# Message #3787

From: Melinda Green <melinda@superliminal.com>

Subject: Re: [MC4D] Re: One way to solve the 5-D cube

Date: Sun, 13 Aug 2017 12:28:37 -0700

I just notice that Zlatko asked about the higher-dimensional HOF now that Andrey is gone. I’ve taken them over and you’ll find the latest records under the particular puzzles listed here: http://superliminal.com/andrey/ You can send new ones to the same address as for MC4D.

-Melinda

On 8/13/2017 8:02 AM, Ty Jones whotyjones@gmail.com [4D_Cubing] wrote:

>

>

> 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 <mailto:zhulama@gmail.com> [4D_Cubing] <4D_Cubing@yahoogroups.com <mailto: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 <only 2 colors flipped on each corner!>.

> 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 ones 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 what 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), use "Highlight by color" to show only 9th or 10th color pieces and simply swap 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?

>

>

>

>