So, after doing a lot more work than I initially expected, we've conclusively determined this: There are official, if hypothetical, chess sets where knights do, in fact, jump. (So that was several minutes of my life wasted on calculations that don't matter in the slightest. The knight can try to get between the immobile king and one of the almost-immobile queens, but there's no way you can fit a 3.3-cm-wide base into a sqrt(26.6778125)-4.8375-cm-wide gap (approximately 0.328 cm). It may seem like this makes our rule set flawed, but I'm just gonna pretend that this situation doesn't exist by rounding the diameter down to 5 cm, a healthy ~47.8% of the king's height. With bases of 4.675 cm and 5.225 cm respectively-wait, what? 5.225 cm?! So it turns out that kings are technically allowed to literally be wider than the square on which they stand. Similarly, we can get 9.35-cm queens and a 10.45 cm king in this way. The diameter of the base can be between 40% to 50% of the piece's height using a 50% figure, the diameter of this base would be 3.3 cm. Here, the Handbook recommends 6 cm, but up to 10% variability is allowed, so let's go with 6.6 cm. Let's use 5 cm as a conservative figure.įrom that point, we move on to the knight itself. The Handbook specifies a per-square width of 5 to 6 centimeters. One of the first things we're going to want to start with is the board itself its size will determine how much breathing room we can give our pieces. It should be obvious why I'm not using several kings: First of all, the rules of chess literally prevent this from happening, and secondly, you would need three kings for the effect to be felt anyway, which is impossible as well. Let's say that the pieces all start in the exact center of their squares, but that the knight is, in fact, allowed to push pieces around as it moves, with the caveat that no part of any pushed pieces may leave their respective squares. No part of its base can never leave the 64 squares comprising the chessboard (which also eliminates the possibility of the knight simply sliding off and back onto the board and getting to its destination that way). Okay, so the rules are that a white knight has to get from a1 to b3 without jumping, maneuvering past two white queens on a2 and b1 and one white king on b2. This should be quite useful after all, it can provide us with an official set of numbers with which we can definitively calculate the correct result. And the thing is, they have a set of standards for chess pieces to use in tournament play, found in the FIDE Handbook, Section C, Part 02. RulesįIDE is the regulatory body on the game of chess. It's an argument that hinges on unclear predicates.
You could, say, construct a chess set with really large pieces and argue that the knights can't fit through the other pieces, which would then mean that they would be forced to go over. That's just with the personal chess set I have at home. Knights jump over other pieces.Ī video of an experiment I conducted back in early August 2021 demonstrates the effect: From such a position, using careful maneuvering, knights can simply go between pieces.
I mean, it's basically ingrained into our heads: Knights can move past any potential obstacles. And knights' moves cannot be impeded by any other pieces. Every chess player knows that knights can move to any of the nearest squares not on the same rank, file, or diagonal. Hey, r/Anarch圜hess! u/SavingsNewspaper2 here. This post is a sequel to the following post: “Knights jump over other pieces” This post is best read using the voice of Michael Stevens, except with a gradual transition into that of jan Misali instead when I begin to delve into the FIDE Handbook, and then just as a generic rambling Internet post, except maybe still with some jan Misali, since this seems right up their alley. This conclusion is subject to interpretation based on people possibly disagreeing the rule set I provided, what counts as a chess set, and what counts as jumping.
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