Hello all of my 4D friends :)
It's about time I got back to this crazy obsession of mine! I was
devastated by Remi's improvement on my 3^4 checkerboard solution. After
reducing the 2+ year record from 40 to 36 to 32 and then 28, I just knew
it would stick. I spent so much time with this cube (I'm sure you're well
aware :) trying to fully understand it and explaining its mathematical
construction and projection to numerous people (poor calculus students).
The realization that most people in the world could never give two shits
about it was hard for me to stomach. I had a really rough time when my
mom not only expressed how much she didn't get it, but warned me of
explaining it to those close to me, as if it was a freakin' waste of time
:( and I'd only bore people with all of the math details.
So 8 months later, here we are. I have to give Remi the majority of the
credit for this solution. After discovering my 32 twist solution to the
3^4 checkerboard, I viewed Remi's solutions. I then adapted an algorithm
directly from his 5^4 solution in order to reduce the 3^4 record further
to 28. I was shocked that during the 2 years the records held, Remi
didn't notice that he essentially had already discovered the necessary
algorithm. So I took advantage of it and BAMM! I was so stoked! Well,
when he found out about it he had to one up me and removed a few more
twists. He had the incite to leave the subgroup I was using (only 180
degree twists using, say, the purple/* 2-color cubies where * is one of
the colors "glued" to purple).
So I've used the exact same trick which HE discovered on the 3^4 to reduce
HIS 5^4 solution. But I feel only slightly guilty for taking away his
record with such a minor incite, as Remi had 8 months to realize that
this. And I challenge him and anyone else to try to reduce it further.
Not that I want my record to be broken again. But if it is, I'll be
satisfied knowing that I was a part of it's history.
Thank you all for your interest in this group, for all of your messages
which I've enjoyed reading, and your inspiration to continue puzzling. A
special thanks to Roice for his continued work in making these puzzles
possible and easier to solve. I hope to soon invest the time to solve the
4^4 and 5^4 cubes, and maybe the hyperminx!
Congratulations on all of your achievements! Good luck on your future ones!
Peace and Love,
Mark Shaw
Yeah, I know the feeling of no one caring. Well congrats on finding a
new record. The only thing that's going to be disappointing is when we
actually do find the shortest and people then waste their lives trying
to find a shorter than the shortest. =3DP
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charset="iso-8859-1"
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Hello Mark!
I'll start by saying someting funny: Today again I got the proof that I hav=
e some special gift. From nowhere I just typed link to my page with the sho=
rtest solutions in classical solves (http://genezis.autko.net/hypercube/sho=
rtest/hallofshort.htm) and something push me to check if there are some cha=
nges on superliminal page... And Bamm! I lost one of my records. I looked o=
n date and there was today's date!=20
I just checked the email to find your post :) First the all: CONGRATULATION=
S! After beating my record in 3^4 I spend some time analysing your solution=
and I hadn't found much joy in only slightly improving your solution (It's=
funny that you say that you learn it how to improve your solution analysin=
g my previous solutions).
I've tried to implement my final result from 3^4 to 5^4 but I failed... (I'=
ve tried for at least one week so I spend some time on it...)
It's harder and harder to find time for solving hypercubes. I still try fro=
m time to time to put some pieces on shortest 3^4 (but, to keep Roice calm,=
it's not going so well I hoped).Congratulation again. Keep hypersolving.
All teh best,
RemiQ
----- Original Message -----=20
From: mshaw@math.utexas.edu=20
To: 4D_Cubing@yahoogroups.com=20
Cc: 4d_cubing@yahoogroups.com=20
Sent: Sunday, September 21, 2008 6:36 PM
Subject: [MC4D] A new record for the 5^4 checkerboard! Sorry Remi!
