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 Post subject: Turtle Cubes
PostPosted: Sat May 09, 2009 4:16 pm 
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I recently created textures with M.C. Escher like illustrations of entangled sea turtles, based on artwork by Jos Leys.
The cube surface shows four groups of differently colored turtles. Because each group has six members, there are a total of 24 turtles on the cube.

The similarity of the faces makes this twisty puzzle pretty hard to solve.
It is also amazing that only a minimum of four colors is necessary to give each face a unique color combination you can't find on the other ones.

The same texture can be applied on 3x3x3 and 2x2x2 cubes.
In the Pocket Cube version you can at least group three faces with turtles of the same color ... can you figure out if this is possible on the other faces as well?

Play the Turtle Cubes here:
3x3x3 Turtle Cube
2x2x2 Turtle Cube

Enjoy!


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 Post subject: Re: Turtle Cubes
PostPosted: Sat May 09, 2009 5:18 pm 
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I just cried a little bit this is amazing


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 Post subject: Re: Turtle Cubes
PostPosted: Sat May 09, 2009 5:25 pm 
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I can't see anything...


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 Post subject: Re: Turtle Cubes
PostPosted: Sat May 09, 2009 5:56 pm 
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Vadim wrote:
I can't see anything...


Hi Vadim,
Make sure Java is installed on your computer (you can get the latest version here).
Then the cubes should look like this:


Attachments:
File comment: 2x2x2 Turtle Cube
2x2x2_TurtleCube.png
2x2x2_TurtleCube.png [ 132.89 KiB | Viewed 8603 times ]
File comment: 3x3x3 Turtle Cube
3x3x3_TurtleCube.png
3x3x3_TurtleCube.png [ 144.63 KiB | Viewed 8574 times ]
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 Post subject: Re: Turtle Cubes
PostPosted: Sat May 09, 2009 6:39 pm 
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The way the turtles interlock like that is a very clever use of the shape, and I am impressed at how you got the turtle shape to remain the same even after turning. It is trickier to solve than one would expect, but it is nevertheless fun to play with. I would most likely buy one if it were produced. For now, I will play with the fun internet version.

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 Post subject: Re: Turtle Cubes
PostPosted: Sat May 09, 2009 8:09 pm 
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I think this might be my favorite sticker mod. Makes wish I could figure out how to get Java applets working.

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 Post subject: Re: Turtle Cubes
PostPosted: Sun May 10, 2009 12:39 am 
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I like everything about this sticker mod, the colours, the flippers going to the next sticker, the six ways you can order four items in a ring giving unique centres on the 3x3x3.
Great stuff.

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 Post subject: Re: Turtle Cubes
PostPosted: Sun May 10, 2009 4:11 am 
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MC Escher has always been my favourite artist, his works are astounding! The mix of the two is a brilliant idea Waran! :wink:


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 Post subject: Re: Turtle Cubes
PostPosted: Sun May 10, 2009 4:54 am 
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Thanks for the encouraging words! :D

I created the contours with Macromedia FreeHand, an illustration tool similar to Adobe Illustrator, and then imported them into Photoshop where the final composition and coloration was done.

The contours are actually the trickiest part to do. Imagine, that when you alter for example the shape of the flippers, this simultaneously alters other parts of the turtle. The turtles are absolutely symmetrical, I actually only drew one half of the animal and then mirrored and repeated the contours.
In the case of the Turtle Cube I also had to care about the fact that the textures are cut differently on a Rubik's Cube and on a Pocket Cube.


DragonCuber wrote:
MC Escher has always been my favourite artist, his works are astounding! The mix of the two is a brilliant idea Waran! :wink:


M.C. Escher is one of my favourite artists as well.
The textures of the cubes below are based on original Escher artwork:

3x3x3 Escher Cube (Lizards)
This cube features the same amount of animals and is very similar to the Turtle Cube design. Unlike the turtles, the lizards are not symmetrical, but the textures also remain invariant (colors not taken into account) when you are scrambling the cube.

3x3x3 Escher Cube (Fish)
This surface shows a total of 12 fish where each fish is wrapping over three cube faces. Note, that the symmetry in this version is different. This allows you to scramble the contours.


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 Post subject: Re: Turtle Cubes
PostPosted: Sun May 10, 2009 5:47 am 
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Jeffery Mewtamer wrote:
I think this might be my favorite sticker mod. Makes wish I could figure out how to get Java applets working.


