Thread: "Checkerboard"

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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





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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! i1.yimg.com/us.yimg.com/i/mesg/tsmileys2/17.gif" alt=3D":((" height=3D"18" =
width=3D"18">(or at least I think that's supposed to be easy)
using my n=
otation, 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





--9-1361089271-3510591758=:3--

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

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 wo=
uldn't work!

old checkerboard:=20
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 wrote:
>
> Hello deustfrr,
>=20
> You perform 180 degree twists by clicking on the edge pieces. These are=20
> the ones that look like the 2-colored pieces on the normal 3D Rubik's=20
> cube. To perform twists on the invisible "outer" face you can either=20
> first rotate it into view by ctrl-clicking anywhere on one of the=20
> non-center faces, or you can hold down the '3' key while clicking a=20
> sticker of its opposite face, in this case the inner-most one.
>=20
> You may find that second method to be useful for twisting of all face=20
> pairs in a consistent way by clicking twice on just one of each pair,=20
> once normally and once with the '3' key. An even faster method might be=20
> to hold the '2' key instead to twist just the middle slice which will=20
> cut your twist count in half. Even without that, the current record for=20
> a 3^4 checkerboard is 24 twists so an 8 twist method would be quite an=20
> improvement!
>=20
> Welcome to the 3D cubing group,
> -Melinda
>=20
> deustfrr wrote:
> > Hi everybody, I just wanted to ask how to make a checkerboard pattern=20
> > 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=20
> > something as easy as this! :(((or at least I think that's supposed to=20
> > be easy)
> > using my notation, the turns should be U, D, L, R, F, B, N (near) and=20
> > T, but I don't know which faces to click on.
> > hope you respond
>

Hi deustfrr,

I thought about this checkerboard pattern for myself a while ago and I thin=
k the way you=20
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=20
neighbouring cells will switch their "faces" (is this the right word here?)=
with the=20
opposed cell. You can do this for 4 of the 6 neighbouring cells, but not fo=
r all. At least=20
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 ar=
ound 180=B0, you=20
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=B0 you switch the =
edges of all the=20
neighbouring faces to their opposite face....
Now in 4D.... we just can't turn the cell around 180=B0 and switching all t=
he faces of the=20
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 comp=
letely=20
forbidden in a mathematical way? Or are we missing a possibility to turn th=
e faces of the=20
4D-cube? And is the "easy" checkerboard-solution with the 180=B0 twists onl=
y possible for 2D=20
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" wrote:
>
> Wait so, do you click on the 3 coloured edges or the 2 coloured faces onc=
e? I posted this in the first place because MC4D updated and the log files =
wouldn't work!
>=20
> old checkerboard:=20
> 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.
>=20
> 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].
>=20
> I'm just posting examples
>=20
>=20
> --- In 4D_Cubing@yahoogroups.com, Melinda Green wrote:
> >
> > Hello deustfrr,
> >=20
> > You perform 180 degree twists by clicking on the edge pieces. These are=
=20
> > the ones that look like the 2-colored pieces on the normal 3D Rubik's=20
> > cube. To perform twists on the invisible "outer" face you can either=20
> > first rotate it into view by ctrl-clicking anywhere on one of the=20
> > non-center faces, or you can hold down the '3' key while clicking a=20
> > sticker of its opposite face, in this case the inner-most one.
> >=20
> > You may find that second method to be useful for twisting of all face=20
> > pairs in a consistent way by clicking twice on just one of each pair,=20
> > once normally and once with the '3' key. An even faster method might be=
=20
> > to hold the '2' key instead to twist just the middle slice which will=20
> > cut your twist count in half. Even without that, the current record for=
=20
> > a 3^4 checkerboard is 24 twists so an 8 twist method would be quite an=
=20
> > improvement!
> >=20
> > Welcome to the 3D cubing group,
> > -Melinda
> >=20
> > deustfrr wrote:
> > > Hi everybody, I just wanted to ask how to make a checkerboard pattern=
=20
> > > 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=20
> > > something as easy as this! :(((or at least I think that's supposed to=
=20
> > > be easy)
> > > using my notation, the turns should be U, D, L, R, F, B, N (near) and=
=20
> > > T, but I don't know which faces to click on.
> > > hope you respond
> >
>

