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Doug Chatham wrote on Mon, Aug 20, 2007 12:14 AM UTC:
So, would you prefer a Rook+Nightrider to a Marshall?  Or a
Bishop+Nightrider to a Cardinal?

George Duke wrote on Sun, Aug 19, 2007 08:34 PM UTC:
DEMONSTRATION (II)conclusion: In the multi-path model, Marshall
(Knight+Rook)is of itself kin to combining apples and oranges, elements
from the extremes of the categories. (Knight+Camel) is properly a compound of leapers. Knight plus Zebra is a compound. Rook+Sissa is a compound, in
part, making three-path to Rook squares.  Cardinal(Knight+Bishop) is a
'pseudo-compound', having combination rules of movement for patenting
and also everday purposes. Neither do we consider Bishop+Antelope(4,5 leaper) a compound, but a combination piece. Antelope does not augment the Bishop's move with a pathway, as for instance Crooked Rook would. Disparagingly, 'pseudo-compound' fits also because of improbability that movements combining powers at opposite extremes, namely leaper and one-path slider, could be very effective within one piece. Hence their unpopularity. The term is in nature of argumentative style because more important is accurate description of the rules of movement. So, in our system, there are compound leapers and compound sliders(like QUEEN!) and compound multi-path movers(FALCON, SCORPION, DRAGON, PHOENIX, ROC) and others(like riders), but no compound of Leaper and Slider. Marshall or Cardinal as compounds are misnomers and rather combination pieces.

George Duke wrote on Sun, Aug 19, 2007 08:15 PM UTC:
New thread of Demonstrations that Marshall(RN) & Cardinal(BN) are fatally flawed, to be extended. DEMO (I): Dave's Silly Chess Game (2x2)
  2 q_k                 2 m_k       2 c_k  
  1 K_Q  makes sense.   1 K_M  and  1 K_C  do not.  Think about it.
DEMONSTRATION (II): Conclusion of 'Multipath Chess Pieces':  'Beyond
chronology, any rule of movement writ large, having real-world counterparts allegorically, describes something multiform and multipath, whereof reduction to mere leaper or rider is actually the special case'. Thus the NORM is multi-path. A piece that moves to only (1,2) (1,3) (1,4) and (1,5), conventional Rook squares, called by Betza Short Rook, moves stepwise like Wazir. But that is only one possibility. For example, 'Sissa', moving any number as Bishop and same number 'orthogonally in one direction', also reaches Rook squares: e1-f2-e2, e1-f2-g3-f3-e3 and so on. Sissa is two-path to Rook squares (e.g., e1-d2-e2 etc.)  In reality, there are innumerable pathways to each Rook square. Frivolously, 'Earthquake' goes 13 straight forward, 12 diagonally backward and 12 cross-horizontally to Rook (1,2). Also an example, specifying an unnamed piece moving e1-f2-e2-f3-e3-f4 and so on being two-way also to Rook squares, differently from Sissa. Once specifying a path such as e1-e2-e3-e4-e5-e6-e7-e8, it establishes an extreme no longer normal 'multi-path', in this case, a Rook Slider, one-path. VERY OPPOSITE EXTREME is no pathway at all, a Leaper, such as Dabbabah to (1,3) or Trebouchet(1,4), or Camel(2,4). There would be innumerable multi-path alternatives to any of those target squares of prototypical Leaper, all become inapplicable, once defined as such.

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