After solving the MC5D, I have discovered something a bit strange about permutations. As everyone who read the solution for MC4D know, we can permutate the ...
Hi Lucas, It took me a bit, but I think I'm now mostly following what you are saying here. If I am interpreting correctly, I think what you have effectively ...
Yes, that was what I wanted to say. About the faces not affected (not changing stickers with others) I will compare MC3D (with the called "unreal movements")...
Well, there's a simple way to think of this that I believe I brought up to Roice about a few months ago. The axis of rotation of an a figure in N-space will...
MC2D may not be a proper analogy but it is not a misnomer because a square is definitely a 2D cube. Or if you want to be completely strict, only the 3D version...
... I would agree that, in the context of multidimensional puzzles, a square for MC2D is every bit as much a cube (2-cube, in this case) as is the tesseract...
... David, I arrived at the conclusion that MC2D contains exactly 8 states by simply recording every sticker pattern that I was able to produce using the...
... Melinda, I am sorry; but I am still very unsure about what you mean by a "state". Since the 4 face 2-cubies exist, they give the puzzle a fixable...
David, Do attachments work in Yahoo group messages now? I don't remember but I'm going to try to attach a version of my graph that I just made which should...
So we are saying that MC2D does reflection moves and MC3D simple rotation. What I'm trying to see is if MC4D should have some different type of movement, not a...
I know it's gauche to reply to your own message but I see that attached images get forwarded properly but are scrubbed before before before being saved in the...
Forgive me for asking a question that is only indirectly related to higher dimensional cubing. I'm sure many of you can give me an authoritative answer. The...
Guy, Anything even remotely related to 4D cubing is fair game on this list so don't worry about that. Your question is very interesting and appropriate. It...
Thank you very much for your answer, Melinda. The motion parallax point is interesting but yes, it is cheating as far as answering my real question is...
Guy, When you talk about animals and predator/prey strategies, you are talking about real-world situations and not purely geometric ones, and the difference is...
How many legs would a 4D creature need to walk on a 4D planet. On a 3D world an object neads at least three legs to stand stably. Would that mean that in order...
I don't know about you but I'm able to stand upright in 3 dimensions with only 2 legs. ;-) Seriously though I think you are right that N legs are required to...
Hello everyone,  I just wanted to let everyone know that I have finished counting an upper bound for the number of permutations of an nxnxnxn Rubik's Cube,...
Hello to all of you. I'm Thibaut Kirchner, nearly 21 years old, and live near Paris, France. I'm student in maths and computer science (fifth year after in ...
... required to solve ... question would have a ... less confident I can ... I suggest you to explore the following groups, and their successive quotients...
Hi Thibaut,  Welcome to the 4D_Cubing group! Congratulations on solving the 3^4 cube! I also do speedcubing, but my times are probably not close to yours -...
... Well, if you give a look in the WCA database, you'll see my times at Brussels Summer Open: I averaged at 57 s, which is in fact quite close to your times. ...
Hello! I haven't read the old messages, therefore I don't know if this has already been suggested, and apologize in advance if this is the case, but here is my...
Wow... I never considered that my times would be tournament-worthy! I use a 2-look F2L and a 4-look LL! I could definitely get faster by learning F2L and ...
... In fact, in 3D, we can also switch two corners, but this is the same as switching to edges, since a quarter-turn of a face transfers one parity error on...
Hi Thibaut, Welcome! There are a lot of topics floating around (thanks for the parity writeup by the way), but here I'm only replying about your desire to...
Roice, You already implemented the show-the-cubie-that-goes-here functionality, right? In other words, the compliment to the show-me-where-this-cubie-belongs...
Thibaut, That's a very good suggestion. It wouldn't be a trivial change because we want to support more puzzle types and therefore this sort of feature belongs...
Hi Lucas, Sorry for the very long delay in responding to this. I didn't want to leave the possible issues you raised unresolved in the thread, but hadn't...
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