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@..." wrote:
>
> Hi deustfrr,
>=20
> I thought about this checkerboard pattern for myself a while ago and I th=
ink the way you=20
> 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 tha=
t all the=20
> neighbouring cells will switch their "faces" (is this the right word here=
?) with the=20
> opposed cell. You can do this for 4 of the 6 neighbouring cells, but not =
for all. At least=20
> not in a way that they will switch the faces with their opposite cell.
>=20
> In a 2D or 3D cube this is possible. So if you turn an edge on a 2D cube =
around 180=B0, you=20
> 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=B0 you switch th=
e edges of all the=20
> neighbouring faces to their opposite face....
> Now in 4D.... we just can't turn the cell around 180=B0 and switching all=
the faces of the=20
> neighbouring cells, so that they will end up on ther opposite cell.
>=20
> At this point I have some question on the experts here. Is such a turn co=
mpletely=20
> forbidden in a mathematical way? Or are we missing a possibility to turn =
the faces of the=20
> 4D-cube? And is the "easy" checkerboard-solution with the 180=B0 twists o=
nly possible for 2D=20
> and 3D and not for higher dimensions?
>=20
> I hope, I didn't confuse you too much.
>=20
> Have a nice weekend,
> Denny
>=20
> --- In 4D_Cubing@yahoogroups.com, "deustfrr" wrote:
> >
> > Wait so, do you click on the 3 coloured edges or the 2 coloured faces o=
nce? I posted this in the first place because MC4D updated and the log file=
s wouldn't work!
> >=20
> > old checkerboard:=20
> > 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.
> >=20
> > 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].
> >=20
> > I'm just posting examples
> >=20
> >=20
> > --- In 4D_Cubing@yahoogroups.com, Melinda Green wrote:
> > >
> > > Hello deustfrr,
> > >=20
> > > You perform 180 degree twists by clicking on the edge pieces. These a=
re=20
> > > the ones that look like the 2-colored pieces on the normal 3D Rubik's=
=20
> > > cube. To perform twists on the invisible "outer" face you can either=
=20
> > > first rotate it into view by ctrl-clicking anywhere on one of the=20
> > > non-center faces, or you can hold down the '3' key while clicking a=20
> > > sticker of its opposite face, in this case the inner-most one.
> > >=20
> > > You may find that second method to be useful for twisting of all face=
=20
> > > pairs in a consistent way by clicking twice on just one of each pair,=
=20
> > > once normally and once with the '3' key. An even faster method might =
be=20
> > > to hold the '2' key instead to twist just the middle slice which will=
=20
> > > cut your twist count in half. Even without that, the current record f=
or=20
> > > a 3^4 checkerboard is 24 twists so an 8 twist method would be quite a=
n=20
> > > improvement!
> > >=20
> > > Welcome to the 3D cubing group,
> > > -Melinda
> > >=20
> > > deustfrr wrote:
> > > > Hi everybody, I just wanted to ask how to make a checkerboard patte=
rn=20
> > > > 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=20
> > > > something as easy as this! :(((or at least I think that's supposed =
to=20
> > > > be easy)
> > > > using my notation, the turns should be U, D, L, R, F, B, N (near) a=
nd=20
> > > > T, but I don't know which faces to click on.
> > > > hope you respond
> > >
> >
>

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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
heremoves.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 and
shown in these pictures .

seeya,
Roice


On Sat, Jul 10, 2010 at 7:47 AM, deustfrr wrote:

> Hmm...OK then, I get you. Can anybody tell me the notation required to ma=
ke
> a checkerboard pattern? eg. T4L (top 4 left)N5R (near (bottom) 5 right)
>
> --- In 4D_Cubing@yahoogroups.com, "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 no=
t
> 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 cub=
e
> around 180=B0, 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=B0 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=B0 and switching a=
ll
> 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 tur=
n
> the faces of the
> > 4D-cube? And is the "easy" checkerboard-solution with the 180=B0 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" 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 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 eithe=
r
> > > > 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 fa=
ce
> > > > pairs in a consistent way by clicking twice on just one of each pai=
r,
> > > > once normally and once with the '3' key. An even faster method migh=
t
> be
> > > > to hold the '2' key instead to twist just the middle slice which wi=
ll
> > > > 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 suppose=
d
> 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
>
>
>
>

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Hi deustfrr,

Ok thamks...I still have to record a few things to understand how the turns=
work. The other checkerboards, I consider irregular. It is possible to mak=
e 2 3-cycles on a 3^3, I think

--- In 4D_Cubing@yahoogroups.com, Roice Nelson wrote:
>
> Hi deustfrr,
>=20
> I made a log file that will work with the current MC4D version (by lookin=
g
> at Remi's HOF file in an older MC4D), and put it
> here4_moves.log>.
> Hopefully you can use this to see how to make a checkerboard.
>=20
> You might also be interested to know about various other checkerboards th=
at
> are possible on the 3^4, as described in this
> post and
> shown in these pictures >.
>=20
> seeya,
> Roice
>=20
>=20
> On Sat, Jul 10, 2010 at 7:47 AM, deustfrr wrote:
>=20
> > 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@" 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 wron=
g.
> > > 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 c=
ube
> > around 180=B0, 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=B0 you switc=
h the
> > edges of all the
> > > neighbouring faces to their opposite face....
> > > Now in 4D.... we just can't turn the cell around 180=B0 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 tur=
n
> > completely
> > > forbidden in a mathematical way? Or are we missing a possibility to t=
urn
> > the faces of the
> > > 4D-cube? And is the "easy" checkerboard-solution with the 180=B0 twis=
ts
> > 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" wrote:
> > > >
> > > > Wait so, do you click on the 3 coloured edges or the 2 coloured fac=
es
> > 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 wrote:
> > > > >
> > > > > Hello deustfrr,
> > > > >
> > > > > You perform 180 degree twists by clicking on the edge pieces. The=
se
> > are
> > > > > the ones that look like the 2-colored pieces on the normal 3D Rub=
ik's
> > > > > cube. To perform twists on the invisible "outer" face you can eit=
her
> > > > > 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 p=
air,
> > > > > once normally and once with the '3' key. An even faster method mi=
ght
> > 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 reco=
rd
> > for
> > > > > a 3^4 checkerboard is 24 twists so an 8 twist method would be qui=
te
> > 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 th=
at?
> > > > > > 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 suppo=
sed
> > to
> > > > > > be easy)
> > > > > > using my notation, the turns should be U, D, L, R, F, B, N (nea=
r)
> > and
> > > > > > T, but I don't know which faces to click on.
> > > > > > hope you respond
> > > > >
> > > >
> > >
> >
> >
> >
> >
> > ------------------------------------
> >
> > Yahoo! Groups Links
> >
> >
> >
> >
>