Hello all of my 4D friends :)
It's about time I got back to this crazy obsession of mine! I was
devastated by Remi's improvement on my 3^4 checkerboard solution. After
reducing the 2+ year record from 40 to 36 to 32 and then 28, I just knew
it would stick. I spent so much time with this cube (I'm sure you're well
aware :) trying to fully understand it and explaining its mathematical
construction and projection to numerous people (poor calculus students).=
=20
The realization that most people in the world could never give two shits
about it was hard for me to stomach. I had a really rough time when my
mom not only expressed how much she didn't get it, but warned me of
explaining it to those close to me, as if it was a freakin' waste of time
:( and I'd only bore people with all of the math details.
So 8 months later, here we are. I have to give Remi the majority of the
credit for this solution. After discovering my 32 twist solution to the
3^4 checkerboard, I viewed Remi's solutions. I then adapted an algorithm
directly from his 5^4 solution in order to reduce the 3^4 record further
to 28. I was shocked that during the 2 years the records held, Remi
didn't notice that he essentially had already discovered the necessary
algorithm. So I took advantage of it and BAMM! I was so stoked! Well,
when he found out about it he had to one up me and removed a few more
twists. He had the incite to leave the subgroup I was using (only 180
degree twists using, say, the purple/* 2-color cubies where * is one of
the colors "glued" to purple).
So I've used the exact same trick which HE discovered on the 3^4 to reduc=
e
HIS 5^4 solution. But I feel only slightly guilty for taking away his
record with such a minor incite, as Remi had 8 months to realize that
this. And I challenge him and anyone else to try to reduce it further.=20
Not that I want my record to be broken again. But if it is, I'll be
satisfied knowing that I was a part of it's history.
Thank you all for your interest in this group, for all of your messages
which I've enjoyed reading, and your inspiration to continue puzzling. A
special thanks to Roice for his continued work in making these puzzles
possible and easier to solve. I hope to soon invest the time to solve the
4^4 and 5^4 cubes, and maybe the hyperminx!
Congratulations on all of your achievements! Good luck on your future one=
s!
Peace and Love,
Mark Shaw
=20=20=20
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w3c.org/TR/1999/REC-html401-19991224/loose.dtd">
Hello all of my 4D friends :)
It's about time I got back to thi=
s=20
crazy obsession of mine! I was
devastated by Remi's improvement on my =
3^4=20
checkerboard solution. After
reducing the 2+ year record from 40 to 36=
to=20
32 and then 28, I just knew
it would stick. I spent so much time with =
this=20
cube (I'm sure you're well
aware :) trying to fully understand it and=
=20
explaining its mathematical
construction and projection to numerous pe=
ople=20
(poor calculus students).
The realization that most people in the wor=
ld=20
could never give two shits
about it was hard for me to stomach. I had =
a=20
really rough time when my
mom not only expressed how much she didn't g=
et=20
it, but warned me of
explaining it to those close to me, as if it was =
a=20
freakin' waste of time
:( and I'd only bore people with all of the mat=
h=20
details.
So 8 months later, here we are. I have to give Remi the=20
majority of the
credit for this solution. After discovering my 32 twis=
t=20
solution to the
3^4 checkerboard, I viewed Remi's solutions. I then ad=
apted=20
an algorithm
directly from his 5^4 solution in order to reduce the 3^4=
=20
record further
to 28. I was shocked that during the 2 years the record=
s=20
held, Remi
didn't notice that he essentially had already discovered th=
e=20
necessary
algorithm. So I took advantage of it and BAMM! I was so stok=
ed!=20
Well,
when he found out about it he had to one up me and removed a few=
=20
more
twists. He had the incite to leave the subgroup I was using (only=
=20
180
degree twists using, say, the purple/* 2-color cubies where * is o=
ne=20
of
the colors "glued" to purple).
So I've used the exact same t=
rick=20
which HE discovered on the 3^4 to reduce
HIS 5^4 solution. But I feel =
only=20
slightly guilty for taking away his
record with such a minor incite, a=
s=20
Remi had 8 months to realize that
this. And I challenge him and anyone=
else=20
to try to reduce it further.
