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'You know, the thought occurred to me that if the characteristics of pieces changed when they fuse or fission, then check could be given by a piece that was part of a compound that could not give check...' - Joe Joyce [2007-10-10]
This comment, raises some interesting possibilities. In the following diagram [White] has Rook+Nightrider compound (h8), Bishop (h1), King (b1). [Black] has King (a8), Rook (b7). Splitting the Nightrider off by moving h8-b5 blocks the check by the Rook (b7) and checkmates with the Rook (h8).
k . . . . . . X . r . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . K . . . . . B
The idea sounds great. I have a question though (and two suggestions.) The question is : During a Fission move, for example, when the Nightrider moves away from the Rook+Nightrider, is it limited to a single step ? Update: I looked at the position you posted and found my answer, but is the position legal? (After reconsidering, Black's last move was probably Rxb7 +.) The two suggestions : 1. Replace the Nightrider with a Rose. The Rose strikes me, personally, as a more natural extension of the Knight. 2. Compounds of two pieces, instead of being restricted to one step, they can be absolute halflings. This has two implications : a. a Halfling Rose is not how Betza defines it, but rather how he defines normal halflings. If the Rose, along its normal line of movement, must stop at a certain square (because of edges or because of itself, not counting other pieces,) then a Halfling Rose moves half that distance rounded up. b. a King may not be involved in triple combounds. Double compounds are okay. (Retaining some of Fusion Chess's flavour.)
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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.