Thread: "the checkerboard pattern"

From: alvin5553@gmail.com
Date: Wed, 15 Oct 2014 17:00:16 -0500
Subject: the checkerboard pattern



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Hi Alvin,

The shortest known 3^4 checkerboard takes 24 moves. See this post
,
which has a link to a log file you can use to study the moves. There are o=
ther
possibilities for
checkerboard patterns too!

You'll find more threads to peruse if you search for "checkerboard" or
"shortest checkboard" in the archives.

Cheers,
Roice


On Wed, Oct 15, 2014 at 4:25 PM, alvin5553@gmail.com [4D_Cubing] <
4D_Cubing@yahoogroups.com> wrote:

>
>
> Does anybody know how to do the checkerboard pattern on the 3x3x3x3?
>
>
>=20
>

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Hi Alvin,

The shortest known 3^4 =
checkerboard takes 24 moves.=C2=A0 See=C2=A0.com/neo/groups/4D_Cubing/conversations/messages/975">this=C2=A0post, w=
hich has a link to a log file you can use to study the moves.=C2=A0 There a=
re=C2=A0other =
possibilities
for checkerboard patterns too!

You'll find mor=
e threads to peruse if you search for "checkerboard" or "sho=
rtest checkboard" in the archives.

Cheers,
Roice

v class=3D"gmail_extra">
On Wed, Oct 15, 2014=
at 4:25 PM, alvin=
5553@gmail.com
[4D_Cubing] <ubing@yahoogroups.com" target=3D"_blank">4D_Cubing@yahoogroups.com><=
/span> wrote:
0px 0.8ex;border-left-width:1px;border-left-color:rgb(204,204,204);border-l=
eft-style:solid;padding-left:1ex">






=20=20=20=20=20=20=20=20

















Does anybody know how to do the checkerboard pattern on the 3x3x3x=
3?
























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From: Melinda Green <melinda@superliminal.com>
Date: Wed, 15 Oct 2014 16:24:35 -0700
Subject: Re: [MC4D] the checkerboard pattern



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I just noticed that in the last two of your "other possibilities", each=20
face has a completely unique pair of colors! That's very cool, Roice.
-Melinda

On 10/15/2014 3:00 PM, Roice Nelson roice3@gmail.com [4D_Cubing] wrote:
>
>
> Hi Alvin,
>
> The shortest known 3^4 checkerboard takes 24 moves. See this post=20
> >,=20
> which has a link to a log file you can use to study the moves. There=20
> are other possibilities=20
> for checkerboard=20
> patterns too!
>
> You'll find more threads to peruse if you search for "checkerboard" or=20
> "shortest checkboard" in the archives.
>
> Cheers,
> Roice
>
>
> On Wed, Oct 15, 2014 at 4:25 PM, alvin5553@gmail.com=20
> [4D_Cubing] <4D_Cubing@yahoogroups.com=20
> > wrote:
>
>
>
> Does anybody know how to do the checkerboard pattern on the 3x3x3x3?
>
>
>
>
>
>
>=20


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">


I just noticed that in the last two of your "other possibilities",
each face has a completely unique pair of colors! That's very cool,
Roice.

-Melinda



On 10/15/2014 3:00 PM, Roice Nelson
">roice3@gmail.com [4D_Cubing] wrote:


cite=3D"mid:CAEMuGXpXZPGiu2P228P7z1VHSc3Kkz+vw-TX7QVZms5w+sh+xQ@mail.gmail.=
com"
type=3D"cite">



Hi Alvin,




The shortest known 3^4 checkerboard takes 24 moves.=C2=A0 See=C2=A0=
moz-do-not-send=3D"true"
href=3D"https://groups.yahoo.com/neo/groups/4D_Cubing/conversations/message=
s/975">this=C2=A0post,
which has a link to a log file you can use to study the moves.=C2=
=A0
There are=C2=A0 href=3D"http://www.gravitation3d.com/mc4d/checkerboards/">other
possibilities
for checkerboard patterns too!



You'll find more threads to peruse if you search for
"checkerboard" or "shortest checkboard" in the archives.



Cheers,

Roice




On Wed, Oct 15, 2014 at 4:25 PM, moz-do-not-send=3D"true" href=3D"mailto:alvin5553@gmail.com=
"
target=3D"_blank">alvin5553@gmail.com [4D_Cubing] dir=3D"ltr">< href=3D"mailto:4D_Cubing@yahoogroups.com"
target=3D"_blank">4D_Cubing@yahoogroups.com
>>
wrote:

0.8ex;border-left-width:1px;border-left-color:rgb(204,204,204);border-left-=
style:solid;padding-left:1ex">





Does anybody know how to do the checkerboard
pattern on the 3x3x3x3?














=20=20=20=20=20=20







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From: andreyastrelin@yahoo.com
Date: 16 Oct 2014 05:08:37 -0700
Subject: Re: [MC4D] the checkerboard pattern




From: andreyastrelin@yahoo.com
Date: Thu, 23 Oct 2014 16:39:47 -0700
Subject: Re: [MC4D] the checkerboard pattern



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Just a note to let you know that I've made some small but helpful
changes to the Android app
.
One change was disabling auto-rotation. Lots of users of the desktop
version turn that off. It doesn't get in my way there but on the Android
app it makes it difficult. The other change was to implement the 4D
rotate-to-center (ctrl-click on desktop). My epiphany was that I could
implement that feature via tapping on a face. Taps to twist don't work
due to the tiny stickers, but it only now occurred to me that
rotate-to-center would. This also solves the problem of the 4D
rotate-by-dragging mode leaving the geometry in strange orientations.
Now you just tap any face to snap to the canonical orientation. That
also works in all 3 modes. I find it particularly useful in twisting
mode because it lets me switch 4D views and apply twists without needing
to switch modes. The two new changes work together very synergistically,
and the result feels much more fun and responsive.

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Just a note to let you know that I've made some small but helpful
changes to the href="https://play.google.com/store/apps/details?id=com.superliminal.magiccube4d">Android
app. One change was disabling auto-rotation. Lots of users of
the desktop version turn that off. It doesn't get in my way there
but on the Android app it makes it difficult. The other change was
to implement the 4D rotate-to-center (ctrl-click on desktop). My
epiphany was that I could implement that feature via tapping on a
face. Taps to twist don't work due to the tiny stickers, but it only
now occurred to me that rotate-to-center would. This also solves the
problem of the 4D rotate-by-dragging mode leaving the geometry in
strange orientations. Now you just tap any face to snap to the
canonical orientation. That also works in all 3 modes. I find it
particularly useful in twisting mode because it lets me switch 4D
views and apply twists without needing to switch modes. The two new
changes work together very synergistically, and the result feels
much more fun and responsive.




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