Not that I want my record to be broken a=
gain.=20
But if it is, I'll be
satisfied knowing that I was a part of it's=20
history.
Thank you all for your interest in this group, for all of=
your=20
messages
which I've enjoyed reading, and your inspiration to continue=
=20
puzzling. A
special thanks to Roice for his continued work in making t=
hese=20
puzzles
possible and easier to solve. I hope to soon invest the time t=
o=20
solve the
4^4 and 5^4 cubes, and maybe the=20
hyperminx!
Congratulations on all of your achievements! Good luck =
on=20
your future ones!
Peace and Love,
Mark Shaw
| 12px Courier New, Courier, monotype.com; padding: 3px; background: #ffffff;= |
--- In 4D_Cubing@yahoogroups.com, "spel_werdz_rite"
>
> Yeah, I know the feeling of no one caring. Well congrats on finding a
> new record. The only thing that's going to be disappointing is when
> we actually do find the shortest and people then waste their lives
> trying to find a shorter than the shortest. =3DP
Then it's time to prove that it's the shortest. And only then you can
consider the problem as completely solved.
Thibaut.
thibaut.kirchner wrote:
> --- In 4D_Cubing@yahoogroups.com, "spel_werdz_rite"
>
>
>> Yeah, I know the feeling of no one caring. Well congrats on finding a
>> new record. The only thing that's going to be disappointing is when
>> we actually do find the shortest and people then waste their lives
>> trying to find a shorter than the shortest. =P
>>
>
> Then it's time to prove that it's the shortest. And only then you can
> consider the problem as completely solved.
>
> Thibaut.
>
Once that happens, I will create a new category for the shortest proof. :-)
-melinda
Dear Remi (et all),
So I guess it's time to have a history of the checkerboard solutions added
to your hallofshort.html! What a freak coincidence! The actual
accomplishment took place on the 19th not today, but I wanted to wait a
couple days in case some obvious improvement came forth.
REMI:
> I just checked the email to find your post :) First the all:
> CONGRATULATIONS! After beating my record in 3^4 I spend some time
> analysing your solution and I hadn't found much joy in only slightly
> improving your solution (It's funny that you say that you learn it how to
> improve your solution analysing my previous solutions).
> I've tried to implement my final result from 3^4 to 5^4 but I failed...
> (I've tried for at least one week so I spend some time on it...)
Wow! I'm really shocked! Consider the canonical embedding of the 3^4
into the 5^4 cube. That is ignore all pieces except the pieces you see in
3^4, (for each color combination) only one 3-color piece instead of three,
only one 2-color piece instead of nine, only one 1-color piece instead of
27. If you do this then, 2-twists don't matter, only 1-twists and
3-twists matter. Now look at your 5^4 solution and treat all 3-twists as
2-twists on the 3^4 cube.
Interestingly, I recreated your 5^4 solution without viewing yours (since
last year) only by listing my 3^4 solution up to 5^4 applying the secret
algorithm twice with two different embeddings. These can best be seen on
the rubix professor and then listed to 4-D. One is restricting to
1-twists as in the typical final steps of the 5^3 solution. The other is
restricting to only 2-slices (i.e. simultaneous 1-twists and 2-twists).
You will see that the mathematical structure of the 5^3 with either of
these restrictions is the same as that of the 3^3 rubix cube.
And then, of course, broke your 5^4 record by lifting your 3^4 record,
improving it in the same manner you improved mine!
Well now I'm glad I didn't tell you how my solution was lifted from yours,
so that I could steal your 5^4 record before you improved it yourself. lol
sorry you spent so much time on it. You really deserve the credit! And
you will always have the FIRST :)
I have so much to say about my background/introduction :), about
subgroups, symmetry groups, and comments on many of the previous posts,
but this will soon come.
Peace and Love,
Markbob