Hello all My recent experience solving the 4^4 shows some The log files provided=C2=A0 show parity solving and there's This parity crops up as you come to the end of the 2 you move on to pairing the 3 colour pieces. It will take The third instance - 2 Pairs-3 colour position parity. This is just like the one found on the RR. Both pairs of pieces The fourth instance - 3 colour piece 3 cycle parity.<= The methods I use which is to group all the 1, 2, and 3 Alex
--------------040502020009090908080106
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Hello Alex,
What a great write-up! Because Yahoo does a poor job with attachments=20
and because the group might need to move in the future, I'm going to=20
include your move sequences in the body of this reply so that it will be=20
easier to find later.
Thanks for the new resource,
-Melinda
2 Pairs-3 colour position parity:
133,-1,2 21,-1,1 133,1,1 133,1,1 21,1,1 133,-1,4 21,-1,1 133,1,1 133,1,1=20
21,1,1
133,1,4 21,-1,1 133,1,1 133,1,1 21,1,1 133,1,2 21,-1,1 133,1,1 133,1,1=20
21,1,1
133,-1,4 21,-1,1 133,1,1 133,1,1 21,1,1 133,1,4 128,-1,2 24,1,1 128,1,1=20
128,1,1
24,-1,1 128,1,2 24,1,1 128,1,1 128,1,1 24,-1,1 128,-1,4 24,1,1 128,1,1=20
128,1,1
24,-1,1 128,-1,2 24,1,1 128,1,1 128,1,1 24,-1,1 128,1,2 24,1,1 128,1,1=20
128,1,1
24,-1,1 128,1,4
2 colour half-block parity:
131,1,4 131,1,4 183,1,1 183,1,1 128,-1,2 75,-1,1 128,1,2 74,1,1 103,1,1=20
74,-1,1
128,-1,2 75,1,1 128,1,2 74,1,1 103,-1,1 74,-1,1 183,1,1 183,1,1 131,-1,4=20
131,-1,4
128,1,2 47,1,1 47,1,1 128,1,4 74,1,1 74,1,1 128,-1,4 74,1,1 74,1,1 128,1,2
128,1,2 47,1,1 47,1,1 128,-1,2 47,1,1 47,1,1 128,1,2 47,1,1 47,1,1 74,1,1
74,1,1 128,1,2 128,1,2 74,1,1 74,1,1 104,1,9 104,1,9 24,-1,1 78,-1,1 24,1,1
78,1,1 24,1,1 78,-1,1 24,1,2 78,1,1 24,-1,1 78,-1,1 24,-1,1 78,1,1 24,1,1
78,-1,1 24,-1,2 78,1,1 131,1,4 78,1,1 131,-1,1 78,-1,1 131,1,1 78,1,1=20
131,1,1
78,-1,1 131,-1,4 78,1,1 131,-1,1 78,-1,1 131,-1,1 78,1,1 131,1,1 78,-1,1=20
131,1,6
131,1,6
2-3 colour piece 3 cycle parity:
160,1,2 25,1,1 74,1,1 74,1,1 25,-1,1 160,1,4 22,-1,1 74,1,1 74,1,1 22,1,1
160,-1,4 22,-1,1 74,1,1 74,1,1 22,1,1 160,1,2 160,1,2 25,1,1 74,1,1 74,1,1
25,-1,1 160,-1,2 25,1,1 74,1,1 74,1,1 25,-1,1 160,1,2 25,1,1 74,1,1 74,1,1
4,-1,1 74,1,1 74,1,1 22,1,1 160,1,2 160,1,2 22,-1,1 74,1,1 74,1,1 63,1,1
22,-1,1 160,-1,2 20,-1,1 74,1,1 74,1,1 20,1,1 160,-1,4 22,1,1 74,1,1 74,1,1
22,-1,1 160,1,4 22,1,1 74,1,1 74,1,1 22,-1,1 160,1,2 160,1,2 20,-1,1 74,1,1
74,1,1 20,1,1 160,1,2 20,-1,1 74,1,1 74,1,1 20,1,1 160,-1,2 20,-1,1 74,1,1
74,1,1 0,1,1 74,1,1 74,1,1 22,-1,1 160,1,2 160,1,2 22,1,1 74,1,1 74,1,1
63,1,1 22,1,1
2 colour full-block parity
133,1,4 133,1,4 74,1,1 74,1,1 132,-1,2 24,-1,1 132,1,2 25,1,1 101,1,1=20
25,-1,1
132,-1,2 24,1,1 132,1,2 25,1,1 101,-1,1 25,-1,1 74,1,1 74,1,1 133,-1,4=20
133,1,2
187,1,1 187,1,1 133,-1,2 133,1,4 74,1,1 74,1,1 132,-1,2 24,-1,1 132,1,2=20
25,1,1
101,1,1 25,-1,1 132,-1,2 24,1,1 132,1,2 25,1,1 101,-1,1 25,-1,1 74,1,1=20
74,1,1
133,-1,4 133,1,2 187,1,1 187,1,1 133,-1,6
On 4/24/2016 6:17 PM, alexanderrouse@yahoo.co.uk [4D_Cubing] wrote:
> [Attachment(s) <#TopText> from alexanderrouse@yahoo.co.uk [4D_Cubing]=20
> included below]
>
> Hello all
>
>
> My recent experience solving the 4^4 shows some interesting parity=20
> situations. You may or may not need the solutions for solving the flip=20
> parity that affects the block of 2 edge pieces on the 3D Rubiks=20
> Revenge cube, it depends on your solving method. I tried adapting the=20
> one that I use on the RR (link below) but couldn't get it to work=20
> and that is due to the odd number of moves in the original sequence=20
