Cockroach (fan expansion for Hive)

Description

--- The Cockroach movement rule in Hive requires ascending to the Hive top first, unrestricted navigation there (without crossing opponent pieces), and descending to ground level last, akin to the Ladybug. Key mechanics include: - *Movement sequence* Must begin by moving onto the Hive top and end by moving one space down to ground level. - *Hive traversal* Unlimited movement on the Hive top, similar to the Ladybug, but prohibited from moving over opponent's pieces. - *Starting position* Occupies the same tile as the Ladybug. The Cockroach piece follows a movement pattern identical to the Ladybug, initiating its turn by ascending to the top of the Hive, then performing any number of additional moves on the Hive level without restrictions beyond avoiding jumps over opponent pieces, and concluding with a single space descent to ground level. This structured path ensures the Cockroach starts from and returns to ground via the Hive intermediary, while sharing its initial tile position with the Ladybug, emphasizing precise vertical and lateral navigation within the game's spatial constraints. ---