Modified Rubik's Cube




About: Hi, my name is Britt Michelsen, I'm a Chemical Engineer especially interested in Computational Fluid Dynamics. To balance all the theoretical work I like to make stuff in my free time.

In this tutorial I'm going to show you how to make a Rubik's Cube, which changes the shape when you scramble it.

The cuboid is easy to make, because you don't have to extend any pieces.

Check out step 5 to see, how to solve it. Basically it solves like the 3x3x3, so if you know how to solve that one, you should have no problems. A big advantage compared e.g. to the Fisher Cube is, that there is no parity.
Also you can easily shove it into your pocket because it is a lot thinner than the original cube.

Step 1: What You Need

This is what you need:

  • A black Rubik's Cube (Best is a DIY Cube, because you can easily assemble and disassemble it. Also it comes with a set of stickers, which you can later use). You can of course use an assembled cube, but you will have to get rid of the stickers, before you start.
  • self-hardening synthetic clay (I used “Apoxie® Sculpt”)
  • Tiles or stickers (e.g. from Just get the regular 3x3x3 sized ones. Tiles are better, because they can compensate small irregularities.
  • a Dremel (Felt Polishing Wheel, SpeedClic Plastic Cutting Wheel)  if you don't have a Dremel, just use a regular saw
  • sandpaper (400, 800, 1000)
  • a black permanent marker
  • a box cutter


Step 2: Cut the Pieces

First mark the lines as shown in the first picture

Now cut down along the lines. I used the SpeedClic Plastic Cutting Wheel from Dremel, even though it is not long enough to cut through all the pieces. The heat melts the pieces together (you can easily undo it with a box cutter) like this they cannot get out of place (remember to let the Dremel cool off in between).

If you are using a saw, it is probably a good idea to hold the pieces in place with some tape, or to disassemble the cube and mark the lines on every piece. You can also use a rasp or a belt sander. So just choose whatever works best for you.

If you don't know how to disassemble a cube watch Dan Brown's video on how to cheat:

Step 3: Grinding

Before filling the cube you will have to disassemble it. Then fill the pieces with the self-hardening clay as shown in the first picture.

If you are using a DIY Cube you should leave holes to adjust the screws, as you can see in the second picture.

Apoxie Sculpt is completely dried after 24 hours, you should wait to get a perfect result.
Now grind every single piece so that you are able to reassemble the cuboid.
Assemble it and grind every side (start with the sandpaper with the lowest number). Remember to sometimes turn one layer of the cube, to do it equally.

I work pretty messy, so nearly always I have to apply a second layer of modeling clay, to smooth out the holes. Afterwards I grind the cube again to get a perfect result.

Step 4: Paint the Pieces and Cut the Stickers

Paint the pieces with a black permanent marker. You don't have to paint them entirely, because the stickers will cover the faces. Use the Felt Polishing Wheel to get rid of the extra colour, else it will later stain your fingers

If you're done, reassemble the cuboid and cut the stickers, so that they will fit on the pieces of the top and bottom layer. For the sides I used regular ones because I was to lazy to cut every single one and as you can see in the pictures it still looks good.

Congratulations, you are done!

Step 5: Solve the Cuboid

Dan Brown made two very good videos on how to solve the cube, check them out to find out how to generally solve a Rubik's Cube. In order to solve the cuboid you just made (you should know how to solve the 3x3x3) take a look at the pictures... Or try to figure it out yourself, it is not that hard...

1) Fi U Li Ui
2) Ri Di R D
3) U R Ui Ri Ui Fi U F
4) Ui Li U L U F Ui Fi
5) F R U Ri Ui Fi
6) R U Ri U R U U Ri
7) U R Ui Li U Ri Ui L
8) Ri Di R D

And the second part:

There is also a good instructable on this subject, check it out:!/

Step 6: What Now?

There are many ways to modify not only the shape of the cube but also the mechanism.

So get creative and build your own cube.

These sites might help you:
Good article on what tools and materials to use:

Many cubes and explanations how to make them: (in order to see the explanations, you need to log in)



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    126 Discussions


    4 years ago on Step 5

    That isn't a cuboid, it's a shape mod of a 3x3. It may look like a cuboid with only a 2x3 grid of stickers, but you have to include the corner to the left of the blue, orange, green, or orange face. if it moves like a 3x3 but doesn't shape-shift (like a REAL cuboid, e.g. 2x2x4), or has a sum of the grid X + grid Y + grid Z not evenly divisible by at least one of the grids (if the sum of three grids/grid x, the sum of three grids/grid y, and the sum of three grids/grid z equal each other, you have a cubic puzzle, and you can now use that for calculating the volume using two numbers and you can calculate the third. You're welcome.

    1 reply

    5 years ago

    If you know how to solve a normal 3x3, is it fairly easy/same solving method to solve this one?

    1 reply

    5 years ago on Step 5

    Wow, I will have to try this.


    9 years ago on Step 6

     Is that same cube in other games or is it the same one in the same game I play!

    I know that cube is in the game Adrenaline!!!

    8 replies

    Reply 9 years ago on Step 6

    Do you mean the companion cube? It is part of the game portal.


    Reply 8 years ago on Step 6

    What is a companion cube? I've heard of it a lot but I don't know what it is. :(


    Reply 8 years ago on Step 6

    A companion cube is a cube you find on a level of portal. You have to throw it out straight after the level.So many people like the cube that it became a meme.


    Reply 8 years ago on Step 6

    OK, I HAVE NO IDEA WHAT YOU ARE TALKING ABOUT. ALL I SEE IS "a companion cube is a cube you find on BLAH BLAH BLAH. You have to BLAH BLAH BLAH. So many people like the cube that it BLAH BLAH. Can you please tell me what game this is and what is a portal and what is a meme and how do you throw it and what kind of level are you talking about!?!? Thanks :)


    Reply 8 years ago on Step 6

    The Companion Cube is a "character" you meet in the game Portal. Long story short you're a test subject, testing the Aperture Science Portal Gun, that makes portals, by solving some simple puzzles. To help solve your puzzles you're given a companion cube for one level, you're supposed to get attached to said companion cube because (SPOILER: kinda) you're later supposed to destroy it. It's a meme (Just google it) and is ridiculously popular. It's also supposed to be your one and only friend


    Reply 8 years ago on Step 6

    Ohhhhhhh Yeeeeaaaa. I have heard of people talking about portal. Thanks


    Reply 9 years ago on Step 6

     Ah, yes. I remember that cube in portal... but that same cube is Adrenaline too.