Message #3649

From: Christopher Locke <project.eutopia@gmail.com>
Subject: Re: [MC4D] Re: Physical 4D puzzle achieved [1 Attachment]
Date: Sun, 12 Feb 2017 19:23:21 -0800

Melinda,

Yes, that looks like a correct twist of the +y hyperface about the +z
axis! If the colors are labelled: (-x brown, +x purple, -y gray, +y
black, -z light blue, +z green, -w blue, +w red), then that 90 degree
twist should move those middle 8 physical cubies around in a 90 degree
twist just like you did, and the x/w stickers should move blue -> purple
-> red -> brown. From step 3 to 4, I take it you did a 120 degree twist
about a diagonal axis that goes through the center of each cubie and the
total center of the physical puzzle (where black stickers are)?

By the way, was the magnetic orientation okay after doing those twists?
In the video move I pointed out (https://youtu.be/Asx653BGDWA?t=1410),
you had problems doing some twists after the double inversion due to
magnet positioning.

Best regards,
Chris

On 2017年02月12日 17:55, Melinda Green melinda@superliminal.com [4D_Cubing]
wrote:
> [Attachment(s) <#TopText> from Melinda Green included below]
>
> Matt,
>
> Christopher’s messages were a bit to opaque to me but I’m starting to
> get the gist. It’s good to know that this 90 degree twist is a valid
> move though it’s unfortunate that it’s far from pure. These almost
> look like gear-cube twists now. I even think I can guess how the
> orientations are supposed to end up after the appropriate
> reorientations of the black pieces. (Alternating CW and CCW twists of
> each piece about their black stickers.) I’ve attached a sequence of
> snaps showing the process. (Also here
> <http://superliminal.com/misc/twist90cp.jpg> in case the attachment
> doesn’t work.) The second snap shows the twist in progress. The third
> shows it completed, with me holding it in place against the magnets.
> You can see what I mean about the puzzle looking completely scrambled
> by this one twist. The fourth snap shows it with all 8 of the twisted
> pieces reoriented. The interesting thing is how it results in a much
> less scrambled looking puzzle.
>
> Christopher,
>
> I hope the photos helped. One interesting to note is that the end
> result of the sequence (plus a simple rotation) resembles the result
> of the double swap you highlighted in the video
> (https://youtu.be/Asx653BGDWA?t=1410) so maybe there’s hope for a more
> practical way to reach the full 2^4 state space.
>
> Thanks!
> -Melinda
>
> On 2/12/2017 3:46 PM, damienturtle@hotmail.co.uk [4D_Cubing] wrote:
>
>
>