(;AP[HexGui:0.10.GIT]
C[2021/05/14

Black\: Kyle
White\: Peter

Handicap\: 0.5

White wins.]
FF[4]GM[11]PL[B]SZ[11];B[f6];W[h9];B[d8];W[g4];B[c4];W[d6];B[c8];W[d5];
B[e5]
C[Eric\:

j4 is the only thing I can think of that seems like it might maybe have worked for Black.]
;W[e7];B[f7];W[e8];B[f8];W[e10];B[e9];W[d10];B[d9];W[b11];B[i7](;W[g10]
C[I think h10 would have been better (less foilable), see next variation.

Eric\: J7 and J8 also work.]
;B[j7];W[g8];B[i9];W[h6];B[i5];W[i6];B[k5];W[j5];B[k4];W[j4];B[k3];W[j2]
;B[j3](;W[h3]
C[i3 was a quicker win, see next variation.

Eric\:

Black probably has a win now, see second variation on the next move.]
(;B[h5];W[i3];B[i4];W[f3];B[b6];W[e3];B[b7];W[c3];B[d3];W[e1];B[d2];
W[d1];B[b2];W[c2];B[resign])(;B[i3];W[i2];B[b8]
C[Eric\:

This connects to the 11-edge via the A11-corner or H5, and I think it also connects to the 1-edge.

For intuition, this is\:

Since i3 would be a forcing move for White, Black won't get an escape in that corner, so to connect the height-4 ladder resulting from wF3, Black will need to go under D5+D6.  The only way to do that is with a forcing move from the other side too, and the only way Black might get such a forcing move is by playing it _before_ making White no longer care about whether D10 connects to the A-edge.]
;W[f3]C[Eric\: example line.];B[e4];W[e3];B[b5]))(;W[i3];B[i4];W[g5]))(;
W[h10];B[f10];W[f9];B[g9];W[g8];B[h8];W[h6]
C[Connects by ladder creation template and ladder escape.]))
