I have recently discovered the Rubik's tesseract, and found that a large number of the sequences of moves that I used to use to solve the basic 3x3x3 cube were...
... This sounds plausible, except there are 24 possible orientations of a cube (not 6) so this number should be (24^8)/2 instead of (6^8)/2, I think. Don -- ...
Don Hatch
hatch@...
Sep 8, 2003 9:25 pm
36
... By making that change, you're causing a fundamental change in the underlying rules of the puzzle, perhaps almost as radical as extending from 3 to 4...
... you wouldn't need to "mark the center" in any special way. mark's picture cube would "mark" (i.e. orient) all stickers equally and in my mind is a...
... This change is not fundamental at all. The possibility of paying attention to the orientation of the face cubies was recognized very early on with Rubik's...
Thinking further, it is also clear that only the pieces which are common to 3 or 4 cubical faces have their positions absolutely fixed by their colours alone....
... "Fundamental" isn't the best word for what I think I was trying to get at. I shouldn't have reacted without reading the whole thread. All I was trying to...
... I would argue that asking for a stringent orientation requirement is not changing the goal of the game, but rather refining/extending it. One of the great...
... I think there may be a slight ambiguity in the above which I would like to understand properly. There are two sorts of relevant orientation issues for a...
... Yes, there are two types of orientation, which could be classed as "visible" and "invisible" (on a uniformly coloured tesseract). A cubie sharing 2,3 or 4...
... i don't know if you included this but i suspect there may be a 3rd type of ambiguity found in puzzles with more than 3 cubies along an edge. for example...
... type ... for ... positions. Certainly, as the cube gets bigger, there are more orientation problems. The fact that the 3x3x3x3 cube is uniformly coloured...
... and then there's the "very invisible" orientation and permutation issues: that is, the orientations and permutations of the 0-sticker cubies (i.e. internal...
Don Hatch
hatch@...
Sep 13, 2003 8:23 pm
49
... Yes, but these can be ignored for the 3^3 and 3^4 cubes. In the 3^3 cube, the orientation of the 0-face cubie in the centre is fixed by the 6 1-face cubies...
Hello, This email message is a notification to let you know that a file has been uploaded to the Files area of the 4D_Cubing group. File :...
4D_Cubing@yahoogroups...
Sep 21, 2003 9:15 pm
51
They butchered the 3D number, they doubled the 2 somewhere.... a long time ago I decided to memorize that number, don't ask. I don't want to check, but ...
Sorry about resurrecting the thread; I didn't check the group in a while and missed out on this interesting discussion. I am pretty familiar with the center...
I fully agree that the fundamental constraints I discussed are algebraic rather than mechanical. That the cubes can be constructed physically merely (! -...
... which direction it should be pointing, and doing so reduced the number of possible solutions down to 1 from a total of (46)/2). ... By making that change,...
... OK I finally got around to thinking about this (and playing with my 5^3 cube since I couldn't find my 4^3). Let's pretend that my missing 4^3 cube is...
... I find this argument rather bizarre. The underlying rules of the cube are that you can rotate its faces and scramble it up. The goal of the cube as a...
... So did I. Oddly, Jay had posted the same comment back in September: http://groups.yahoo.com/group/4D_Cubing/message/36 At that time, I disputed his...
... It seemed so familiar that I checked to make sure I wasn't replying to an accidental double post. Anyway, let u f r d b l refer to clockwise quarter turns...
... Gah, I just forgot to write down a d2. Here is a sequence which shows that our group G contains all even permutations of the internal cube's corners. I...
Hey all, I ran across this 3D minesweeper game and immediately thought of this group. Thought I'd post some linkage for you. Watch out though, the sounds are...
Hi! Latest solver of MagicCube4D, the 3x3x3x3 version, here. Name's Matt Young, 30 years old, from California. Since most of the info Melinda Green asked me...
Congratulations! Welcome to the group. I've been trying to wrap my head around a layer method for some time now, though I haven't played with it in a long...
Hello, I am Jesse Thompson, proud to join your prestigious group :) I haven't solved the cube yet but I'm working on it. I promised myself I wouldn't post...
welcome jeff! it was by intent that the default colors are very unlike the original 3D puzzle. that's because we once got a cease-and-desist letter from the IP...
Okie I've thrown it in the files section, along with a short disclaimer :) What type of criteria did the patent folks lay down, if any? I'll take another poke...
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