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Fusion Chess III makes the following rules changes to Fergus Duniho's Fusion Chess. [1] Allow triple fusion. [2] Replace Knights with Nightriders and Queens with Rook, Bishop, Nightrider triple compounds. [3] Limit all compound pieces to single-step moves, so the 'Queen' moves and captures like a Wazir, Ferz, Knight compound. [4] Strengthen the illegal compounds rule to forbid any compound that fails to add a new movement capability. Thus King+Nightrider is the only royal compound permitted, as it has the added ability to move and capture like a Knight (single-step Nightrider). As in Fusion Chess, the original King cannot be split.