Physical 2x2x2x3 Puzzle Completed!

[Grant S]

Hello!

You may remember I recently posted to this group presenting a design for a physical 2x2x2x3 puzzle. I went for the design and it has recently been completed!

I designed the puzzle so that the pieces could be printed on my home 3d printer and would just be a press fit. Not all of the pieces are exactly the same size due to this (I should probably glue some of them at some point to eliminate those gaps you see in the pieces, I was also rushing the assembly a bit toward the end because of excitement for the finished puzzle). But, it is good enough as a proof of concept.

Here is the puzzle scrambled:

The first main challenge after making the puzzle was creating a gyro move...

For a temporary solution I made a gyro move that removes the middle layer of 3c pieces, then does a 2x2x2x2 gyro on the remaining pieces, then do a few moves on the 3c chunk. to permute and orient the pieces correctly.

I created this video that shows how moves on the puzzle correlate to a virtual 2x2x2x3 on magic puzzle ultimate.

The video isn't very professional at all, and I definitely mis-spoke a few times when referring to parts of the puzzle (sorry for any confusion those mess ups may cause), but I think it gives a nice overview of the puzzle.

Also, I did try to record my cursor to make it easier to point to specific parts of the virtual puzzle, but it didn't correspond correctly to the window the way I was recording it side by side. So you might need to use a little bit of imagination when I refer to parts of the virtual puzzle.

https://youtu.be/7on6xk9kq-g

If you would like to use a virtual 2x2x2x3, you can add it to magic puzzle ultimate with the following puzzle definition:

Puzzle 2x2x2x3
Dim 4
NAxis 2
Faces 1,0,0,0 0,0,0,1.5
Group 1,0,0,0/1,1,0,0 1,0,0,0/1,0,1,0 1,0,0,0/0,0,0,1
Axis 1,0,0,0
Twists 0,1,0,0/0,1,1,0 0,1,0,0/0,0,0,1
Cuts 0
Axis 0,0,0,1
Twists 1,0,0,0/1,1,0,0 1,0,0,0/1,0,1,0
Cuts 0.5 -0.5

I have solved the puzzle twice and it has proved to be a very interesting challenge! (I will make a video of a full solution at some point) I would expect nothing less from a hypercuboid!

We are currently thinking about ideas for extending the ideas of this puzzle to even more physical 4d puzzles so you will hopefully be hearing from us about that in not too long.

If you want to be involved in the development of puzzles like this, or just be more involved in hypercubing I highly recommend joining the hypercubing discord server:

https://discord.gg/y2J6F73apv

There is daily conversation on hypercubing and a lot of support for answering questions.

Let me know if you have any comments or questions!

Grant

[Eduard Baumann]

Wow!

Congratulations!

I was wrong.

Best regards

Ed

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[Marc Ringuette]

Dude!   Fantastic!   And you already did a great side-by-side
correspondence video with matching colors on MPUlt!  Quality stuff!

If anybody skipped Grant's video, here's a second chance to click on
it.   Well done.

Marc

On 2/5/2022 10:04 AM, Grant S wrote:
> Hello!
> You may remember I recently posted to this group presenting a design
> for a physical 2x2x2x3 puzzle. I went for the design and it has
> recently been completed!
>

> https://youtu.be/7on6xk9kq-g
>
>

[Ben Coppin]

This is extremely cool, and seriously mind-blowing! Congratulations!

Ben

--

[Eduard Baumann]

Hello,

 

The physical 2x2x2x3 has brought the classical 2x2x2x3 in our interest.

Compared to the 2x2x2x2 there are also 3-colored edges and the 4-colored corners cannot be handled as in the 2x2x2x2 because many 90° twists are forbidden.

I have solved the 2x2x2x3 in program MPULT. I append my log file.

 

For the edges macros for a 3-cycle und for a double mirroring on place can be found. With the last one a mono rotator can be built. This with corner side effects. So the edges must be handeled before the coners.

For the corners macros for a 3-cycle und for a double mirroring on place can be found. When the corners return home their sticker in the special 2x2x2 faces is always ok. This without edge side effects.

 

 

Best regards

Ed

----- Original Message -----

From: Grant S

To: hypercubing

Sent: Saturday, February 05, 2022 7:04 PM

Subject: [hypercubing] Physical 2x2x2x3 Puzzle Completed!

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[Eduard Baumann]

My solution has 2047 moves.

----- Original Message -----

From: Grant S

To: hypercubing

Sent: Saturday, February 05, 2022 7:04 PM

Subject: [hypercubing] Physical 2x2x2x3 Puzzle Completed!

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[Eduard Baumann]

There ist an optimize function in MPULT which has reduced my 2x2x2x3 solution log file from 2047 moves to 954 moves.

Best regards

Ed

----- Original Message -----

From: Grant S

To: hypercubing

Sent: Saturday, February 05, 2022 7:04 PM

Subject: [hypercubing] Physical 2x2x2x3 Puzzle Completed!

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[scarecrowfish]

As a contrast, I have just completed a virtual 2x2x2x3 solve of 111 moves, using a combination of 2x2x2 and physical 2^4 techniques. The method solves the edge pieces as a 2x2x2 with mirror moves, then blockbuilds one 2x2x2 of corners, finishing with an RKT 2x2x2 solve for the last cell.

Interestingly, the optimise function only brings it down to 101.

~Luna

[Eduard Baumann]

After having received the parameter file for MPULT for the 2x2x2x3  (and having solved it with about 900 moves what was ameliorated by Luna to 101 moves)

 

I'm interested in the following 11 cases of 4D Rubik Subvariants

 

2	2	2	4
2	2	3	3
2	2	3	4
2	2	4	4
2	3	3	3
2	3	3	4
2	3	4	4
2	4	4	4
3	3	3	4
3	3	4	4
3	4	4	4

 

Who can and wants send me the corresponding MPU parameter files ?

 

Kind regards

Ed

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[Eduard Baumann]

The 2x2x3x3 is already present in MPULT, sorry. I'm iterested in the 10 remaining cases.

 

Best

[Eduard Baumann]

Hi folks,

 

You can make the following ordering of the 4D Rubik Subvarianta

 

				type, counting identical subdivisions
2	2	2	2	4	homogenous
3	3	3	3	4	homogenous
4	4	4	4	4	homogenous
2	2	3	3	22
2	2	4	4	22
3	3	4	4	22
2	2	2	3	31
2	2	2	4	31
2	3	3	3	31
2	4	4	4	31
3	3	3	4	31
3	4	4	4	31
2	2	3	4	211
2	3	3	4	211
2	3	4	4	211
2	3	4	5	1111	most heterogen

 

The last one is already in MPULT.

The 8 cells are organised in 4 pairs of cells which are opposite and have a common missing subdivision

2 missing  3x4x5

3 missing  2x4x5

4 missing  2x3x5

5 missing  2x3x4

 

Kind regards

Ed

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[Vasvári Adrián]

Hello!

Lately I had some free time so I started to solve the small 4D cuboids. I started with the 2x2x2x3 and managed to solve it with 439 moves. I have attached my .log file.

It is a very interesting puzzle because of the restricted 90° twists. The most challanging tasks were to find algorithms for the following three cases:

1) SWAP 2 EDGES

2) TWIRL 1 EDGE

3) TWIRL 2 CORNERS

Next puzzle will be the 2x2x3x3 and I hope I can solve it in the next couple of weeks.  :)

Best wishes to all hypercubists!

~Adrián

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