To anyone contemplating an assault on the 5-D cubes, these following=20
points may be useful.
Firstly, the one thing you will need is patience (and/or an=20
understanding partner!). It took me many months from start to=20
finish, and my wife was amazing in her support for me in all this.=20
[I owe her so much in even being able to complete the cube, and=20
write this summary of my experience. So thank-you sweetheart for=20
everything.]
I couldn't have tackled the 5-D cube without feeling at least a=20
little familiar with the 4-D version, and this in turn I could never=20
have conquered without Roice's excellent step-by-step solution at=20
http://www.superliminal.com/cube/solution/solution.htm
So as a warm-up I suggest first working through Roice's solution=20
step by step. (This will also extend the 4-D Hall of Fame list as=20
well!)
Second, two invaluable features of the 5-D cube are the means to=20
hide and show each hyperface, and also the means to highlight the 2-
sided up to the 5-sided hypercubies. I ended up hiding the +U, -U=20
and +V faces, and setting the parameters of the 5-D version to give=20
a representation similar to the 4-D cube projection. This I found=20
workable, whereas other settings made everything too confusing.
I also spent several weeks trying twists along different axes, to=20
get familiar with where things move to when a hyperface is turned.=20
Generally the X-Y-Z directions made sense, but I never quite felt=20
the U-V directions were as easy to follow. Still, it turned out this=20
was not essential.
For the solution itself, my approach was to start with just the 2-
sided pieces visible, and start by trying to correctly house these.=20
Again, experience with Roice's solution paid off, and this step was=20
fairly smooth. (It is also a huge confidence boost :)
Next, I could then 'turn off' the 2-sided pieces, and highlight just=20
the 3-sided pieces. This approach made it easy to work on each set=20
of pieces one by one i.e. 2-, then 3-, then 4- then 5-sided pieces;=20
each as a separate problem.
I ended up making some macros for the 3-sided pieces, and I stumbled=20
on these more or less by accident. I am very embarrassed to admit I=20
didn't write anything down at this stage, but if it is possible to=20
access the individual moves in the saved macro (is it Roice?) I will=20
happily forward these. Anyway, I had macros that would move three=20
pieces around, or flip 2 or 3 at a time: these I called a 'minimal=20
toolkit', and one by one it proved possible to house all the 3-sided=20
hypercubies using the toolkit in this way. Again, patience proved to=20
be essential here.
By chance, none of the macros moved any pieces in the +U and -U=20
hyperfaces, so my strategy then became to first house all the 3-
sided pieces in the red hyperface, and then the green hyperface=20
(opposite the red one). Once these were complete, I moved them into=20
the +U and -U positions and `forgot' about them while I worked on=20
the rest of the pieces.
It then proved possible to adapt the 3-sided piece macros to move 2=20
or 3 of the 4-sided pieces, while leaving everything else intact.=20
For the 4-sided pieces I followed the same approach as with the 3-
sided pieces i.e. I completed the red then the green faces, and=20
moved them into the +U/-U positions to finish off the remaining 4-
sided pieces in the other hyperfaces.
The final set of macros I developed allowed me to rotate and/or flip=20
3 of the 5-sided corners. By now each set of macros was built on=20
ones from the previous 'level', and so these had become very big=20
sequences: there would even be a delay of a few seconds while the=20
software worked its way through the (? many hundreds of) individual=20
moves. Still, all this ended up with every piece correctly housed,=20
but right at the end I had a single 5-sided piece flipped. Clearly=20
this needed to be corrected for the cube to be completed.
There is a message that pops up once the cube is solved, and this is=20
a lovely touch. Perhaps I won't expand on what it says here (I don't=20
want to spoil the surprise after all) but to the author of that=20
message (Roice again): excellent job!
I am happy to expand on any of these points if anyone is interested,=20
and then all that this leaves for me to say is Good Luck!
--94eb2c14983cd01bbf0554c7a6da
Content-Type: text/plain; charset="UTF-8"
Congrats on the solve! Do the 4^7 next (just kidding...maybe the 4^5 though
^_^)
For the 4C issue, was it the case that another piece was unsolved but you
didn't see it when you asked for help?
Ray
--94eb2c14983cd01bbf0554c7a6da
Content-Type: text/html; charset="UTF-8"
Content-Transfer-Encoding: quoted-printable
Hi, it's Marc with some progress to report. I'm having a huge amount
of fun trying to figure out the physical 2^4!
