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This game has been anticipated. David Paulowich posted this in 1997: https://www.chessvariants.com/large.dir/newchan.html
This place needs a historian. Where is George Duke when you need him? Or Jeremy Good?
I do my best as "historian" for chess variants :=) Although sometimes it's discouraging to see how people care.
In this case, D Paulowich proposed a CV with 2 Chancellors per side, whereas CCC has 1 Chancellor and 1 Archbishop, so it is not the same game. Anyway, Vujacic honestly does not pretend to have created the most original CV.
The idea of preserving the relative setup of standard chess is also at the roots of Shako, https://www.chessvariants.com/large.dir/shako.html invented more than 30 years ago. And probably in other CVs too.
It took me some searching on this site to find back the thread on 72 Capablanca Variants here: https://www.chessvariants.com/index/listcomments.php?itemid=72+Capa+variants
This variant was already proposed by David Paulowich before 1996 and it is mentioned in the preface on Ralph Betza's thoughts on Outrigger Chess here: https://www.chessvariants.com/d.betza/chessvar/outrig.html
Paulowich's variant has no page on this site (there is Victorian Chess https://www.chessvariants.com/rules/victorian-chess here which is similar but with the Archbishop in the Queen's position)
Okay, I have added David Paulowich as an inventor of this game.
I was familiar with Paulowich's Victorian chess of course, but I have never seen an article with the setup that I proposed here. In any case, I was modest enough not to call this variation by my humble name or to attach my name to this variant. After all, this is Capablanca's chess, or rather Carrera's, not mine. I just offered this setup to the owner of Pychess.org, and he really liked it, so it can now be played there and it's the only thing that I really wanted. I only guess that Paulowich didn't believe in this setup enough if he didn't bother to write a single article about it. So, writing this article is my humble contribution, that's all. Btw, it is really unfair that all these variants on 80 squares with traditional pieces plus Archbishops and Chancellors don't bear Carrera's name because he is a real father of this chess. Inventing setups is much easier, right?
Carrera certainly deserves more credit than Capablanca, but I think the basic mistake is to use 'Capablanca' in the name for variants with a setup that is different than the one Capablanca suggested. Most of these variants have their own name, which neither refers to Capablanca nor Carrera: Bird, Schoolbook, Embassy...
It could have been called just 'Conservative Chess' but I wanted to make clear about the family to which it belongs. I could have also called it 'Conservative Carrera Chess' but for some people, it wouldn't be clear enough. Doesn't really matter. What I like is that people already play it. Yesterday someone created a game of CCC at Pychess.org and I accepted it and somehow even won.
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I added links to the mentioned games, and I added the name of the game that is not simply named for its inventor. For those who might be familiar with Capablanca's Chess but not with Capablanca Random Chess, it may be worth mentioning that castling works as it does in Fisher Random Chess, not as it does in Capablanca's Chess. As those without any familiarity with Capablanca's Chess may expect, castling works by moving the King two spaces toward the Rook, not three spaces, which is the rule in Capablanca's Chess.