Message #973

From: Roice Nelson <roice3@gmail.com>
Subject: Re: [MC4D] Checkerboard
Date: Sat, 10 Jul 2010 19:24:45 -0500

Hi deustfrr,

I made a log file that will work with the current MC4D version (by looking
at Remi’s HOF file in an older MC4D), and put it
here<http://www.gravitation3d.com/mc4d/checkerboards/3%5E4_checkerboard_24_moves.log>.
Hopefully you can use this to see how to make a checkerboard.

You might also be interested to know about various other checkerboards that
are possible on the 3^4, as described in this
post<http://games.groups.yahoo.com/group/4D_Cubing/message/477> and
shown in these pictures <http://www.gravitation3d.com/mc4d/checkerboards/>.

seeya,
Roice

On Sat, Jul 10, 2010 at 7:47 AM, deustfrr <deustfrr@yahoo.ca> wrote:

> Hmm…OK then, I get you. Can anybody tell me the notation required to make
> a checkerboard pattern? eg. T4L (top 4 left)N5R (near (bottom) 5 right)
>
> — In 4D_Cubing@yahoogroups.com, "dicekid@…" <dicekid@…> wrote:
> >
> > Hi deustfrr,
> >
> > I thought about this checkerboard pattern for myself a while ago and I
> think the way you
> > want to turn the cells will not work.
> > I’m not sure but maybe some of the experts can correct me if I’m wrong.
> > But what I think you need, is the possibility to turn 1 cell in a way
> that all the
> > neighbouring cells will switch their "faces" (is this the right word
> here?) with the
> > opposed cell. You can do this for 4 of the 6 neighbouring cells, but not
> for all. At least
> > not in a way that they will switch the faces with their opposite cell.
> >
> > In a 2D or 3D cube this is possible. So if you turn an edge on a 2D cube
> around 180°, you
> > just switch the colors of the corners of the 2 neighbouring edges.
> > On a 3D cube it’s the same if you turn a face around 180° you switch the
> edges of all the
> > neighbouring faces to their opposite face….
> > Now in 4D…. we just can’t turn the cell around 180° and switching all
> the faces of the
> > neighbouring cells, so that they will end up on ther opposite cell.
> >
> > At this point I have some question on the experts here. Is such a turn
> completely
> > forbidden in a mathematical way? Or are we missing a possibility to turn
> the faces of the
> > 4D-cube? And is the "easy" checkerboard-solution with the 180° twists
> only possible for 2D
> > and 3D and not for higher dimensions?
> >
> > I hope, I didn’t confuse you too much.
> >
> > Have a nice weekend,
> > Denny
> >
> > — In 4D_Cubing@yahoogroups.com, "deustfrr" <deustfrr@> wrote:
> > >
> > > Wait so, do you click on the 3 coloured edges or the 2 coloured faces
> once? I posted this in the first place because MC4D updated and the log
> files wouldn’t work!
> > >
> > > old checkerboard:
> > > MagicCube4D 2 0 24 3
> > > 161616161616161616161616161
> > > 707070707070707070707070707
> > > 525252525252525252525252525
> > > 434343434343434343434343434
> > > 343434343434343434343434343
> > > 252525252525252525252525252
> > > 070707070707070707070707070
> > > 616161616161616161616161616
> > > 122 122 314 314 610:2 610:2 414 414 622 622
> > > 410:-1 122 122 216 216 614:2 614:2 516 516 622
> > > 622 414:2 414:2 54:2 54:2.
> > >
> > > new first three-coloured series:
> > > MagicCube4D 3 0 8 {4,3,3} 2
> > > 0.6520850785553989 -0.3815055016364071 0.6551630350886356 0.0
> > > 0.7574805810228947 0.36403966358641016 -0.5419393810280918 0.0
> > > -0.0317524754722722 0.8496638603336303 0.5263678416700018 0.0
> > > 0.0 0.0 0.0 1.0
> > > *
> > > m[ 25,1,1 105,1,1 25,-1,1 132,-1,1 25,1,1 105,-1,1 25,-1,1 132,1,1 m].
> > >
> > > I’m just posting examples
> > >
> > >
> > > — In 4D_Cubing@yahoogroups.com, Melinda Green <melinda@> wrote:
> > > >
> > > > Hello deustfrr,
> > > >
> > > > You perform 180 degree twists by clicking on the edge pieces. These
> are
> > > > the ones that look like the 2-colored pieces on the normal 3D Rubik’s
> > > > cube. To perform twists on the invisible "outer" face you can either
> > > > first rotate it into view by ctrl-clicking anywhere on one of the
> > > > non-center faces, or you can hold down the ‘3’ key while clicking a
> > > > sticker of its opposite face, in this case the inner-most one.
> > > >
> > > > You may find that second method to be useful for twisting of all face
> > > > pairs in a consistent way by clicking twice on just one of each pair,
> > > > once normally and once with the ‘3’ key. An even faster method might
> be
> > > > to hold the ‘2’ key instead to twist just the middle slice which will
> > > > cut your twist count in half. Even without that, the current record
> for
> > > > a 3^4 checkerboard is 24 twists so an 8 twist method would be quite
> an
> > > > improvement!
> > > >
> > > > Welcome to the 3D cubing group,
> > > > -Melinda
> > > >
> > > > deustfrr wrote:
> > > > > Hi everybody, I just wanted to ask how to make a checkerboard
> pattern
> > > > > on a 4D and 5D cube.
> > > > > On a 2D cube you turn every edge 180, 4 turns
> > > > > On a 3D cube you turn every face 180, 6 turns
> > > > > On a 4D cube you turn every cell 180, 8 turns? How do you do that?
> > > > > For me, even though I talk about 4D so much, I can’t understand
> > > > > something as easy as this! :(((or at least I think that’s supposed
> to
> > > > > be easy)
> > > > > using my notation, the turns should be U, D, L, R, F, B, N (near)
> and
> > > > > T, but I don’t know which faces to click on.
> > > > > hope you respond
> > > >
> > >
> >
>
>
>
>
> ————————————
>
> Yahoo! Groups Links
>
>
>
>