Thread: "Flatland 3^3 and steps toward physical 3^4"

Hi, MC4D,

I'll be taking a few weeks' break from blocks + magnets + puzzles. But,
before I wander away for a while, I thought I should checkpoint my
progress toward realizing a workable physical 3^4 using a ROIL moveset.
I'm pretty optimistic about it.

The first two videos cover the flatland 3^3, and the third shows my very
rough draft of a physical 3^4. Both of them make use of a marked-up
cardboard tray that acts as a workspace where I can park pieces of the
puzzle, since I don't have three or four hands.

If you want the super quick version, I'd recommend the last three
minutes of the third video, cued up for you right here --
https://www.youtube.com/watch?v=mj4EteEQ3Kg&t=450s

Or if you'd rather take your time and see it in order, here is the full
25 minute demo sequence starting in Flatland.

17 flatland 3^3 intro 9m34s https://youtu.be/Xy7C0kTIx4A
18 flatland 3^3 continued 4m22s https://youtu.be/UCo4dphc3RM
19 phys 3^4 very rough draft 10m22s https://youtu.be/mj4EteEQ3Kg


Catch you later!

Marc

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Congrats!! Thanks for the detail. I've been meaning to give it a try some
time!

On Fri, Aug 11, 2017, 6:18 AM zhulama@gmail.com [4D_Cubing] <
4D_Cubing@yahoogroups.com> wrote:

>
>
> OK, I just solved the 5D cube myself (3^5)!
> I used MC7D, and used a feature to only show cubies that I was currently
> solving (plus 1 and 2-color cubies)
>
> The most important thing to understand is that the whole 5D cube has 10
> faces, each face is a tesseract.
> You can do 3 "normal" 3D cube moves on each face and you can also do 3 4D
> moves on them so the total number of possible twists on a face is 6!
> What does it mean to you? Well, you can treat every 5D cube face exactly
> like it's a normal 3D cube, but each of those cubes have has extra pieces
> inside them. You can get those extra pieces "out" by doing 4D twists.
> Multi color pieces are shared between more faces so you can get those
> "out" by doing a 4D twist on any face that contains the piece you need!
>
> I used the simplest step by step method that I could think of, I used the
> same for my 5^4 cube solution:
>
> 2-color cubies were solved by hand and a single macro to swap out cubies
> that were "inside"
>
> 3-color cubies
> ->Macros: Cycle 3 corners, Flip two corners, Twist one corner
> -first solve one whole tesseract
> -then solve the whole opposite tesseract
> -then solve "what was left" in the middle. This took some prep-moves (F1,
> prep move, F2, macro, F3), but that's amazing feature of MC7D, just like =
in
> MagicTiles!
>
> 4 color cubies
>
> ->Macros: Cycle 3 corners, Twist 2 corners, Flip 1 corner <2 and 2 colors
> flipped>, Flip 2 corners .
> all 4 color macros were made by chaining 3 color macros (and making moves
> in between)
> ...the last macro is like a 5D move and by pure chance, I very quickly
> made macro for it by using old 3-color flip macro.
>
> -first solve one whole tesseract; all algorithms were just for the outer =
8
> corners and then prep moves were used to "get" all the necessary pieces.
> After first 8 corners were solved, I did a 4D twist to put the solved one=
s
> in and unsolved out to solve those. It had to be done 4 times (Solve the
> outside and then 3 "rings" inside)
> -then solve the whole oppisite tesseract via the same procedure
> -then I realized that I can make a two 4D moves; one on any of two
> opposite tesseracts that were not solved yet, it was possible to solve wh=
at
> was left without doing any more "4D moves" and just using 4 color macros.
>
> 5D colors were perhaps the easiest because once the macros were done, I
> almost never had to twist the cube by hand anymore. The longest algorithm
> was 16624 moves (a lot of chained 4D algorithms from before)
>
> ->Macros: Swap 4 corners (two and two), Swap 3 corners, Cycle 3 corners, =
Twist
> 1 corner, Flip 1 corner inside-out
> The first two macros I call "swap" because they swap outer and inner
> corners!
> all 5 color macros were made by chaining 4 color macros (and making moves
> in between)
>
> -first I used Swap 4 corners and Swap 3 corners macros to put all the
> "small stickers" to a correct "side" as necessary (9th and 10th color), u=
se
> "Highlight by color" to show only 9th or 10th color pieces and simply swa=
p
> them around until done, only needed a minute or two for this.
> -then I used Cycle 3 corners to put the all the cubies in correct place
> -then I used Twist 1 corner and Flip 1 corner to correctly orient each
> corner. The ability to do fix each corner without touching anything else
> made everything much, much easier.
>
> Next step is solve 3^6.
>
> p.s.
> If I solve 3^6, where do I send the log file? MC7D site was last updated
> in 2013; has nobody solved 6D+ cubes since 2013 or is the site not
> maintained anymore?
>
>=20
>

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Congrats!! Thanks for the detail. I've been meaning to g=
ive it a try some time!