Welcome to the Speedsolving.com, home of the web's largest puzzle community! You are currently viewing our forum as a guest which gives you limited access to join discussions and access our other features.

cmowla: Look up some group theory please before you dig yourself any deeper into this hole. The definition of odd and even permutations are quite well-defined and any inconsistency you find will be in your own logic, not in the permutation concept itself.

reThinking: why are you calling it "OLDlucasparity™"?

cmowla: Look up some group theory please before you dig yourself any deeper into this hole. The definition of odd and even permutations are quite well-defined and any inconsistency you find will be in your own logic, not in the permutation concept itself.

I know the difference between odd and even permutations. If there are an odd number of inversions, then it is an odd permutation and vice versa.

I even wrote a ti-83 plus program that solves the LL edges on a 4X4X4 (type in the sequence of the pieces and it returns the moves to solve the LL edges--assuming that the corners are solved already, the program finishes solving the cube).

Given a 4x4x4 cube with all of the 24 edge pieces paired into their 12 respective dedges. Let's just ignore for now, all of the corners and center pieces.

#1) Does anyone know of some simple even#(2,4,6,8,.....24)-cycle algs to permute these edge pieces, that will also maintain the dedge pairing?

#2) Can Acube, or CubeX be used to generate possible algs for this type of problem?

reThinker

EDIT: Can also be any COMBINATION of cycles that permute these edges, as long as the total number of these even cycles is ODD.

I bet you would too. Checked out your sandwhich pages, http://rachmaninovian.webs.com/ This is becoming one of the best (clearest, and most complete) method descriptions for 4x4x4 (5x5x5). The page showing last dedge pair algs was especially interesting, and I saw that you tapped into many of the known good algs for doing those. I have a different method for solving 4x4x4 though, and would like to find better ways to do even-cycle edge perms. Would you likey know the answer for this previous post too? http://www.speedsolving.com/forum/showpost.php?p=294116&postcount=90