Thread: "Guess what is it :)"

From: "Andrey" <andreyastrelin@yahoo.com>
Date: Wed, 16 Jun 2010 21:21:04 -0000
Subject: Guess what is it :)



http://shade.msu.ru/~astr/gigs/pics/MC/www.jpg





From: "Andrey" <andreyastrelin@yahoo.com>
Date: Wed, 16 Jun 2010 17:56:18 -0400
Subject: Guess what is it :)



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Is that six dimensional? Is it functional?

Given that I have exams next week, this isn't the best time for me to find
out about this!

On Wed, Jun 16, 2010 at 5:21 PM, Andrey wrote:

>
>
> http://shade.msu.ru/~astr/gigs/pics/MC/www.jpgr/gigs/pics/MC/www.jpg>
>
>=20=20
>

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Is that six dimensional?=A0 Is it functional?

Given that I have exam=
s next week, this isn't the best time for me to find out about this!>

On Wed, Jun 16, 2010 at 5:21 PM, Andrey an dir=3D"ltr"><andreyastrel=
in@yahoo.com
> wrote:

r-left: 1px solid rgb(204, 204, 204); padding-left: 1ex;">














=A0







=20=20=20=20=20

=20=20=20=20







=20=20









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From: Melinda Green <melinda@superliminal.com>
Date: Wed, 16 Jun 2010 18:27:23 -0700
Subject: Re: [MC4D] Guess what is it :)



Looks more like seven dimensions to me because each sticker of the big
4D cube has an additional 3 dimensions of its own. Still, it's very odd
because the big puzzle has edge length 3 whereas the stickers are
divided into edge length 5 (and missing the edge pieces). Even if they
had the same lengths I doubt it would be a strict analog of the
Rubik-style puzzles we're used to.

My guess or perhaps my hope is that it's really a fractal 4D cube in the
style of the fractal 3D void cubes that we'd talked about a few months
ago. My hope is that clicking on any of the level 1 stickers (the tiny
ones) will perform a normal 4D twist in that local region of that tiny
4^4 while simultaneously performing a normal 4D twist of the whole level
2 puzzle. In fact I think that I can even see the twist most likely to
bring it closer to being solved. It would be a left click on a salmon
colored left facing center-center level 1 sticker of the left facing
center-center level 2 sticker at the very topmost edge of the image
slightly to the right of center. That's my guess and I'm sticking to
it! :-)

It's frighteningly impressive too and that's for certain.
-Melinda

Anthony Deschamps wrote:
>
>
> Is that six dimensional? Is it functional?
>
> Given that I have exams next week, this isn't the best time for me to
> find out about this!
>
> On Wed, Jun 16, 2010 at 5:21 PM, Andrey > > wrote:
>
>
>
> http://shade.msu.ru/~astr/gigs/pics/MC/www.jpg
>
>
>




From: "Andrey" <andreyastrelin@yahoo.com>
Date: Thu, 17 Jun 2010 04:25:45 -0000
Subject: Re: [MC4D] Guess what is it :)



Yes, it's 3^7 cube. What we see is 13 faces of one "slice" 3^4*1^3 - large =
faces look like 3^3*3^3 cube and small (3^3*3^2*1) are divided to 3*3 squar=
es and attached to sides of 3^3 blocks. These "secondary" stickers are smal=
ler than main ones.=20
Now only visualization and twists are implemented (twists are two-click w=
ith a little complicated rules of selection of first sticker - it's difficu=
lt to find 2C in this picture, so some other stickers can play the same rol=
e). Next I'm going to write cube rotations and undo/redo/load/save/scramble=
- and it will be time to give it to group :)

Andrey




From: "matthewsheerin" <damienturtle@hotmail.co.uk>
Date: Thu, 17 Jun 2010 12:14:13 -0000
Subject: Re: [MC4D] Guess what is it :)



Wow, that looks crazy! I don't fully understand the interface just now, bu=
t if you manage to release the program I will play around with it until I d=
o. A quick table of calculations in Excel gives (please point out any erro=
rs, this was done quickly):

0C: 1 piece
1C: 14 pieces
2C: 84 pieces
3C: 280 pieces
4C: 560 pieces
5C: 672 pieces
6C: 448 pieces
7C: 128 pieces
visible pieces: 2186
moveable pieces: 2172
stickers: 10206

I have just one minor issue here (other than potentially feeling the need t=
o solve it!). 3^3, 3^4, 3^5, 3^7 ... ?
3 ... 4 ... 5 ... 7 ... huh?
Either my basic arithmatic is off here, or we have skipped 6D. Any particu=
lar reason for this? Then again, I like the number 7, so I probably should=
n't complain too much.

Good luck implementing the rest of the interface, I look forward to seeing =
the finished product. Out of curiosity, will this be the only n^7, or will=
there be other sizes? Not that we particularly need any bigger ones!


Matt

--- In 4D_Cubing@yahoogroups.com, "Andrey" wrote:
>
> Yes, it's 3^7 cube. What we see is 13 faces of one "slice" 3^4*1^3 - larg=
e faces look like 3^3*3^3 cube and small (3^3*3^2*1) are divided to 3*3 squ=
ares and attached to sides of 3^3 blocks. These "secondary" stickers are sm=
aller than main ones.=20
> Now only visualization and twists are implemented (twists are two-click=
with a little complicated rules of selection of first sticker - it's diffi=
cult to find 2C in this picture, so some other stickers can play the same r=
ole). Next I'm going to write cube rotations and undo/redo/load/save/scramb=
le - and it will be time to give it to group :)
>=20
> Andrey
>




From: "Andrey" <andreyastrelin@yahoo.com>
Date: Thu, 17 Jun 2010 12:45:56 -0000
Subject: Re: [MC4D] Guess what is it :)



No, 6D is not missed - it can be selected as an option in the menu (honestl=
y, I didn't try it - I tested program only in 5D and in 7D). 7D is just mor=
e symmetrical and gives better pictures.=20
Go to 8D and more is more difficult, but still possible: it requires next=
level of the fractal structure (replace every sticker of 3^7 to the sandwi=
ch of 5 stickers, and you'll get 3^8, but I don't know how to describe to v=
isible part of its surface).
Numbers look to be correct, but 10206 is the number of stickers visible i=
n 7D (that is, potentially visible in the model). Actual number of stickers=
in the screen is... 15309 (because most small sticker appear more than onc=
e). It's difficult to calculate the number of different visible stickers - =
6D geometry is not very easy thing to work with it.
5^7 has 75384 moving parts, 218750 visible in 7D stickers and 240625 stic=
kers in the screen (I thought that there will be more).

Andrey





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