Thread: "3^4 solved"

Ah Thanks Ray. I =
had gotten as far as zhumala with MC7D- wanting to try higher dim cubes but=
not understanding what clicking was doing and not finding directions in th=
e ten minutes I devoted to the project. It looks like everything I might wa=
nt is in that link.

By the way is it possible to m=
ake twisty puzzles out of the Archimedian solids in 3D and not just platoni=
c? How about uniform polyhedra? Could I do any of this in MagicTile? I have=
n=92t tried it out yet.

Cheers,

Davev>


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From: zhulama@gmail.com
Date: 13 Jul 2016 12:35:25 -0700
Subject: Re: 3^4 solved

---

From: llamaonacid@gmail.com
Date: Wed, 13 Jul 2016 17:54:19 -0400
Subject: Re: 3^4 solved

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Hi Edward,

First of all, I love listing things!...I just don't do it often.

Anyway, congrats on the solve. 1200+ moves doesn't sound like that much
considering how it's your first solve; I bet if you solve it once or twice
the number will go down to around 1000 (or even less). Layer by layer is a
good idea; you can even use CFOP on it. However, I'm not sure about solving
the 5^4 one layer at a time.

Number theory is cool sometimes, and I mean sometimes since modular
arithmetic didn't click for me last term (especially non-linear
congruences) and since I often add up two-digit numbers wrong in my head.
Maybe once I get those sorted out, I'll continue reading about numbers. The
research + simulations part seems real fun though.

Also, you play flute? I've always wanted to learn how to play the
flute...except when I have more energy. A tenor sax would probably work
better in that case. Anyway, how to make a note come out on the flute is
still a great mystery to me. Actually, music and math is still a great
mystery to me in general. Is number theory involved there?


10/10 suggest you go solve the 5^4 or at least the 4^4,

Ray

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From: Roice Nelson <roice3@gmail.com>
Date: Thu, 14 Jul 2016 17:19:53 -0500
Subject: Re: [MC4D] 3^4 solved

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Hi Dave,

Regarding your question about the archimedean/uniform polyhedra, that's
totally possible! I've seen some physical puzzles using archimedean
solids, like here
le%20).html>
and here
0>.
I don't know of software doing this, but would be surprised if some didn't
exist somewhere. Anybody here know any? (That was a slight lie, because
one version of Don's MC4D that hasn't been released supports 3D archimedean
variants.)

Unfortunately MagicTile does not support this yet. It only supports
surfaces whose universal cover is a regular tiling. There are some puzzles
that are irregular in the sense of colorings rather than the underlying
tiling, but that's different than what you are asking about. I'd like it
to support uniform tilings, but it would be a big undertaking and likely
require a ground-up rewrite.

I did want to point out that MC4D supports a lot of uniform polytopes (by
which I mean the polytope is vertex-transitive, but not transitive on all
flags - there are more ways a dimension up for things to be irregular, and
the term "uniform" doesn't really capture that).

Best,
Roice


On Tue, Jul 12, 2016 at 11:06 PM, David Reens dave.reens@gmail.com
[4D_Cubing] <4D_Cubing@yahoogroups.com> wrote:

>
>
> Ah Thanks Ray. I had gotten as far as zhumala with MC7D- wanting to try
> higher dim cubes but not understanding what clicking was doing and not
> finding directions in the ten minutes I devoted to the project. It looks
> like everything I might want is in that link.
>
> By the way is it possible to make twisty puzzles out of the Archimedian
> solids in 3D and not just platonic? How about uniform polyhedra? Could I =
do
> any of this in MagicTile? I haven=E2=80=99t tried it out yet.
>
> Cheers,
> Dave
>
> On Jul 12, 2016, at 5:28 PM, Ray Zhao thermostatico@gmail.com [4D_Cubing]
> <4D_Cubing@yahoogroups.com> wrote:
>
>
> Hi there,
>
> Tagging things sounds real awesome. I've no idea how it works though -- i=
s
> there a range limit?
>
> Great job with the 3^4, and even better (in my super-biased opinion) that
> you want to go solve even more higher-dimensional puzzles.
> I'll post this just in case you haven't seen it:
> http://astr73.narod.ru/MC7D/instr.html
> 3-click mode may be your thing.
>
> Also, do give MC5D a try, just in case it works out. I will admit however
> that it feels slightly buggier in some cases, especially on the 3^5.
>
>
>
>
>
>
>
>
>=20
>

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From: phamthihoa4444@gmail.com
Date: 14 Jul 2016 20:37:26 -0700
Subject: Re: 3^4 solved

---

From: phamthihoa4444@gmail.com
Date: Fri, 15 Jul 2016 10:02:20 -0500
Subject: Re: 3^4 solved

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Nice! Thanks for sharing that.

