Message #2506

From: schuma <mananself@gmail.com>
Subject: Re: MagicTile Solving
Date: Sun, 25 Nov 2012 20:30:38 -0000

Interesting observation about F0:2:0. The direct analog is 3x3x3 where only two-layer turns are allowed. That’s why you need to think of it as a turn of the opposite face and reorient the puzzle. Just now I used a 3x3x3 as a reference and solved F0:2:0.

Nan

— In 4D_Cubing@yahoogroups.com, Roice Nelson <roice3@…> wrote:
>
> Wow, that is cool! I don’t think I would have ever noticed that, so thank
> your for sharing it Matt :D
>
> It’s wild that all *eight* 1C stickers on a face can be considered the same
> piece, which is more evident if you do a full scramble. Also surprising is
> that when looking at the F0:2:0 as a 3x3x3, you have to twist a face by
> clicking its opposite. And since a twist changes the location of other
> faces in the plane, mapping my cube 3-cycle to this puzzle threw me for a
> loop or two. Love it!
>
> I’d like to read your report when you finish, if you are inclined to share
> it.
>
> Take Care,
> Roice
>
> P.S. Here is a link to a twistypuzzles thread with {8,3} pics, which I
> think is the one you mention…
> http://twistypuzzles.com/forum/viewtopic.php?f=1&t=20697
>
>
> On Sun, Nov 25, 2012 at 6:19 AM, Matthew <damienturtle@…> wrote:
>
> > Just want to chip in here. The {8,3} 6C F0:2:0 is also equivalent to the
> > 3x3x3, I invite people to try and see why ;-).
> >
> > I’m almost finished writing a report for my 4th year at university about
> > group theory and the cube, and I referenced these two puzzles from
> > MagicTile to briefly explain how the cube group turns up in unexpected
> > places.
> >
> > I had some fun a while back looking at the {8,3} 6C puzzles with different
> > cutting circles since it tied into a discussion on the Twistypuzzles forum,
> > I’m sure I posted here about it and started a thread there. I can try to
> > help point people in the right direction if they want to read these posts
> > but they’re having trouble finding them.
> >
> > Matt
> >
> > — In 4D_Cubing@yahoogroups.com, Roice Nelson <roice3@> wrote:
> > >
> > > Andrey pointed out something cool about the {8,3} 6C F0.67:0:1 a few
> > years
> > > back. It is just the classic 3x3x3 Rubik’s Cube in disguise! Once you
> > > identify pieces, those octagons are seen as squares with 9 stickers each.
> > >
> > > http://games.groups.yahoo.com/group/4D_Cubing/message/1023
> > >
> > > Cheers,
> > > Roice
> > >
> > >
> > > On Sat, Nov 24, 2012 at 10:19 AM, Eduard <baumann@> wrote:
> > >
> > > > Solving of MT ell sph dodeka V 0:0:1 —– || 11/23/2012 || 560
> > > > Easier than ‘ E 0 :1 :0 `
> > > >
> > > > Solving of MT hyp {8,3} 6 F 0.67:0:1 —– || 11/24/2012 || 328
> > > > Every color is equivalent. Easy 3-cycles. Andrey 119 twists.
> > > >
> > >
> >
> >
>