Date: 16 May 1982 21:24-EDT From: Richard Pavelle
Subject: 4 x 4 x 4 = C^4 To: CUBE-LOVERS at MIT-MC cc: RP at MIT-MC I played with C^4 and I conjecture that the tools from C^3 are sufficient to solve it. I have not completely finished it but I think it is just a matter of time. One transformation I use repeatedly, in generic terms, is S = top 180, 2nd slice up or down, top 180, 2nd slice down or up. This is the verticle slice which is facing you. This is just the move in C^3 to move 3 edges in a plane whereas in C^4 the outcome is far more complicated. The steps for C^4 are then 1) Align the centers with a map. Some use of S is necessary. 2) Do all corners as in C^3. 3) Use S repeatedly to position the edges and this is very laborious. 4) Use the C^3 edge flip (Rubik's transformation) to finish it off. After several hours of C^4 I find C^3 looks like a toy.