladder escape fork at C3.)
]
  ;W[b3]
  ;B[d3]C[Peter\: Losing move. C5 was probably winning.

Frank\: D4 is simpler.

Eric\: By generously (https\://www.hexwiki.net/index.php/Captured_cell#Generous_capture) giving White F10 and then applying the reasoning from the A3 escape trick, I can prove that C5 and D4 were in fact winning here, since after whiteF10, White won't be able to do better in the C10 region than exchanging whiteB10 for blackC9.]
  ;W[c5]
  ;B[d4]
  ;W[d6]
  ;B[c6]
  ;W[c7]
  ;B[a8]
  ;W[j8]
  ;B[b9]
  ;W[b7]
  ;B[a7]
  ;W[b6]
  ;B[a6]
  ;W[b5]
  ;B[a5]
  ;W[b4]
  ;B[a4]
  ;W[a3]
  ;B[resign])
 (;B[c7]C[Peter\: This move is good because it is connected to the 11-edge, serves as a ladder escape for Black, and also threatens to connect to the 1-edge.]
  (;W[e9]C[If White blocks the ladder, Black connects to the 1-edge.

See next variation for if White plays on the other side.]
   ;B[d5]
   ;W[e4]
   ;B[c4]
   ;W[c10]
   ;B[b10])
  (;W[d5]C[If White plays on the other side, Black has a ladder escape.]
   ;B[g8]
   ;W[f9]
   ;B[f8]
   ;W[e9]
   ;B[e8]
   ;W[c10]
   ;B[b10])))
(;B[e6]
 ;W[f6]
 ;B[e5]
 ;W[f4]
 ;B[d4]
 ;W[d3]
 ;B[e3]
 ;W[f1]
 ;B[f2]
 ;W[g1]
 ;B[g2]
 ;W[h1]
 ;B[g3]
 ;W[d9]
 ;B[e8]
 ;W[e9]
 ;B[f8]
 ;W[f9]
 ;B[h8]
 ;W[g8]
 ;B[i6]
 ;W[h9]
 ;B[g9]
 ;W[f11]
 ;B[c10]))
