George Duke wrote on Wed, Aug 22, 2007 04:24 PM UTC:
Given that the Mad Queen as such is dead. Like many-headed Hydra, a new
Carrera derivative most every decade since year 1617. Is Carrera's worthy
companion piece? A Hera? Or only weak sister, lady-in-waiting? To extent
JJoyce's Comment about 'Rhino' relates to this M/C thread, it suggests
Mao and Moa compounded with Rook and Bishop respectively, instead of
Knight with either. No secret then where we may well he headed: in place
of awkward combination pieces NR and NB, instead overlapping sliders, like Queen itself, making true compounds. We accumulate the evidence in DEMOS,
no one necessarily more or less convincing in itself, toward a preponderance of evidence. DEMONSTRATION III: On 3x3 board and all larger
3 K__ __c (rectangular) boards from a legal position, Centaur(BN) and
2 __ __ King cannot checkmate lone King, with latter choosing who
1 __ __k moves first. Champion(RN) can: like one of some seven
deadly sins, the fatal flaw asymmetry.
DEMONSTRATION IV(symmetry): Ignoring the other back-rankers, consider the
Pawns protected by Queen(RB), Champion, Centaur. There is no way to avoid
a___a___P___a___aq__qm__q___m___P___m a = pawn protected by Centaur,C
x___x___C___x___x___Q __x___M___x___x m = pawn protected by Champion
b c d e f g h i
at least two unsymmetrical unprotected Pawns, without positioning Champion and Centaur themselves unsymmetrically. That Pawns may subsequently be protected by other piece placement is irrelevant. This asymmetry here again being sign of certain imbalance, or disequilibrium, in power distribution among the pieces.
Given that the Mad Queen as such is dead. Like many-headed Hydra, a new Carrera derivative most every decade since year 1617. Is Carrera's worthy companion piece? A Hera? Or only weak sister, lady-in-waiting? To extent JJoyce's Comment about 'Rhino' relates to this M/C thread, it suggests Mao and Moa compounded with Rook and Bishop respectively, instead of Knight with either. No secret then where we may well he headed: in place of awkward combination pieces NR and NB, instead overlapping sliders, like Queen itself, making true compounds. We accumulate the evidence in DEMOS, no one necessarily more or less convincing in itself, toward a preponderance of evidence. DEMONSTRATION III: On 3x3 board and all larger 3 K__ __c (rectangular) boards from a legal position, Centaur(BN) and 2 __ __ King cannot checkmate lone King, with latter choosing who 1 __ __k moves first. Champion(RN) can: like one of some seven deadly sins, the fatal flaw asymmetry. DEMONSTRATION IV(symmetry): Ignoring the other back-rankers, consider the Pawns protected by Queen(RB), Champion, Centaur. There is no way to avoid a___a___P___a___aq__qm__q___m___P___m a = pawn protected by Centaur,C x___x___C___x___x___Q __x___M___x___x m = pawn protected by Champion b c d e f g h i at least two unsymmetrical unprotected Pawns, without positioning Champion and Centaur themselves unsymmetrically. That Pawns may subsequently be protected by other piece placement is irrelevant. This asymmetry here again being sign of certain imbalance, or disequilibrium, in power distribution among the pieces.