It's ends up looking similar to the MagicTile steregraphic projection of
spherical puzzles, so I quite like the view. It would be nice if it didn't
require the multi-click twisting, but still very cool these are possible in
magic puzzle ultimate.

For anyone in the group who hasn't tried it, Andrey's program is here:
http://cardiizastrograda.com/astr/MPUlt/ All you need to do is edit the
'MPUlt_puzzles.txt' file to add the lines Hoa shared.

Roice


On Thu, Jul 14, 2016 at 10:37 PM, phamthihoa4444@gmail.com [4D_Cubing] <
4D_Cubing@yahoogroups.com> wrote:

>
>
> MPUlt is possible of doing this, as long as you understand the structure
> of MPUlt_puzzles file.
>
> For example, a cuboctahedron:
>
> Puzzle TruncatedCube
> Dim 3
> NAxis 2
> Faces 1,0,0 0.666666,0.666666,0.666666
> Group 1,0,0/1,1,0 1,0,0/1,0,1
> Axis 1,0,0
> Twists 0,0,1/0,1,1
> Cuts 0.8 -0.8
> Axis 0.66667,-0.66667,0.66667
> Twists -0.166667,0.166667,0.33333/0.33333,0.66667,0.33333
> Cuts 0.8 -0.8
>
>
> Unfortunately MPUlt has high distortion.
>
>
>=20
>

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From: Dave Reens <dave.reens@gmail.com>
Date: Sat, 16 Jul 2016 08:07:58 -0600
Subject: Re: [MC4D] 3^4 solved

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Hi Roice,

Thanks for your clear answer, and for those links! Yeah I'm sure a ground u=
p rewrite isn't too appealing. I'm really impressed that icosidodecahedron =
and great rhombicosidodecahedron physical puzzles exist though, wouldn't ha=
ve guessed. It's interesting how the slicing of the soccer ball puts pentag=
rams on the pentagon faces. Well I guess that's obvious. In fact I guess yo=
u can slice a pentagram so as to get pentagons as well. Maybe there are Arc=
himedean twisty puzzles that are the "duals" of uniform twisty puzzles in t=
he sense that one puzzle can be thought of as a sliced version of either po=
lyhedron?

That's interesting about other transitivity violations for polytopes. It's =
obvious that "face polyhedron" transitivity gets violated for a bunch of th=
e prismatic ones. I'll have to try to think about face and edge transitivit=
y too though- seems like a fun mental challenge :-)

Dave

> On Jul 14, 2016, at 4:19 PM, Roice Nelson roice3@gmail.com [4D_Cubing] <4=
D_Cubing@yahoogroups.com> wrote:
>=20
> Hi Dave,
>=20
> Regarding your question about the archimedean/uniform polyhedra, that's t=
otally possible! I've seen some physical puzzles using archimedean solids,=
like here and here. I don't know of software doing this, but would be sur=
prised if some didn't exist somewhere. Anybody here know any? (That was a =
slight lie, because one version of Don's MC4D that hasn't been released sup=
ports 3D archimedean variants.)
>=20
> Unfortunately MagicTile does not support this yet. It only supports surf=
aces whose universal cover is a regular tiling. There are some puzzles tha=
t are irregular in the sense of colorings rather than the underlying tiling=
, but that's different than what you are asking about. I'd like it to supp=
ort uniform tilings, but it would be a big undertaking and likely require a=
ground-up rewrite.
>=20
> I did want to point out that MC4D supports a lot of uniform polytopes (by=
which I mean the polytope is vertex-transitive, but not transitive on all =
flags - there are more ways a dimension up for things to be irregular, and =
the term "uniform" doesn't really capture that).
>=20
> Best,
> Roice
>=20
>=20
>> On Tue, Jul 12, 2016 at 11:06 PM, David Reens dave.reens@gmail.com [4D_C=
ubing] <4D_Cubing@yahoogroups.com> wrote:
>>=20
>>=20
>> Ah Thanks Ray. I had gotten as far as zhumala with MC7D- wanting to try =
higher dim cubes but not understanding what clicking was doing and not find=
ing directions in the ten minutes I devoted to the project. It looks like e=
verything I might want is in that link.
>>=20
>> By the way is it possible to make twisty puzzles out of the Archimedian =
solids in 3D and not just platonic? How about uniform polyhedra? Could I do=
any of this in MagicTile? I haven=E2=80=99t tried it out yet.
>>=20
>> Cheers,
>> Dave
>>=20
>>> On Jul 12, 2016, at 5:28 PM, Ray Zhao thermostatico@gmail.com [4D_Cubin=
g] <4D_Cubing@yahoogroups.com> wrote:
>>>=20
>>>=20
>>> Hi there,
>>>=20
>>> Tagging things sounds real awesome. I've no idea how it works though --=
is there a range limit?
>>>=20
>>> Great job with the 3^4, and even better (in my super-biased opinion) th=
at you want to go solve even more higher-dimensional puzzles.=20
>>> I'll post this just in case you haven't seen it: http://astr73.narod.ru=
/MC7D/instr.html
>>> 3-click mode may be your thing.
>>>=20
>>> Also, do give MC5D a try, just in case it works out. I will admit howev=
er that it feels slightly buggier in some cases, especially on the 3^5.
>=20
>=20

