Thread: "Physical 4D puzzle achieved [1 Attachment]"

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



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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
> 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:
>
>
>


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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 ( moz-do-not-send="true" class="moz-txt-link-freetext"
href="https://youtu.be/Asx653BGDWA?t=1410">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:


cite="mid:bc49bbed-9629-3a99-5a46-06900a36a387@superliminal.com"
type="cite">  



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. ( moz-do-not-send="true"
href="http://superliminal.com/misc/twist90cp.jpg">Also
here 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 ( class="moz-txt-link-freetext"
href="https://youtu.be/Asx653BGDWA?t=1410">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, class="moz-txt-link-abbreviated"
href="mailto:damienturtle@hotmail.co.uk">damienturtle@hotmail.co.uk

[4D_Cubing] wrote:


type="cite">













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