Solutions to worst move puzzles
From HexWiki
Puzzle 1
Red captures the cells shaded red, leaving room for only a ziggurat (shaded gray) below to connect. Blue has a 3rd row ladder escape on the left with (*). In order for Blue to win, Red should try not to intrude either the ladder escape or the ziggurat. Red 1 below achieves this, and it's in fact the unique losing move; Blue 2 is the unique winning reply.