> from 3D and this means that there is a lot of irreversible or=20
> difficult to undo scramble in the other layers of the cube. All of the=20
> techniques that I found on Youtube that address this parity of the 3d=20
> RR have an odd number of moves and so are not adaptable in my system=20
> so I had to find a new technique. I think this was good though as I=20
> used one of the techniques off of YT for the 3D RR so cheated on that=20
> one. There is another way though which involves re-scrambling the cube=20
> and taking adva ntage of the 50/50 chance of incidence of this parity=20
> to get a non-parity game and solve it that way. That may be fine for=20
> 3D but you wouldn't want to do this on a 4^4 though not least due to=20
> the 1 in 4 chance of a non-parity of the 2 colour pieces.
>
>
>
>
> Easiest Way to Memorize 4x4 Edge Parity (Tutorial)=20
>
>
>
>
>=20=09
> image
>=20=09
>=20=09
> Ea siest Way to Memorize 4x4 Edge Parity (Tutorial)=20
>
> Easiest Beginner Tutorial for solving the 4x4 Edge Parity! ~~Looking=20
> for a 4x4 cube? Pick one up here: http://www.amazon.com/gp/product/B0...
>=20=09
> View on www.youtube.com
>=20=09
> Preview by Yahoo
>
>
> The log files provided show parity solving and there's also some=20
> screenshots I include of these situations.
>
> The first instance - 2 Colour Full-Block Parity.
>
> If you have assembled all the 1, 2, and 3 colour pieces into their=20
> respective blocks thus reducing the cube down to a 3^4 and then=20
> proceed to solve as such y ou may come across this parity when you=20
> come to solving the last of the 2 colour blocks of 4 pieces and find=20
> one of them flipped. The sequence to resolve this takes up to 45 moves=20
> and can be done as soon as you recognize this or at the end of the game.
>
> The second instance -2 Colour Half-Block Parity.
>
>
> This parity crops up as you come to the end of the 2 colour piece=20
> assembly phase and is best resolved before
>
> you move on to pairing the 3 colour pieces. It will take only 20 moves=20
> at this point, but leave it late in the game it will need 81 moves as=20
> the sequence affects a number of other pieces too and these would then=20
> need to be restored.
>
>
> The third instance - 2 Pairs-3 colour position parity.
>
>
> This is just like the one found on the RR. Both pairs of pieces have=20
> the same pairs of colours on the Top face, the other pairs of colours=20
> are flipped and the pairs of pieces are opposite to where they should=20
> be. The sequence to fix this is again adapted from 3D and is 52 moves=20
> long.
>
>
> The fourth instance - 3 colour piece 3 cycle parity.
>
>
> The methods I use which is to group all the 1, 2, and 3 colour pieces=20
> and then solving as a 3^4 with the LBL technique rules out this parity=20
> but it may occur with other solving methods. It is similar to the 3D=20
> version but this time it is a 3 cycle not a 2. This sequence is 82=20
> moves long and uses the adaptation of the 3D version mentioned above,=20
> some other moves, and then the reverse of the first sequence or its=20
> mirror image from the back face then the reversal of the other moves=20
> and so get the 3 cycle parity.
>
>
> Alex
>
>
>
>
>
>
>=20
--------------040502020009090908080106
Content-Type: text/html; charset=utf-8
Content-Transfer-Encoding: quoted-printable
">
Hello Alex,
What a great write-up! Because Yahoo does a poor job with
attachments and because the group might need to move in the future,
I'm going to include your move sequences in the body of this reply
so that it will be easier to find later.
