An 8 Circuit Labyrinth on Rubik’s Cube

After the 3 and the 5 circuit labyrinths on Rubik’s Cube, only the 7 circuit is missing. Unfortunately, the usual 3x3x3 cube is too small for that. And the next category (Rubik’s Revenge) with 4x4x4 is a little too big. In order to fill all areas, you need an 8 circuit labyrinth. The well-known 7 circuit (classical) labyrinth is best suited to this, supplemented by a kind of “lap of honor”, an additional loop. It can be added at the beginning or at the end.
Here I present the labyrinth with the additional loop at the end.

First the unfolded cube with the names of the different sides:

The unfolded, empty Rubik's Cube

The unfolded, empty Rubik’s Cube

And here Ariadne’s thread:

Aridne's thread on the unfolded Rubik's Cube

Aridne’s thread on the unfolded Rubik’s Cube

The path sequence is: 3-2-1-4-7-6-5-8-9. This is the sequence for the classical 7 circuit labyrinth with an additional loop, hence “9” is the center (and not “8”). The entrance to the labyrinth takes place on the 3rd circuit. It is on the front side of the cube. And the center is next to this space on the same side. This shows that all other lines are only detours. Just like in the “right” labyrinth. The beginning and the end of the line (Ariadne’s thread) are right next to each other.
It should also be noted that the path on the cube is very distorted compared to the familiar look of the labyrinth, and not as balanced as we are used to. But the essential is there, the intricate and complex, not crossing lines. It is also nice that all small cubes are occupied, there are no empty spaces.

Again, a template that can be used to build a model. Here you can see, print or download it as a PDF file.

I tried it myself and made a more or less successful cube:

Aridne's thread on Rubik's Cube

Aridne’s thread on Rubik’s Cube

In the large picture above, you can see the top, left and front sides from above. The three smaller pictures are each rotated by 90 degrees.

Here in a tilted representation:

Aridne's thread on Rubik's Cube

Aridne’s thread on Rubik’s Cube

In the large picture above, you can see the front, left and lower side from above. The three smaller pictures are rotated by 90 degrees again.

I cannot judge how difficult the twisted cube would be to solve. And whether it is enough to simply say: connect the beginning and the end with each other without crossing the line?

Related Posts

Further Links

The 5 Circuit Labyrinth on Rubik’s Cube

I started with the 3 circuit labyrinth on Rubik’s Cube (see Related Posts below). However, quite a few areas have remained empty. Therefore I have now dealt with a 5 circuit labyrinth.

First of all again the scheme for Rubik’s Cube with the notation of the different sides of the unfolded cube.

The unfolded, empty Rubik's Cube

The unfolded, empty Rubik’s Cube

From the 8 possible combinations for a 5 circuit labyrinth, I chose the variant with the path sequence: 0-3-4-5-2-1-6.
Ariadne's thread on the unfolded Rubik's Cube

Ariadne’s thread on the unfolded Rubik’s Cube

The path begins on the “front” side on the bottom left corner stone, then leads upwards (circuit 3), jumps around the corner to “left” and runs over “back” to “right” around the cube. From here it goes up (circuit 4) and back again left around to the “front” side. Then follow the circuits 5, 2, 1 and finally the jump to the center (6).
The number of the circuits begins on the bottom (the “down” side) of the cube, not on the “front” side. The goal, the center of the labyrinth is in “6” on the “up” side. And only one stone remains empty on the underside (the “down” side).

There is also a template that can be used to build a model. Here you can see, print or download it as a PDF file.

I tried that myself and made a more or less successful model out of paper:

Ariadne's thread on Rubik's Cube

Ariadne’s thread on Rubik’s Cube

In the large picture above, you can see the top (“up”), left and front sides from above. The three smaller pictures are each rotated by 90 degrees.

Here in a tilted representation:

Ariadne's thread on Rubik's Cube

Ariadne’s thread on Rubik’s Cube

In the large picture above, you can see the front, left and lower (“down”) side from above. The three smaller pictures are rotated by 90 degrees again.

