Thread: "Annotated 2x2x2x2 solve."

From: pentaquark394@yahoo.ca
Date: 04 Jul 2018 01:51:30 +0000
Subject: Annotated 2x2x2x2 solve.




From: pentaquark394@yahoo.ca
Date: Thu, 5 Jul 2018 00:11:09 +0200
Subject: Annotated 2x2x2x2 solve.



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Hi folks,

Here are my newest MagicTile solves

3.7.2018 hyp {7,3} 6 f001 184 moves
3.7.2018 hyp {7,3} 6 e100 136 moves
3.7.2018 hyp {7,3} 6 v1,5-0-0 222 moves
3.7.2018 hyp {7,3} 6 f010 v100 120 moves
4.7.2018 skew {4,4|5} 25 v200 2922 moves
4.7.2018 hyp {7,3} 6 e1,4-0-0 846 moves
4.7.2018 hyp {7,3} 6 f0.67-0-0 1072 moves

hyp {7,3} 6 is the new glueing initiated from HyperRogue.

The "non orientability" brings the possibility of mirroring corners and fur=
ther the existence of a sequence for the rotation of a single corner !

Happy puzzling !

Ed
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>




Hi folks,

 

Here are my newest MagicTile=20
solves

 

3.7.2018 hyp {7,3} 6 f001   184=
=20
moves
3.7.2018 hyp {7,3} 6 e100   136 moves
3.7.2018 hyp {7=
,3} 6=20
v1,5-0-0   222 moves
3.7.2018 hyp {7,3} 6 f010 v100  =
; 120=20
moves
4.7.2018 skew {4,4|5} 25 v200   2922 moves
4.7.2018 h=
yp=20
{7,3} 6 e1,4-0-0   846 moves
4.7.2018 hyp {7,3} 6=20
f0.67-0-0   1072 moves

 

hyp {7,3}=20
6
is the new glueing initiated from face=3D"Times New Roman">face=3DArial>HyperRogue.

 

The "non orientability" brings the possibi=
lity=20
of mirroring corners and further the existence of a sequence fo=
r the=20
rotation of a single corner !

 

Happy puzzling !

 

Ed


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From: duf1 <duf1@charter.net>
Date: Wed, 4 Jul 2018 18:26:13 -0700
Subject: Re: [MC4D] Annotated 2x2x2x2 solve.




From: duf1 <duf1@charter.net>
Date: Thu, 5 Jul 2018 00:42:24 -0700
Subject: Re: [MC4D] Annotated 2x2x2x2 solve.



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Hello Don,

This is Brian's video . You =
are both enthusiastic new members via the physical 2x2x2x2. Welcome to both=
of you! His annotations are in the description. Click "Show More" under th=
e video. That confused me at first too. It is very nicely done. I especiall=
y like the music during the solution portion. I think his scramble was a mi=
sunderstanding of my description of a simplified version be.com/watch?v=3DZwq86lyMMcI> of Luna's method. Luckily Brian's version see=
ms to be valid but I'm not sure why. Perhaps someone here can say.

-Melinda

On 7/4/2018 6:26 PM, duf1 duf1@charter.net [4D_Cubing] wrote:
>
>
> Hello!
>
> I=E2=80=99m new to this forum.
>
> I saw your youtube video =C2=A0"Annotated 2x2x2x2 solve=E2=80=9D.
>
>
> Can you either explain, or point me to that /method/
>
>
>
>
> Thanks,
>
>
> Don
>
>
> PS I didn=E2=80=99t see any=C2=A0=E2=80=9Cannotations=E2=80=9D either...
>
>> On Jul 3, 2018, at 6:51 PM, pentaquark394@yahoo.ca @yahoo.ca> [4D_Cubing] <4D_Cubing@yahoogroups.com oups.com>> wrote:
>>
>>
>> Here it is.
>>
>> https://www.youtube.com/watch?v=3D18CO6s3fw-A
>>
>> I think my 8 by 8 pre-orient method has particular merit.
>>
>>
>>
>
>
>
>=20


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">


Hello Don,



This is href=3D"https://www.youtube.com/watch?v=3D18CO6s3fw-A">Brian's video<=
/a>.
You are both enthusiastic new members via the physical 2x2x2x2.
Welcome to both of you! His annotations are in the description.
Click "Show More" under the video. That confused me at first too. It
is very nicely done. I especially like the music during the solution
portion. I think his scramble was a misunderstanding of my
description of a
href=3D"https://www.youtube.com/watch?v=3DZwq86lyMMcI">simplified
version
of Luna's method. Luckily Brian's version seems to be
valid but I'm not sure why. Perhaps someone here can say.



-Melinda



On 7/4/2018 6:26 PM, duf1
">duf1@charter.net [4D_Cubing] wrote:


cite=3D"mid:65A60E24-056F-4301-A771-309DA9930AE3@charter.net">

-8">
=20=20=20=20=20=20
Hello!

=3D"">

I=E2=80=
=99m new to
this forum.


