Although I didn't make the time to calculate

the probabilities that Lid requested for PLL parities, just seeing

his complete PLL parity page that he linked to in that probability request post and seeing that

Michael Fung's website is down (

here's a saved version on web.archive where you can still actually download all of his documents, amazingly), I thought it would be about time to add the remaining (missing) PLL parity cases to the

4x4x4 parity algorithms wiki page.

I will grab algorithms from Lid's site, Michael Fung's PLL parity document,

Frederick Badie's, and perhaps make some of my own. If anyone else has made some algorithms for these cases, please post them or a link to them here, or pm them to me. As always, I will give credit where it is due.

[HR][/HR]Now, my question is, what should the case images be? I have modeled a corner swap and a 3-cycle of edges case and modeled it in 5 different ways, and I grabbed Lid's case image (#6).

**Note that I will make the case images the same size as the images currently on the wiki. So don't let the ***size* dictate your decision, but rather the "design" itself.
In order to be consistent with the case images that I have put on that page, I give my voters the option to choose from #1-5 (because I want the last layer to be the white face, in order to be consistent with the rest of the case images on that page).

Note that I colored the corners which are to be swapped dark gray, and the dedges which need to be cycled medium gray.

**Should I NOT include arrows, I will mention in which direction they need to be cycled in order to be solved.**
(So images #1-5, which are currently without arrows, could be easier to pick a case than with arrows, because only the three gray dedges either need to be cycled clockwise or anticlockwise, which is something that can be stated above the case image.)

So, please tell me which case image (out of #1-5) you like, and by looking at Lid's (#6), if you think it still needs permutation arrows or is sufficient as is?

[HR][/HR]In addition, may I ask if it is necessary to include case images to all cases? That is, is it necessary to include case images to cases both which the three dedges need to be cycled clockwise and anticlockwise, or is one sufficient, knowing that all you need to do is take the inverse of the given algorithm to solve the inverse case?

I am more in favor of not including

*all* cases because I did not for either of the 4-cycle of dedge or 4-cycle of wing edge cases on that page (it's LONG enough as it is), but I thought I would ask this as well.