254 karma · joined August 20, 2007
Two random squares being swapped isn't really something that happens in real life. But abstracting that, you'd notice as soon as you've placed the piece one of them is on, which is kind of hard to predict in general, it'll really depend on where it is wrt which side you started from.
What does happen in real life is two pieces ("cubies") getting swapped, say after assembling back up a popped cube. Using CFOP, you'd notice the inversion itself one sequence before the end, though you might notice the fact they're not oriented properly one sequence before that.
For more swapped pieces, (theory ahoy) there's two cases. Odd number of swaps: they're all equivalent to the case above. Even number of swaps: equivalent to no swap at all. Interestingly, you can cancel out an edge piece swap with a corner piece swap.
I hinted at it above, and it's related: no need for swaps, you can make the cube unsolvable by flipping an edge or rotating a corner in place. A CFOP solver would notice two sequences before the end. Edge flips cancel each other out by pairs; corner twists cancel each out by triplets of the same orientation. Contrary to swaps, there's no catching up a flip with a twist.
In all cases, almost-solving them is just a gasp of surprise away from solving an untainted one.
Cf http://trillian.mit.edu/~jc/humor/ATT_Copyright_true.html or https://twitter.com/rob_pike/status/966896123548872705
What is the difference between USA and USB? One connects to all of your devices and accesses the data, the other is a hardware standard.
Sometimes people are the problem. Of course they're just names and have no incidence whatsoever on the relevance of a project. Until they do. For terrible reasons.
I'm afraid I'm tempted to dismiss this as anecdote. This is one personal experience. That seems quite personal. That seems far more family-related than church-related.
> Its been my experience that most people who are devout enough to go to church are exactly the "convert or leave" type. Church is a very tribal place.
Not around here. Feels weird to "defend" it, I can't even remember when I actually last attended a service.
> Not to mention that the type of people who want to spend their time doing church activities are people I find horrifically boring and have ZERO common ground with.
Can we agree on the fact this has nothing to do with the initial controversy that churches would be unwelcoming to atheists? This only describes atheists' (well, yours, but you seem to intend to represent a global viewpoint) likely aversion to churches.
> May be less so if you're male.
I wish we didn't live in a world where this came up so often, but ok, now I'm this deep in the debate I will bite: what's this got to do with anything? Personal/local trivia or something deeper?
The best explanation of why three I was ever given hinged on "it's the number-of-phases argmin for the needed volume of wiring".
So I might agree actually on the "bigger", but the "noticeability" does have a lot to do with the general feeling.
(to be clear, I agree with all of your comment)
A BFS is a few seconds, but modeling a Rubik's cube properly in a way a daughter would understand is... harder.
Assuming you mean real life cubes, the most common [1] method to solve anything bigger than 3×3×3 is to first reduce to 3×3×3, then solve as a normal 3×3×3 using outer slice turns. On even-sided cubes, that reduction process is sensitive to a number of so-called "reduction parities", meaning in a nutshell that you might be recreating edges [2] in a configuration that isn't possible/solvable on a 3×3×3. This can't happen with odd cubes, because the center piece on faces and edges disambiguates from the start.
So really, most of what you need to know about solving big cubes is there on a 4×4×4, and not on a 5×5×5. To make it fully pedantry-proof [3], you need to know standard methods for both 4×4×4 and 5×5×5, both of which already require solving a 3×3×3.
[1] There are alternate methods that are actually used for 4 or 5 and don't have the "parity weakness", but they don't scale well enough to anything bigger.
[2] Or, obviously, faces, but in real life reducing faces in a valid configuration is considered a prerequisite.
[3] It kind of depends on who you ask whether or not the reduction methods are "the same" moving from 4×4×4 to 5×5×5. They're a direct extension, but they do involve pieces with no counterpart.
For all I know, it's entirely possible a misunderstanding/reappropriation of a foreign phrase could be it.
So I'm surprised at the following part of your comment:
> There is no reason to use perl in situation when awk kicks its butt with clearer, shorter code free of distracting author and other line noise
In my experience, the shorter ask code tends to be the one with sigils.