I cannot judge how difficult that would be to solve. Especially if you do not say beforehand what that should be and you should find the beginning and end of the thread yourself.

Related Posts

Further Link

The 3 Circuit Labyrinth Cube

I have already written about the labyrinth on Rubik’s Cube. I had presented a template for making a model. I’ve used that myself and made a labyrinth cube out of it. This is how it looks like: Ariadne’s  thread runs on the surface of the vsible miniature cubes. The 9 faces of the miniature cubes on “down” and the 7 on “up” were not used.

Ariadne's thread on Rubik's Cube

Ariadne’s thread on Rubik’s Cube

That gave me the idea of whether it would not be possible to include all the miniature cubes?
And I offer a solution for this:
The Rubik’s Cube has all in all 26 pieces. The core mechanism is fixed and holds the 6 center pieces with one coloured face. The 12 edge pieces show two coloured faces, and the 8 corner pieces have three coloured faces.
Ariadne’s thread should now run through all the little cubes. So 6 times one face is visible, 12 times two faces and 8 times three faces.
It looks like this on the template:

The unfolded cube

The unfolded cube

Ariadne’s thread is shown in color here. The labyrinth should be the type Knossos labyrinth with the path sequence 3-2-1-4. Green stands for 3, blue for 2, brown for 1. The center is white (4), and can only be reached if you pass through the invisible center (= core mechanism) from the “up” surface.
The beginning of Ariadne’s thread is the green edge cube with three coloured faces in the lower left “front”. Then you run up to the next edge cube with three coloured faces, you run around the “up” surface, following the “back” surface, then the “right” surface to the green/blue coloured face edge cube, which initiates the line of the blue cubes. The next change is in the “left” surface from blue to brown.

There is also a template that can be used to build a model. Here you can see, print or download the template as a PDF file.

I tried it myself and made a more or less successful cube.

The labyrinth cube

The labyrinth cube

In the large picture on the left you can see the “up” surface, the “left”, and the”front” surface from above. In the three smaller pictures the cube is each rotated by 90 degrees.

Here in a tilted representation:

The tilted cube

The tilted cube

In the large picture on the left, you can see the “front”, “left” and “down” surface from above. In the three smaller pictures the cube is rotated by 90 degrees again.

I cannot judge how difficult that would be to solve. Especially if you do not say beforehand what that should be and you should find the beginning and the end of the thread yourself.
Perhaps one could make the specification: connect the green cube with the white cube and go over all miniature cubes.

Related Post

Further Links

The 3 Circuit Labyrinth on Rubik’s Cube

In the context of the theme Labyrinth and Flower of Life, the similarity to a cube has been mentioned more often. The hexagonal shape of the labyrinth was just too reminiscent of a cube. And that got me looking for the labyrinth on the cube.

I have a magic cube and as a small brain training I solve it once a day. This is now memorized and routinely.

In Further Link below you can find out what a magic cube is.

First, I tried to put Ariadne’s thread on the small squares. This is relatively easy.

For better representation, the 6 sides of a cube are “flattened”:

The layout

The layout

You can draw in there Ariadne’s thread for a 3 circuit labyrinth type Knossos. Generally known, this has the path sequence: 3-2-1-4.
The beginning is on the frontside below at left. Then we go to the third line, to the second and the first line and finally to the center in 4 up in the middle square.

Ariadne's thread

Ariadne’s thread

And here in an isometric view:

Three views

Three views

I hope you can imagine that on the drawings?
We see the lines on 5 sides of the cube, the bottom remains empty. The middle is slightly larger, but we do not touch all the small squares.

Ariadne’s thread for the template with slightly thicker lines:

Ariadne's thread

Ariadne’s thread

If you want, you can download, print or copy the template as a PDF file.

Such a cube would certainly be quite easy to solve as a magic cube. Especially if you have a template of it in mind.

Related Posts

Further Links