Message #3891

Subject: Re: [MC4D] Re: Cuboid parity-esque situation on a {6}x{4} duoprism
Date: Sun, 10 Dec 2017 21:06:09 +0000

Hi, Roice.

Well, all the 2 color pieces were long done and all but one 3 color piece was done, the last one was "flipped"; one color was correct and two colors were swapped…

Algorithms I used for 3C pieces at this point were
Twist 1, Flip 2, 3-cycle (multiple versions)
No matter what I did, I couldn’t flip the single piece so I reckoned it must be a parity.

Solution was to make a single turn on a "good face" and then resolve all 2C and 3C pieces that got scrambled.
It was a lot of work, especially because at first, I fixed all the 3C pieces (didn’t even notice that 2C pieces also got scrambled), so I had to make an algorithm that cycled 2C pieces without scrambling 3C pieces!

Puzzle is very interesting, but can be "broken up" and solved step-by-step nicely!
I attached two screenshots of the parity.
Parity1.png is my standard view. I used it 99% of the time and even when I was turning the whole thing around to solve all the sides one-by-one.
Parity2.png is a different view. I was using this only to "fly around" and check if everything is correct, that’s how I noticed that I messed up after resolving parity for an hour…:D
I also attached my semi-fixed parity where you can clearly see the twist I made around the pink 2C piece. All the 3C pieces are fixed there. The problem happened because you can’t even see this error in my "standard view"!