Thanks for the new resource,
-Melinda
2 Pairs-3 colour position parity:
133,-1,2 21,-1,1 133,1,1 133,1,1 21,1,1 133,-1,4 21,-1,1 133,1,1
133,1,1 21,1,1
133,1,4 21,-1,1 133,1,1 133,1,1 21,1,1 133,1,2 21,-1,1 133,1,1
133,1,1 21,1,1
133,-1,4 21,-1,1 133,1,1 133,1,1 21,1,1 133,1,4 128,-1,2 24,1,1
128,1,1 128,1,1
24,-1,1 128,1,2 24,1,1 128,1,1 128,1,1 24,-1,1 128,-1,4 24,1,1
128,1,1 128,1,1
24,-1,1 128,-1,2 24,1,1 128,1,1 128,1,1 24,-1,1 128,1,2 24,1,1
128,1,1 128,1,1
24,-1,1 128,1,4
2 colour half-block parity:
131,1,4 131,1,4 183,1,1 183,1,1 128,-1,2 75,-1,1 128,1,2 74,1,1
103,1,1 74,-1,1
128,-1,2 75,1,1 128,1,2 74,1,1 103,-1,1 74,-1,1 183,1,1 183,1,1
131,-1,4 131,-1,4
128,1,2 47,1,1 47,1,1 128,1,4 74,1,1 74,1,1 128,-1,4 74,1,1 74,1,1
128,1,2
128,1,2 47,1,1 47,1,1 128,-1,2 47,1,1 47,1,1 128,1,2 47,1,1 47,1,1
74,1,1
74,1,1 128,1,2 128,1,2 74,1,1 74,1,1 104,1,9 104,1,9 24,-1,1 78,-1,1
24,1,1
78,1,1 24,1,1 78,-1,1 24,1,2 78,1,1 24,-1,1 78,-1,1 24,-1,1 78,1,1
24,1,1
78,-1,1 24,-1,2 78,1,1 131,1,4 78,1,1 131,-1,1 78,-1,1 131,1,1
78,1,1 131,1,1
78,-1,1 131,-1,4 78,1,1 131,-1,1 78,-1,1 131,-1,1 78,1,1 131,1,1
78,-1,1 131,1,6
131,1,6
2-3 colour piece 3 cycle parity:
160,1,2 25,1,1 74,1,1 74,1,1 25,-1,1 160,1,4 22,-1,1 74,1,1 74,1,1
22,1,1
160,-1,4 22,-1,1 74,1,1 74,1,1 22,1,1 160,1,2 160,1,2 25,1,1 74,1,1
74,1,1
25,-1,1 160,-1,2 25,1,1 74,1,1 74,1,1 25,-1,1 160,1,2 25,1,1 74,1,1
74,1,1
4,-1,1 74,1,1 74,1,1 22,1,1 160,1,2 160,1,2 22,-1,1 74,1,1 74,1,1
63,1,1
22,-1,1 160,-1,2 20,-1,1 74,1,1 74,1,1 20,1,1 160,-1,4 22,1,1 74,1,1
74,1,1
22,-1,1 160,1,4 22,1,1 74,1,1 74,1,1 22,-1,1 160,1,2 160,1,2 20,-1,1
74,1,1
74,1,1 20,1,1 160,1,2 20,-1,1 74,1,1 74,1,1 20,1,1 160,-1,2 20,-1,1
74,1,1
74,1,1 0,1,1 74,1,1 74,1,1 22,-1,1 160,1,2 160,1,2 22,1,1 74,1,1
74,1,1
63,1,1 22,1,1
2 colour full-block parity
133,1,4 133,1,4 74,1,1 74,1,1 132,-1,2 24,-1,1 132,1,2 25,1,1
101,1,1 25,-1,1
132,-1,2 24,1,1 132,1,2 25,1,1 101,-1,1 25,-1,1 74,1,1 74,1,1
133,-1,4 133,1,2
187,1,1 187,1,1 133,-1,2 133,1,4 74,1,1 74,1,1 132,-1,2 24,-1,1
132,1,2 25,1,1
101,1,1 25,-1,1 132,-1,2 24,1,1 132,1,2 25,1,1 101,-1,1 25,-1,1
74,1,1 74,1,1
133,-1,4 133,1,2 187,1,1 187,1,1 133,-1,6
interesting parity situations. You may or may not need the
solutions for solving the flip parity that affects the block
of 2 edge pieces on the 3D Rubiks Revenge cube, it depends on
your solving method. I tried adapting the one that I use on
the RR=C2=A0 (link below)=C2=A0 but couldn't get it to work and=
=C2=A0 that is
due to the odd number of moves in the original sequence from
3D and this means that there is a lot of irreversible or
difficult to undo scramble in the other layers of the cube.