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charset=utf-8
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=3Dutf-8">

=3D"cite">

=20

 

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

Hi Dave,

Regarding your qu=
estion about the archimedean/uniform polyhedra, that's totally possible!&nb=
sp; I've seen some physical puzzles using archimedean solids, like href=3D"http://tonyfisherpuzzles.net/063%20Trunc%20Dogic%20(%20Rubik%20type=
%20puzzle%20).html">here and .com/index.php?route=3Dproduct/product&product_id=3D60">here. =
I don't know of software doing this, but would be surprised if some didn't=
exist somewhere.  Anybody here know any? (That was a slight lie, beca=
use one version of Don's MC4D that hasn't been released supports 3D archime=
dean variants.)

Unfortunately MagicTile does not s=
upport this yet.  It only supports surfaces whose universal cover is a=
regular tiling.  There are some puzzles that are irregular in the sen=
se of colorings rather than the underlying tiling, but that's different tha=
n what you are asking about.  I'd like it to support uniform tilings, =
but it would be a big undertaking and likely require a ground-up rewrite.div>

I did want to point out that MC4D supports a lot of=
uniform polytopes (by which I mean the polytope is vertex-transitive, but =
not transitive on all flags - there are more ways a dimension up for things=
to be irregular, and the term "uniform" doesn't really capture that).>

Best,

Roice

=3D"gmail_extra">

On Tue, Jul 12, 2016 at 11:=
06 PM, David Reens ">dave.reens@gmail.com [4D_Cubing] <lto:4D_Cubing@yahoogroups.com" target=3D"_blank">4D_Cubing@yahoogroups.com<=
/a>> wrote:

0px 0px 0px 0.8ex;border-left-width:1px;border-left-style:solid;border-left=
-color:rgb(204,204,204);">






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

Ah Thanks Ray. I had gotten as far as zhumala with MC7D- wanting to tr=
y higher dim cubes but not understanding what clicking was doing and not fi=
nding directions in the ten minutes I devoted to the project. It looks like=
everything I might want is in that link.

By the w=
ay is it possible to make twisty puzzles out of the Archimedian solids in 3=
D and not just platonic? How about uniform polyhedra? Could I do any of thi=
s in MagicTile? I haven=E2=80=99t tried it out yet.

v>Cheers,

Dave

On Jul 12, 2016, at 5:28 =
PM, Ray Zhao t=
hermostatico@gmail.com [4D_Cubing] <ogroups.com" target=3D"_blank">4D_Cubing@yahoogroups.com> wrote:v>

ze:12px;font-style:normal;font-variant:normal;font-weight:normal;letter-spa=
cing:normal;text-align:start;text-indent:0px;text-transform:none;white-spac=
e:normal;">

ans-serif;">

px 0px 1em;">

Hi there,

Tagging thing=
s sounds real awesome. I've no idea how it works though -- is there a range=
limit?

Great job with the 3^4, and even better (in my super-biased =
opinion) that you want to go solve even more higher-dimensional puzzles.an> 
I'll post this just in case you haven't seen it:&=
nbsp;lank">http://astr73.narod.ru/MC7D/instr.html

3-click mode=
may be your thing.

Also, do give MC5D a try, just in cas=
e it works out. I will admit however that it feels slightly buggier in some=
cases, especially on the 3^5.

iv style=3D"margin:0px 0px 1em;">

5,255,255);min-height:0px;">

Hi Dave,

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