fish pattern

[Edam]

Here's my efforts, I've run into 2 swapped edges but otherwise it's ok.
R F2 D' L' U' F2 U L2 D L' F' D

I started off using a cube but it gave me a headache after about half an hour so I switched to cube explorer and tried to piece it together like a jigsaw.

 

[Stefan]

Very nice anyway. I did that on a real cube and did switch those two edges. Looks nice now but also confusing.

 

[Feanaro]

So it's impossible to get the fish on all sides then?

 

[Edam]

if this is the fish:
XXO
XXO
OOX

then no, on a regular cube it's not possible. you'd have to flip 2 edges.

 

[Stefan]

then no, on a regular cube it's not possible. you'd have to flip 2 edges.

In general? Just because that'd be needed for the pattern you have in mind? (btw you mean swap, not flip)

 

[cuBerBruce]

I just ran a program to count the number of 2x2x2 positions containing a given number of checkerboard faces. Assuming I coded it correctly, the distribution is:

checker-
board     number of
faces     positions
-----     ---------
  0        3264707
  1         384228
  2          24450
  3            772
  4              3
  5              0
  6              0

So only 3 positions have four checkerboard faces, and none have more than four.

 

[Edam]

oh I do don't I. whoops.

when Feanaro asked if it was possible I assumed it was a follow on from us talking about making the pattern with same colour 'edges'.
I've been playing around to see if I can make it any way at all and haven't managed anything yet.

 

[Herbert Kociemba]

The fish pattern is not possible on all six sides, because Cube Explorer gives no output from the Pattern Editor if you enter the pattern. But I assume nobody exept me who programmed it will accept this "prove". If the colours of the non-fish facelets may be different (but the same colours for adjacent faclets) there are exactly two possibilites up to symmetry:

U' L2 F2 U2 B' U R D2 R' F2 L D L' D2 U2 (15f*)
B2 R' F' D' F R' B U2 R B' U2 R' B' R' F' L2 (16f*)

 

[mrCage]

Do the fish pattern on a 4x4x4 cube instead It becomes possible:rolleyes:

Per

 

[Stefan]

Do the fish pattern on a 4x4x4 cube instead It becomes possible

I don't think so. Though it depends on what you mean with doing it on the 4x4x4. Are we talking about this?

XXXO
XXXO
XXXO
OOOX

If not, please show what you mean. If yes, please show how you do it. I'm convinced it's not possible (already because of the corners). And if you mean the following, it wouldn't "become" possible:

XXXO
XXXO
XXXO
NNNX

Oh and I gotta try Herbert's pattern editor. I must admit I didn't even know about it. And yeah, proving the impossibility that way is at least unsatisfying. I can prove it more nicely, might make a video with that. Btw, with Herbert posting, I think this thread now fully qualifies for theory

 

[mrCage]

Do the fish pattern on a 4x4x4 cube instead It becomes possible

I don't think so. Though it depends on what you mean with doing it on the 4x4x4. Are we talking about this?

XXXO
XXXO
XXXO
OOOX

If not, please show what you mean. If yes, please show how you do it. I'm convinced it's not possible (already because of the corners). And if you mean the following, it wouldn't "become" possible:

XXXO
XXXO
XXXO
NNNX

Oh and I gotta try Herbert's pattern editor. I must admit I didn't even know about it. And yeah, proving the impossibility that way is at least unsatisfying. I can prove it more nicely, might make a video with that. Btw, with Herbert posting, I think this thread now fully qualifies for theory

You can swap ANY 2 corners on the 4x4x4. Any pair of dedges also. So why would it still not be possible? Because of orientation issue ??

Per

 

[Stefan]

Yes, orientation can be part of a proof. But please, go ahead and show us your solution.

 

[FaNtAsYDeAlEr]

Here is one where the non "fish" parts are not all the same color
D2 F2 L2 R2 D2 U' R B2 U' F2 D2 U' L' R2 B2 D'

Here is one where the color is different only in the tail
U F2 U B U' B' F D B U B' D' U' F U'

And another
U R' B2 D' B2 D R2 D' B2 D B2 R' U'

 

[Zane_C]

Interesting, why would you want this pattern?
I'm bored and felt like bringing up an old thread.
I probably could've picked a better thread though.

 

[Zubon]

Here is one colorful fish pattern on all six sides.

L2 D B2 U R2 B2 D L' B2 F' D' U R' D2 R' B2 F' U' F'

Looking at this thread, I knew I saw that some where. And then I remembered. When you buy some type A cubes, there is a booklet. At the end, there are a whole lot of patterns and this was one of them.

You can see them (written in Chinese) on the PDF when you visit gyojia3.com
(Note: It's the last one on the list)


http://www.guojia3.com/国甲的说明（网络传播1.0）.pdf

 

[Owen]

R2 D2 B2

That is the "L and fish" pattern developed by my friend toothpick.