First, as an appetizer, a photo of three of my wood-block constructions
posed with Melinda's 3D printed puzzle.
http://superliminal.com/cube/misc/03%20first%20three%20wood%20block%20puzzles.jpg
For the main course, I have a demo to present to you: a "sticker based"
physical 2^4 puzzle that I built, consisting of 64 one-colored cubes
that can be manipulated in 3-space in much the same way that MC4D's 2^4
hypercube appears to cause its 64 cubical stickers to fly around its 3D
workspace. Then, it can be reoriented to act more like Melinda's
physical 2^4 puzzle.
Three five-minute videos tell that story. Then, a bonus fourth video:
by analogy, I built a sticker-based Flatland 2^3, a game with 24
one-colored tiles on a table that emulates the 2^3 cube.
08 sticker based phys 2^4 intro and cross 5m15s
https://youtu.be/4d0K3prtd7k
09 sticker based phys 2^4 oriented around two faces 4m36s
https://youtu.be/a90NLdJQQSw
10 sticker based phys 2^4 reorientations 3m36s
https://youtu.be/SSsWQnE-5Gk
11 sticker based flatland 2^3 5m09s https://youtu.be/X5RVruSuPkA
I hope this can spark a few ideas for you.
Cheers,
Marc
--------------F7C838586F1911D11680D0A5
Content-Type: multipart/alternative;
boundary="------------2EA70D36BA175DA4637968D8"
--------------2EA70D36BA175DA4637968D8
Content-Type: text/plain; charset=utf-8; format=flowed
Content-Transfer-Encoding: quoted-printable
Hello Max,
I just happened to notice your into again and realized I wanted to mention =
a few things. First, where do you live in CA? I'm in the SF Marina district=
. Second, you're the first person to even mention the words furry or vaping=
on the mailing list, so congratulations on breaking new ground! I'm a ligh=
t-weight stoner myself and consider myself a furhag. I'm not furry myself b=
ut I'm trans and think they're adorable, and am always hugely protective wh=
enever someone puts them down in the slightest way. See my favorite snap at=
tached.
Love,
-Melinda
On 1/15/2017 12:37 PM, maxsroe@gmail.com [4D_Cubing] wrote:
>
>
> I had just finished the 3x3x3x3 the other day, #302, very proud of such t=
hing. I did not follow Roice's method, nor did I use macros, mostly on acco=
unt of not really understanding or getting either. The method I had develop=
ed was a shell-by-shell method that reduced each shell down into a 3x3x3 an=
d solved them each independently. I quickly realized that this would get me=
nowhere fast, so I changed it a little and used a keyhole to solve the sec=
ond shell, place and orient the last shell's face pieces, and then orient t=
he last shell pieces. I then finished up the first shell and solved the las=
t shell like a regular 3x3x3 while rotating the first two shells so to them=
, only one face was being turned each time. I did hit a parity in the end, =
the last shell was twisted 180 relative to the other shells, so I did an OH=
H-perm followed by two E-perms to fix the issue. I'm 25, living in Califor=
nia, I like cubing for the various methods that are out there (heise is my =
favo rite) I am=20
> in the furry fandom and enjoy vaping. I work retail and wish to become a =
game developer. As for the 4D puzzle, it's definitely a fun puzzle to solve=
, and I'm currently working on refining it for a possible beginner's tutori=
al for the 4D rubik's hypercube. I also think that the face definitions cou=
ld use a little work, unfortunately, I am not sure how to articulate this w=
ith words alone. Anyway, I do hope to see that hall of fame expand more and=
more!
>
>
>
>=20
--------------2EA70D36BA175DA4637968D8
Content-Type: text/html; charset=utf-8
Content-Transfer-Encoding: quoted-printable
I had just finished the 3x3x3x3 the other day, #302, very
proud of such thing. I did not follow Roice's method, nor did
I use macros, mostly on account of not really understanding or
getting either. The method I had developed was a
shell-by-shell method that reduced each shell down into a
3x3x3 and solved them each independently. I quickly realized
that this would get me nowhere fast, so I changed it a little
and used a keyhole to solve the second shell, place and orient
the last shell's face pieces, and then orient the last shell
pieces. I then finished up the first shell and solved the last
shell like a regular 3x3x3 while rotating the first two shells
so to them, only one face was being turned each time. I did
hit a parity in the end, the last shell was twisted 180
relative to the other shells, so I did an OH H-perm followed
by two E-perms to fix the issue. I'm 25, living in California,
I like cubing for the various methods that are out there
(heise is my favo rite) I am in the furry fandom and enjoy
vaping. I work retail and wish to become a game developer. As
for the 4D puzzle, it's definitely a fun puzzle to solve, and
I'm currently working on refining it for a possible beginner's
tutorial for the 4D rubik's hypercube. I also think that the
face definitions could use a little work, unfortunately, I am
not sure how to articulate this with words alone. Anyway, I do
hope to see that hall of fame expand more and more!
