uberCuber
Member
Oh good, so it wasn't just me who was looking at that expression and having no idea where it came from :confused:
Sorry, but I don't understand this... surely it would be (3/4)^6? Our answers aren't far from each other, but I just don't see how it can be anything else.
This gives me an idea. I am double posting because I think this one deserves its own post. Here are two more fun questions:
Question 1) Fully Scramble a 3x3x3 supercube. Solve the corners and edges paying no particular attention to the orientations of the centers. Now perform one random quarter turn on an outer slice of the cube. What is the probability that none of the centers are in their correct orientations?
Question 2) Fully Scramble a 3x3x3 supercube. Solve the corners and edges paying no particular attention to the orientations of the centers. Now perform one random quarter turn on an outer slice of the cube. What is the expected number of correctly oriented centers?
This gives me an idea. I am double posting because I think this one deserves its own post. Here are two more fun questions:
Question 1) Fully Scramble a 3x3x3 supercube. Solve the corners and edges paying no particular attention to the orientations of the centers. Now perform one random quarter turn on an outer slice of the cube. What is the probability that none of the centers are in their correct orientations?
Question 2) Fully Scramble a 3x3x3 supercube. Solve the corners and edges paying no particular attention to the orientations of the centers. Now perform one random quarter turn on an outer slice of the cube. What is the expected number of correctly oriented centers?
I think the 43 quintillion. combinations don't include spun centers. I'm basing that on the fact that they don't change anything on a Rubik's cube and the equation doesn't take it into account.
You guys are absolutely correct. In fact, there are (click me) solved positions for the 2x2x2 through 11x11x11 cubes, for example. The cubes which have stickers on the centers which makes them distinguishable (big cube centers) or helps you tell if they are rotated (fixed centers, like those on the 3x3x3) are called supercubes. So the answer to your question is 2048 (although 2048 is not counted as part of the 43 quintillion).
This is kind of a weird question, but one that's been bugging me. I remember having a smiley face cube a long time ago, and I solved it, but, the centers were twisted upside down on 2 of the faces. I could never fix it, so it looked kind of goofy. If that were a standard cube with plain stickers, that would be solved. So I'm wondering how many solved possibilities there are among the 43 Quintilian possible permutations. If it's only one, then what about those other times when the centers might be twisted?
Yesterday i got 3 Z perms in a row. Probability: 1/46656, but i think something was just wrong with my scramble generator or something.
There's also just lot of improbable events in cubing, and if you do enough solves, something improbable has to happen eventually.
You're preserving phasing, so the relative probabilities of the outcomes are the same as the probabilities of the EPLLs without including U perms.If I always use phasing (with ZZ), and after I use COLLs taken from ZZLLs, wich is the probability of a PLL skip? Thanks!
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