All of the techniques that I found on Youtube that address
this parity of the 3d RR have an odd number of moves and so
are not adaptable in my system so I had to find a new
technique. I think this was good though as I used one of the
techniques off of YT for the 3D RR so cheated on that one.
There is another way though which involves re-scrambling the
cube and taking adva ntage of the 50/50 chance of incidence of
this parity to get a non-parity game and solve it that way.
That may be fine for 3D but you=C2=A0 wouldn't want to do this on=
a
4^4 though not least due to the 1 in 4 chance of a non-parity
of the 2 colour pieces.
'Arial', 'san-serif', 'Roboto';" id=3D"enhancrCard_1"
class=3D"link-enhancr-attachment link-enhancr-element">
style=3D"width:450px;height:170px;margin-top:5px;margin-bottom:5px;display:=
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cellpadding=3D"0" cellspacing=3D"0">
style=3D"height:1px;background-color:#e5e5e5;">
style=3D"width:1px;background-color:#e5e5e5;">
style=3D"vertical-align:middle;width:168px;height:168px;background-color:#0=
00000;">
style=3D"width:1px;background-color:#e5e5e5;">
style=3D"width:100%;vertical-align:middle;font-family:'Helv=
etica
Neue', 'Helvetica', 'Arial', 'san-serif', 'Roboto';">
style=3D"line-height:16.5px;background-color:#ffffff;height:130px;width:279=
px;">
14px;"> icon-shrink link-enhancr-toggle">
link-enhancr-delete">
target=3D"_blank"
href=3D"http://www.youtube.com/watch?v=3DYoFWClUvE3Q"
class=3D"link-enhancr-card-urlWrapper
link-enhancr-element"
style=3D"text-decoration:none;color:#000000;">
link-enhancr-card-title"
style=3D"margin:0;font-weight:normal;margin-bottom:4px;font-size:18px;line-=
height:21px;max-height:43px;color:#000000;overflow:hidden;display:inline-bl=
ock;">Ea
siest Way to Memorize 4x4 Edge Parity (Tutorial)pan>
9;max-height:81px;font-family:'Helvetica
Neue', 'Helvetica', 'Arial', 'san-serif',
'Roboto';overflow:hidden;"
class=3D"link-enhancr-card-description
link-enhancr-element">Easiest Beginner Tutorial
for solving the 4x4 Edge Parity! ~~Looking for a
4x4 cube? Pick one up here:
.amazon.com/gp/product/B0">http://www.amazon.com/gp/product/B0...
style=3D"width:1px;background-color:#e5e5e5;">
style=3D"width:100%;vertical-align:middle;font-family:'Helv=
etica
Neue', 'Helvetica', 'Arial', 'san-serif', 'Roboto';">
target=3D"_blank"
href=3D"http://www.youtube.com/watch?v=3DYoFWClUvE3Q"
class=3D"link-enhancr-card -url link-enhancr-element"
style=3D"color:black;text-decoration:none;cursor:pointer;">
style=3D"display:inline-block;line-height:11px;max-width:179px;min-width:11=
9px;overflow:hidden;max-height:13px;">
link-enhancr-mobile-no-resize"
style=3D"vertical-align:middle;font-size:9px;line-height:11px;color:#999999=
;">
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om
link-enhancr-element" title=3D"1280">
link-enhancr-element" title=3D"720">
title=3D"https://www.youtube.com/embed/YoFWClUvE3Q">pan>
style=3D"vertical-align:middle;width:100px;font-family:'Hel=
vetica
Neue', 'Helvetica', 'Arial', 'san-serif', 'Roboto';">
20px 12px
0px;max-width:100px;min-width:80px;overflow:hidden;text-align:right;line-he=
ight:11px;max-height:13px;font-size:0pt;">
link-enhancr-preview-by
link-enhancr-mobile-no-resize"
style=3D"line-height:11px;vertical-align:middle;font-size:9px;line-height:1=
1px;color:#999999;">
Preview by Yahoo
style=3D"height:1px;background-color:#e5e5e5;">
also some screenshots I include of these situations.
The first instance - 2 Colour Full-Block Parity.
If you have assembled all the 1, 2, and 3 colour pieces into
their respective blocks thus reducing the cube down to a 3^4
and then proceed to solve as such y ou may come across this
parity when you come to solving the last of the 2 colour
blocks of 4 pieces and find one of them flipped. The sequence
to resolve this takes up to 45 moves and can be done as soon
as you recognize this or at the end of the game.