=3D"">

I saw you=
r
youtube video =C2=A0"Annotated 2x2x2x2 solve=E2=80=9D.
v>

=3D"">


=3D"">

Can you
either explain, or point me to that=C2=A0method=
=C2=A0











=3D"">

Thanks,span>


=3D"">


=3D"">

Don>





=3D"">

PS I didn=
=E2=80=99t
see any=C2=A0=E2=80=9Cannotations=E2=80=9D either...

ass=3D"">



On Jul 3, 2018, at 6:51 PM, href=3D"mailto:pentaquark394@yahoo.ca" class=3D""
moz-do-not-send=3D"true">pentaquark394@yahoo.ca
[4D_Cubing] < class=3D"" moz-do-not-send=3D"true">4D_Cubing@yahoogroups.c=
om
>
wrote:




Arial, helvetica, clean, sans-serif; caret-color: rgb(0,
0, 0); font-style: normal; font-variant-caps: normal;
font-weight: normal; letter-spacing: normal; text-align:
start; text-indent: 0px; text-transform: none;
white-space: normal; word-spacing: 0px;
-webkit-text-stroke-width: 0px; background-color:
rgb(255, 255, 255); text-decoration: none; position:
relative;" class=3D"">
1;" class=3D"">
font-family: Georgia;" class=3D"">
1em;" class=3D""> class=3D"webkit-block-placeholder">

class=3D""> class=3D"">Here it is.


class=3D""> href=3D"https://www.youtube.com/watch?v=3D18CO6s3fw=
-A"
style=3D"line-height: 1.22em; font-family:
Verdana;" class=3D"" moz-do-not-send=3D"true">https=
://www.youtube.com/watch?v=3D18CO6s3fw-A
style=3D"line-height: 1.22em;" class=3D"">


class=3D"">I think my 8 by 8 pre-orient method has
particular merit.


class=3D"">
=3D"">


1em;" class=3D""> class=3D"webkit-block-placeholder">










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







--------------7FE41A32AE4A059845ED555F--




From: dylancarrington@yahoo.com
Date: 05 Jul 2018 10:26:30 +0000
Subject: Re: [MC4D] Annotated 2x2x2x2 solve.




From: dylancarrington@yahoo.com
Date: Thu, 5 Jul 2018 11:56:16 -0700
Subject: Re: [MC4D] Annotated 2x2x2x2 solve.



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Hello Dylan,

Thank you for affirming that all canonical moves in the inverted (alternate=
?) projection result in valid states. That is good to know. I still wish I =
understood exactly how to think about this alternate universe.

-Melinda

On 7/5/2018 3:26 AM, dylancarrington@yahoo.com [4D_Cubing] wrote:
>
>
> This scrambling method will always produce a solvable puzzle, and is thus=
valid (provided that the total number of restacking moves is always even).=
=C2=A0 I'll attempt to explain, but I'm not sure my terminology lines up wi=
th what other people will understand.
>
> When you restack just an endcap, you are shifting the puzzle into a diffe=
rent kind of state.=C2=A0 While in this state, some of the canonical moves =
no longer correspond to a single twist on the 4D puzzle, but after any comb=
ination of canonical moves in this state you can restack another endcap and=
still be in a solvable state.
>
> In the restacked state, the 180 flip of the long face is still a valid si=
ngle move on the 4D puzzle.=C2=A0 It gives you the same effect as if you ha=
d not restacked, but instead put the long face on the inside and rotated it=
180 degrees.
>
> In the restacked state, the arbitrary juxtaposition is not necessarily a =
va lid rotation on the 4D puzzle.=C2=A0 If the juxtaposiiton moves the insi=
de or outside edge to one of the long faces, that is the same as rotating t=
hat face of the cube validly, and then rotating each piece on that cube abo=
ut their corner.=C2=A0 Not something you can do in a single move on the 4D =
puzzle, but half the pieces will rotate clockwise and half counter clockwis=
e, so the result will still be solvable.
>
> -Dylan
>
>
>=20


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">


Hello Dylan,



Thank you for affirming that all canonical moves in the inverted
(alternate?) projection result in valid states. That is good to
know. I still wish I understood exactly how to think about this
alternate universe.



-Melinda



On 7/5/2018 3:26 AM,
yahoo.com">dylancarrington@yahoo.com [4D_Cubing] wrote:





This scrambling method will always produce a solvable puzzle,
and is thus valid (provided that the total number of restacking
moves is always even).=C2=A0 I'll attempt to explain, but I'm not
sure my terminology lines up with what other people will
understand.





When you restack just an endcap, you are shifting the puzzle
into a different kind of state.=C2=A0 While in this state, some of
the canonical moves no longer correspond to a single twist on
the 4D puzzle, but after any combination of canonical moves in
this state you can restack another endcap and still be in a
solvable state.





In the restacked state, the 180 flip of the long face is
still a valid single move on the 4D puzzle.=C2=A0 It gives you the
same effect as if you had not restacked, but instead put the
long face on the inside and rotated it 180 degrees.




In the restacked state, the arbitrary juxtaposition is not
necessarily a va lid rotation on the 4D puzzle.=C2=A0 If the
juxtaposiiton moves the inside or outside edge to one of the
long faces, that is the same as rotating that face of the cube
validly, and then rotating each piece on that cube about their
corner.=C2=A0 Not something you can do in a single move on the 4D
puzzle, but half the pieces will rotate clockwise and half
counter clockwise, so the result will still be solvable.




-Dylan


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







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