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Jeremy Lennert wrote on Tue, Dec 13, 2011 01:55 AM UTC:

I remain skeptical even of your revised claim.  Even when the components are non-overlapping and 'similar' (though I can only guess what that means), I see no obvious reason that having divergent capturing and non-capturing moves is better than having the same in the general case; only the capture or non-capture will be legal in any given position, so there is no loss due to 'overlap'.  In fact, I've seen the opposite argued, on the grounds that a divergent piece is easier to trap, since it is unable to attack enemies in its way.

When the combination lifts a special disadvantage (such as colorboundness), that is a special case; though it would need to eliminate a disadvantage from EACH of the components in order for that to make it stronger than BOTH, in general.  (And I am unconvinced that lack of triangulation is a disadvantage of any measurable significance.)  If the components were instead Crab and Barc, or Rook and Nightrider, what then?

Comparing a Pawn to a Point is like comparing a Queen/Knight divergent piece to a Knight; that is obviously the weaker parent (Ferz is already stronger than Wazir, and loses much less from the forward-only restriction).  I strongly suspect that the Pawn is weaker than a forward-only Ferz, despite the Ferz being colorbound, because the fF has more possible moves and does not need to capture to change files (the latter advantage being especially important if promotion is allowed).

What is your evidence or reasoning for valuing divergent pieces more highly?

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Comments

Man and Beast 02: Shield Bearers. Systematic naming of divergent coprime radial pieces.

Liang Qi wrote on Sat, Nov 7, 2020 04:05 PM UTC:

What about the name about the symmetry version about pawnbroker and yeomanwarder? I think you have lost these kind of pieces.

Liang Qi wrote on Fri, Nov 6, 2020 03:51 AM UTC:

What about the name of Highlander+Lowlander?

Jeremy Good wrote on Wed, Dec 10, 2014 04:12 PM UTC:

Might we substitute the word "can" for "must" in your description of pawns' initial steps? Why?

"WARHEAD Pawn: both steps must be capturing (more aggressive than the above)"

- to say that both steps MUST be capturing is not to make the Warhead pawn more aggressive but to allow the Warhead pawn an initial double step only in the extremely unusual event that two pawns are lined up for it to take. Since an opponent is unlikely to allow that to happen, in practice, that means the Warhead pawn is unlikely to be able to make an initial double step at all.

So in practice, makes it more passive, not more aggressive (unless we substitute "can" for "must.")

Edit: I see my comment is insufficient in light of how you use "may" to introduce combinations of initial-step pawns. I will review and comment again later, unless someone can clear all this up in the mean time. I am now thinking perhaps we can create an even more comprehensive list that is also more plausible - unless you already did that, Charles. I wouldn't put anything past you when it comes to creating authoritative lists.

J Andrew Lipscomb wrote on Wed, May 22, 2013 09:32 PM UTC:

On the prefixes: given the four "basic" (European, Warhead, Ambush, Nonchalant) patterns of capture/non-capture allowed, we have prefixes for those with zero (Ancient), four (Eurofighter), or two (all six ways) powers. Missing are those with three. Proposals:

anti-European (must capture at least once): HUNGRY

anti-Warhead (may not capture twice): DIETING (no second helpings!)

anti-Ambush (if first is passive, second must be too): ELECTRIC ("It has to warm up... so it can kill you" of Wednesday Addams' electric chair)

Anti-Nonchalant (if first is capture, second must be too: ADDICTED (gotta keep killin'...)

Jeremy Lennert wrote on Sat, Dec 31, 2011 07:24 PM UTC:

Good point. Perhaps the value-tests for weak pieces should be performed with armies that include even weaker pieces, such as Wazir, Ferz, or Crab, to reduce the impact of the leveling effect. (One might argue that Pawns should suffice, and perhaps they do, but they are very weird pieces.)

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