The second instance -2 Colour Half-Block Parity.
colour piece assembly phase and is best resolved=C2=A0 beforean>
only 20 moves at this point, but leave it late in the game it
will need 81 moves as the sequence affects a number of other
pieces too and these would then need to be restored.
have the same pairs of colours on the Top face, the other pairs
of colours are flipped and the pairs of pieces are opposite to
where they should be. The sequence to fix this is again adapted
from 3D and is 52 moves long.
/p>
colour pieces and then solving as a 3^4 with the LBL technique
rules out this parity but it may occur with other solving
methods. It is similar to the 3D version but this time it is a
3 cycle not a 2. This sequence is 82 moves long and uses the
adaptation of the 3D version mentioned above, some other
moves, and then the reverse of the first sequence
its mirror image from the back face then the reversal of the
other moves and so get the 3 cycle parity.
=20=20=20=20=20=20=20=20
--------------040502020009090908080106--
--------------060905010303090801040003
Content-Type: text/plain; charset=utf-8; format=flowed
Content-Transfer-Encoding: quoted-printable
There is no move currently planned but Yahoo's commitment does not feel=20
strong so I expect we will need to move at some point. That's all.
The best place for solutions and articles is probably in the wiki here=20
off-line to get you set up.
There is a version of Don's core puzzle implementation that supports=20
almost everything you could possibly want but it needs to be integrated=20
and that could be a big job. It's on Don's list of things he intends to=20
do but there's no telling if or when that will happen. I will work from=20
the front end with whoever manages to do it and they will become a hero=20
when it's done. Until then, whatever new puzzles you can get to work=20
with the build-your-own option will be all you get, sorry.
Congratulations on solving some very non-trivial non-cubes. I would love=20
to see more people solving them. There a many lovely ones that have=20
never been solved, and first-solve records can never be broken!
-Melinda
On 4/27/2016 5:49 PM, alexanderrouse@yahoo.co.uk [4D_Cubing] wrote:
>
>
> Hello Melinda
>
> Thats ok. I will provide any sequences in log file notation or Roices=20
> system for time being. Any idea when the move will take place? I must=20
> get around to making an article of my adaptation system soon. It has=20
> worked well on over 30 hypercubes and works on the dodecahedral prism=20
> too. Beat the level 2 in 1035 moves. I played the first dodecahedron=20
> cell like a megaminx in the normal way and when that was done played=20
> the other cell the same but under my system for twice the effort. It's=20
> like playing 2 megaminxes but needing the effort of 3. The 3,3=20
> uniform duoprism was a nice little puzzle and took 11 moves first go.=20
> One more thing, I have tried creating both the octahedral and the=20
> icosahedral prisms in Mc4d but haven't had any luck. I tried inputting=20
> the Schlafli notations that would correspond to those objects but=20
> nothing seems to work. Can the program support these?
>
> -Alex
>
>=20
--------------060905010303090801040003
Content-Type: text/html; charset=utf-8
Content-Transfer-Encoding: quoted-printable
">
There is no move currently planned but Yahoo's commitment does not
feel strong so I expect we will need to move at some point. That's
all.
The best place for solutions and articles is probably in the wiki
Follow-up with me off-line to get you set up.
There is a version of Don's core puzzle implementation that supports
almost everything you could possibly want but it needs to be
integrated and that could be a big job. It's on Don's list of things
he intends to do but there's no telling if or when that will happen.
I will work from the front end with whoever manages to do it and
they will become a hero when it's done. Until then, whatever new
puzzles you can get to work with the build-your-own option will be
all you get, sorry.
Congratulations on solving some very non-trivial non-cubes. I would
love to see more people solving them. There a many lovely ones that
have never been solved, and first-solve records can never be broken!
-Melinda
Hello Melinda
Thats ok. I will provide any sequences in log file notation or
Roices system for time being. Any idea when the move will take
place?=C2=A0 I must get around to making an article of my adaptation
system soon. It has worked well on over 30 hypercubes and works on
the dodecahedral prism too. Beat the level 2 in 1035 moves. I
played the first dodecahedron cell like a megaminx in the normal
way and when that was done played the other cell the same but
under my system for twice the effort. It's like playing 2
megaminxes but needing the effort of 3. =C2=A0 =C2=A0 The 3,3 uniform
duoprism was a nice little puzzle and took 11 moves first go. One
more thing, I have tried creating both the octahedral and the
icosahedral prisms in Mc4d but haven't had any luck. I tried
inputting the Schlafli notations=C2=A0 that would correspond to those
objects but nothing seems to work. Can the program support=C2=A0 thes=
e?
-Alex
=20=20=20=20=20=20
--------------060905010303090801040003--