=20=20=20=20=20=20
Congrats!! Thanks for the detail. I've been meaning OK, I just solved the 5D cube myself (3^5)!
--------------5282A4EA60F051405059E21F
Content-Type: text/plain; charset=utf-8; format=flowed
Content-Transfer-Encoding: quoted-printable
I just notice that Zlatko asked about the higher-dimensional HOF now that A=
ndrey is gone. I've taken them over and you'll find the latest records unde=
r the particular puzzles listed here: http://superliminal.com/andrey/ You c=
an 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
> 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 curren=
tly 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 exac=
tly like it's a normal 3D cube, but each of those cubes have has extra piec=
es 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 cub=
ies 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 li=
ke in MagicTiles!
>
> 4 color cubies
>
> ->Macros: Cycle 3 corners, Twist 2 corners, Flip 1 corner <2 and 2 co=
lors flipped>, Flip 2 corners
> all 4 color macros were made by chaining 3 color macros (and making m=
oves in between)
> ...the last macro is like a 5D move and by pure chance, I very quickl=
y made macro for it by using old 3-color flip macro.
>
> -first solve one whole tesseract; all algorithms were just for the ou=
ter 8 corners and then prep moves were used to "get" all the necessary piec=
es. After first 8 corners were solved, I did a 4D twist to put the solved o=
nes in and unsolved out to solve those. It had to be done 4 times (Solve th=
e 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 op=
posite tesseracts that were not solved yet, it was possible to solve what w=
as 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 algorith=
m was 16624 moves (a lot of chained 4D algorithms from before)
>
> ->Macros: Swap 4 corners (two and two), Swap 3 corners, Cycle 3 corne=
rs,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 m=
oves 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), us=
e "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 pla=
ce
> -then I used Twist 1 corner and Flip 1 corner to correctly orient eac=
h 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 upda=
ted in 2013; has nobody solved 6D+ cubes since 2013 or is the site not main=
tained anymore?
>
>
>
>=20
--------------5282A4EA60F051405059E21F
Content-Type: text/html; charset=utf-8
Content-Transfer-Encoding: quoted-printable
">
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:
ey/">http://superliminal.com/andrey/ You can send new ones to the same
address as for MC4D.
-Melinda
cite=3D"mid:CAFv5D4QuVDoTkcfALd3+jjJ1J-y1mdfLEqeg2xLdPObt5xdueg@mail.gmail.=
com">
to give it a try some time!
ama@gmail.com
[4D_Cubing] < moz-do-not-send=3D"true">4D_Cubing@yahoogroups.com>
wrote:
.8ex;border-left:1px #ccc solid;padding-left:1ex">
cubies that I was currently solving (plus 1 and
2-color cubies)
the whole 5D cube has 10 faces, each
tesseract.
"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!
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. Yo=
u
can get those extra pieces "out" by doing 4D
twists.
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!
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=C2=A0
>->Macros:
Cycle 3 corners, Flip two corners, Twist
one corner
>-first
solve one whole tesseract=C2=A0
>-then
solve the whole opposite tesseract=C2=A0>
>-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=C2=A0
>
>->Macros:=C2=A0
corners, Flip 1 corner <2 and 2
colors flipped>, Flip 2 corners
<only 2 colors flipped on each
corner!
al">>.
>
made by chaining 3 color macros (and
making moves in between)
>
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.v>
>
>
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)>
>
>
Swap 4 corners (two and two), Swap 3
corners,=C2=A0
al">Cycle
3 corners,
al">=C2=A0
corner inside-out
>The
first two macros I call "swap" because
they swap outer and inner corners!
>
macros were made by chaining 4 color
macros (and making moves in between)n>
>
>
=A0
corners and=C2=A0
al">Swap
3 corners macros=C2=A0
al">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.v>
>
=A0
corners=C2=A0to put the all the
cubies in correct place
>
=A0
corner
al">=C2=A0to
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=20=20=20=20=20
--------------5282A4EA60F051405059E21F--