Thread: "New 4D solver :)"

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Hi, I'm Michael Gottlieb. Some of you may know me from gelatinbrai=
n or from the speedcubing community. I solved my first 4D puzzle a few week=
s ago (although I have been interested a lot longer) and it's certainly a l=
ot of fun. I've already solved 3^4 through 5^4 as well as a few other 4D th=
ings. I haven't used macros in my solves so far (I don't really like them) =
but maybe when I start getting into harder stuff I will have to.

The=
re are a few things I'm wondering about right now, hope there is some inter=
esting discussion...
- Has anyone solved the 8^4 or 9^4? Is it worth try=
ing?
- I found a 13-move sequence on the 3^4 that cycles three 4-colored=
pieces. Does anyone know of a shorter one?
- I've been practicing the 3=
^4 a bunch and I can do it in under 20 minutes. Does anyone here try to fin=
ish 4D puzzles as fast as possible? If so, what kind of times do you get?p>

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Hi Michael,

I think a 13 move sequence to cycle three 4C pieces would be the shortest
we've encountered. I am interested to see it, and I bet others here would
be too!

When trying to solve with a minimum number of moves, it is possible to use
an 8 move sequence to solve 4C pieces. The sequence cycles three 4C pieces
and flips 2 edges, but if you use it in pairs, you can effectively get an 8
move sequence. Here's a message from our archives discussing that (woah,
from 2004!), and it lists the sequence at the bottom:

http://groups.yahoo.com/neo/groups/4D_Cubing/conversations/messages/102

Cheers,
Roice




On Tue, Dec 3, 2013 at 11:31 PM, wrote:

>
>
> Hi Michael, welcome!
>
> For 3-cycle of 4C I know only 16-move sequence, as well as for rotation
> of two 4C pieces. And flip of a single 4C - also take 16 moves... they all
> have the same pattern in my method.
>
> My best result for 3^4 (MC4D program, no macros) was, as far as I
> remember, 17:25. But it was long time ago, and now I can't do even 25
> minutes... but I keep training :)
>
>
> Andrey
>
>
>
>

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Awesome! These new sequences from you and Michael come as a bit of a
surprise to me since MC4D has been around so long. It kind of makes me
wonder if some new "shortests" categories in the Hall of Fame would be
justified.

I also wonder if there might be a way to mathematically prove what the
shortest possible 3-cycle corner sequence can be (which doesn't alter other
pieces). Given how difficult the 3x3x3 God's Number problem turned out to
be, there might not be, but perhaps the extra constraints of the question
could make it tractable. And maybe there is a pattern: 8 moves in 3D, 12
moves in 4D, ?? moves in 5D, ... Corner pieces always touch half the puzzle
faces, and perhaps the logic of an argument could start there.

Roice



On Sun, Dec 15, 2013 at 2:49 PM, wrote:

>
>
> Hello all,
>
>
> This is my first post here and as for the time being I've been happy to
> only read the digests of some of the conversations here. Then inspired by
> your info about the shortest algorithms I started to find out good ones
> again and found actually a 12 move 4-color piece 3-cycle. Then I thought it
> would be of interest to share it with you.
>
>
> So here is the algorithm in log file notation:
>
> 48,1,1 101,-1,1 185,1,1 101,1,1 48,-1,1 129,-1,1 48,1,1 101,-1,1 185,-1,1
> 101,1,1
>
> 48,-1,1 129,1,1
>
>
> My main idea was to look for a way to replace one 4-color piece in one
> side with 5 moves and then commute this algorithm with moving this side.
> The solution finally came by a bit of accident but anyway here it is.
>
>
> --Eero Neijonen
>
>
>
>
>
>

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