I hope you could activate Java in the meantime.
Here are screenshots of the two mentioned Escher Cubes:


Attachments:
File comment: 3x3x3 Escher Cube (Fish)
3x3x3_EscherCubeFish.png
3x3x3_EscherCubeFish.png [ 125.44 KiB | Viewed 8572 times ]
File comment: 3x3x3 Escher Cube (Lizards)
3x3x3_EscherCubeLizards.png
3x3x3_EscherCubeLizards.png [ 110.19 KiB | Viewed 8741 times ]
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 Post subject: Re: Turtle Cubes
PostPosted: Sun May 10, 2009 7:13 am 
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It is true that sticker mod concepts for the nxnxn cubes have been beaten to death,
but I must admit that watching some Escher artwork on cubes, not only makes them
more appealing in a visual way, but also in a mathematical way.

:)


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 Post subject: Re: Turtle Cubes
PostPosted: Sun May 10, 2009 10:37 am 
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I'm going to take in my cheap-o white magic cube thing to my old school and see if my teacher will let me try to sublimation print on it. If it works without too much color bleed, I'll see about making two of these, one for me, and one to send to you!

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 Post subject: Re: Turtle Cubes
PostPosted: Sun May 10, 2009 11:35 am 
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Waran, these are just beautiful. Artistically and mathematically beautiful.

You should talk to dr-sticker or cubesmith about mass producing these. I would definitely buy high quality printing of these at any price. Cubesmith's calendar stickers are a great example of very high quality vinyl printing. If he can print two colors, I bet he can print five colors.

Kudos Waran!

Skarabajo

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 Post subject: Re: Turtle Cubes
PostPosted: Sun May 10, 2009 3:36 pm 
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I already have bitmapped images like that:
Turtle Cube texture
Escher Cube (Lizards) texture
Escher Cube (Fish) texture

These textures are optimized for the applets and come along in RGB colors and a size of 2048 x 2048 px. This should be large enough to get nice color prints ... but I could also create textures with a much higher resolution if necessary.

An other option is to compose and colorize the contours in a vector graphic tool like Illustrator. In this case I could deliver the textures in CMYK colors and in form of high quality Adobe Illustrator or PDF documents.

Does anybody know if dr-sticker or Cubesmith are able to print high quality vinyl sticker sets with that kind of graphics and what it would cost? I guess they will only produce such special stickers if enough people are interested in buying it.


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 Post subject: Re: Turtle Cubes
PostPosted: Sun May 10, 2009 5:56 pm 
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I'm not getting anything. does it work with macs?

On another note, these are great! If Escher had had a cube in his lifetime, he would've smothered it with one of these, I'm sure...

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PB: At home (In Competition)
2x2 1.xx (2.88)
3x3 11.xx (15.81)
4x4 1:18.26 (1:24.63)
5x5 (3:00.02)
6x6 4:26.05 (6:34.68)
7x7 6:38.74 (9:48.81)
OH (35.63)

Current Goals:
7x7 sub 6:30
4x4 sub 1:10


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 Post subject: Re: Turtle Cubes
PostPosted: Sun May 10, 2009 6:01 pm 
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I was running it in Safari early, with no problems.

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 Post subject: Re: Turtle Cubes
PostPosted: Sun May 10, 2009 6:09 pm 
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I absolutely love these sticker mods, especially the last two. I would buy these sticker sets immediately.

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 Post subject: Re: Turtle Cubes
PostPosted: Sun May 10, 2009 6:35 pm 
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If the sublimation printing works well, I'm getting a white DIY to try it on. :D

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 Post subject: Re: Turtle Cubes
PostPosted: Tue May 12, 2009 6:31 am 
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Salvador Dali cube would be nice - or Albrecht Dürer cubes. Anyhow i wonder if a 3x3x3 turtle supercube would have more than 1 solution :roll:

Actually i'd like to add Miro cubes to the list as well.

-Per

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 Post subject: Re: Turtle Cubes
PostPosted: Tue May 12, 2009 6:52 am 
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Very nice. I think a Mondrian cube would also look nice, although ... hang on ... wouldn't that just be a normal scrambled bandage cube ?!


Attachments:
Mondrian.jpg
Mondrian.jpg [ 3.37 KiB | Viewed 10541 times ]

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 Post subject: Re: Turtle Cubes
PostPosted: Tue May 12, 2009 1:31 pm 
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Nice job!

Similar Escher cubes are in the database:
-Escher Cube
http://twistypuzzles.com/cgi-bin/puzzle.cgi?pkey=107

- Escher Skewb
http://twistypuzzles.com/cgi-bin/puzzle.cgi?pkey=609

- Escher Cuboctahedron
http://twistypuzzles.com/cgi-bin/puzzle.cgi?pkey=645

- Escher Octahedron
http://twistypuzzles.com/cgi-bin/puzzle.cgi?pkey=395

- Stereogram Cube
http://twistypuzzles.com/cgi-bin/puzzle.cgi?pkey=235


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 Post subject: Re: Turtle Cubes
PostPosted: Tue May 12, 2009 1:35 pm 
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That last one would kill me. I'd have to have someone who can see those tell me if I solved it or not.

