Message #3853

From: Luna Peña <scarecrowfish@gmail.com>
Subject: Re: [MC4D] Re: Cuboid parity-esque situation on a {6}x{4} duoprism [2 Attachments]
Date: Sat, 02 Dec 2017 21:40:14 +0000

I did actually attempt a single turn of the central face and then a
resolve, because I had a different set of pieces swapped in the same way,
but I just got back to there. And anyway, wouldn’t the result not be a 5
cycle, but a 3 cycle and a 2 cycle, which is impossible? Or am I missing
something?

I was trying to think if there was some false equivocation somewhere, or
some 4d rotation that could do it, but I can’t think of one.

I can’t check the files right now, but I will tomorrow.

Thanks though. ~Luna

On 2 Dec 2017 21:33, "zhulama@gmail.com [4D_Cubing]" <
4D_Cubing@yahoogroups.com> wrote:

[Attachment(s) <#m_3727043479442679428_TopText> from zhulama@gmail.com
[4D_Cubing] included below]

I didn’t solve this, but I have a feeling that there is no "swap two
pieces" algorithm, only "cycle 3 pieces".
"swap two pairs" is actually "cycle 3" two times…
The biggest issue I see is that you have a single 2-color problem and a
single 3-color problem while everything else is done, 4-color pieces
included! My solving methods don’t allow me to solve this without
destroying the rest of the cube, lol.:D

My gut tells me that this parity issue can probably only be solved by doing
a twist of the middle hex face.
This will make the whole thing have only 1 two-color piece in place and 5
two-color pieces not-in place, then you can solve those five by doing
3-cycle algorithms.
This will screw up all the 3-color and 4-color pieces as well!

…and that’s only for two color pieces, the 3 color parity might be solved
by this, it might not…

I did some "test work", files attached