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Ideal Values and Practical Values (part 2). More on the value of Chess pieces.[All Comments] [Add Comment or Rating]
George Duke wrote on Fri, Dec 17, 2010 04:30 PM UTC:
The Betzan atoms do not add three-at-a-time, subdividable, to suitable chess different armies, do they? This IV&PV(2) has atomic Alfil, Ferz, Dabbabah, Wazir, Knight that repeat throughout Betza. The next chapter(3) has Clobberers, Avian Airforce, Nutty Nights; and different armies as a whole intertwine with the value articles.  The former CDAs invented 1978 led to the Ideal and Practical Values work-ups of the 1990s.  Cavebear. Cavebear and Ralph for different armies.  Cavebear's, http://www.chessvariants.org/other.dir/abc-chess.html, generator (a,b,c,ab,ac,bc,abc) gives (7+1) with the King from chosen three starting piece-types. What is the highest that can be done from A,F,D,W,N? D,W,N. What is that worth 7/8 across? Betza says since A and F and D and W each reach four, the bi-compounds are approximately equal to Knight, who reaches eight. With other approximations, the Army (Dabbabah, Wazir, Knight, DW, DN, WN, DWN) is '1.0 + 1.6 + 3.0 + 3.0 + 4.5 + 5.0 + 6.5', which is almost 25 points first-approximate.  That is too weak for a classic different army. Fabulous f.i.d.e. is '3+3+3+3+5+5+9'
or 31, the target value. Understand, these are cave-wall pictorials by checkered representation, or much much later Plato's shadow theatre, no modern computational accoutrements available the mind in the cave, or en francais cave in the mind.  In other words, another fair way to approach an answer is to say Camel reaches 8 but less usefully than Knight; so also colourbound Ferz-Dabbabah (of other atomic armies sub-standard) is Camel-value on a near-first principle. Each step demonstrable in situ.

George Duke wrote on Fri, May 2, 2008 07:52 PM UTC:Excellent ★★★★★
Betza's first sentence notes around 1996, although the CVPage article says 2001, that Alfil, Ferz, Wazir, Dabbabah, Knight are Betza's five units for compounding. Somewhere he lists all the combinations: AF, AW, AD, AN, FW, FD, FN, WD, WN, DN, AFW, AFD, AFN, FWD, FWN, WDN. Jeremy Good also made a list of compounds. A Chess-Different-Armies copycat, other than Betza's, uses some of these. We shall find them, to see especially which have been combined with Knight in triple-compound embodied in actual CV. Then we know their actual original names.

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