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 Post subject: Re: Turtle Cubes
PostPosted: Wed May 13, 2009 6:20 am 
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A similar version were given to all French Open 2009 competitors.


Attachments:
escher_fish_FO09.jpg
escher_fish_FO09.jpg [ 181.88 KiB | Viewed 8545 times ]
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 Post subject: Re: Turtle Cubes
PostPosted: Wed May 13, 2009 7:48 pm 
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woah! this is very cool, I have never seen anything like these cubes before!

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 Post subject: Re: Turtle Cubes
PostPosted: Thu May 14, 2009 3:29 pm 
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They had stereogram cubes!? Hell, I'd be working on that for weeks, and I can see them :P

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PB: At home (In Competition)
2x2 1.xx (2.88)
3x3 11.xx (15.81)
4x4 1:18.26 (1:24.63)
5x5 (3:00.02)
6x6 4:26.05 (6:34.68)
7x7 6:38.74 (9:48.81)
OH (35.63)

Current Goals:
7x7 sub 6:30
4x4 sub 1:10


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 Post subject: Re: Turtle Cubes
PostPosted: Thu May 14, 2009 6:26 pm 
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This page features the 137 repeating geometric patterns (tessellations) from M.C. Escher.
If you browse the list you may find other artwork than could be applied on shapes like the Rubik's Cube:

Symmetry No. 23: Birds
Symmetry No. 42: Shells and Starfish
Symmetry No. 119: Fish

Symmetry No. 119 probably looks best on a Pocket Cube. See the sketch below:


Attachments:
File comment: 2x2x2 Sketch with Escher Symmetry No. 119
2x2x2_FishCube_Preview.png
2x2x2_FishCube_Preview.png [ 260.99 KiB | Viewed 8534 times ]
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 Post subject: Re: Turtle Cubes
PostPosted: Thu May 14, 2009 8:50 pm 
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N 137 - Geister
for Pyraminx or Mastermorphix :roll:

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 Post subject: Re: Turtle Cubes
PostPosted: Thu May 14, 2009 9:51 pm 
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I was just playing around with the settings, and found the Bandage & Explode features. This is the best cube emulator I have used. Is there any for the regular 3x3 or other puzzles?

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 Post subject: Re: Turtle Cubes
PostPosted: Thu May 14, 2009 10:08 pm 
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I'd just like to point out that Phillip Knudsen made a batch of Escher inspired 3x3x3 cubes roughly a decade ago. I have to say, the similarity in designs is quite striking.

Image

Hmmm... I should have checked the posts more closely before posting. Or better yet, maybe I should take some better pictures and update the puzzle database with Phillip's puzzle.

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 Post subject: Re: Turtle Cubes
PostPosted: Sat May 16, 2009 1:09 pm 
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First, a big thanks to Waran for this beautiful adaptation and giving the images to the community. The applet is very cool but I like physical objects so...

With MS Paint, I cropped the image to remove the excess white on two of the edges and removed 3mm gaps. I sized the image in MS Word and printed on my friends Canon printer with Kodak Ultra glossy photo paper. I tried cutting the photo paper with an Exact-o knife but it did not leave a clean cut (the blade I have was probably too large). I bought a good pair of scissors and used them instead (I noticed the scissors rounded the edges down a little which is good). I started using rubber cement and it was a disaster so I went with my favorite, super glue. The photo paper was very thick it felt like I was gluing thin tiles. I finished by applying two liberal coats of Glosscote, which was the whole can. I have only handled it enough to take these photos. I am going to let the Glosscote set for another 24 hours.

I have tried this method before with sticker mods about eight years ago and they are still going strong. The only thing I did different is before I used self adhesive label paper. The image quality of the photo paper is much greater.

I have an idea for a sticker mod that I have been throwing around look for that soon now that I am happy with the way this turned out.

EDIT: The Glosscoat did not work out well. I switched to a polyurethane based clear-coat. I have had some turning time with it and it is more difficult to solve than I expected.

Attachment:
turtle01.JPG
turtle01.JPG [ 86.5 KiB | Viewed 8537 times ]

The Testors Glosscote, the printed image and a stock Rubik's cube.


Attachment:
turtle02a.JPG
turtle02a.JPG [ 78.67 KiB | Viewed 8532 times ]

Attachment:
turtle03.JPG
turtle03.JPG [ 154.35 KiB | Viewed 8532 times ]


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