3x3x3x4 hypercuboid solved

[Vasvári Adrián]

Hello Hypercubists,

I'm proud to announce that I successfully solved the 3x3x3x4 hypercuboid in MPUlt with 3.025 twists. You can find my .log file in the attachment.

Because it has only two different cell sizes (two 3x3x3 and six 3x3x4 cells), this cuboid allows creating a lot of interesting algs and cases.

When one of the 3x3x3 cells is in the Top position (in the center of the screen) 90° twists on all sides are possible.

When one of the 3x3x4 cells is in the Top position, side twists are limited to 180° only.

Interestingly I used the more flexible 3x3x3 view for the first two (1a and 1b) algs only... but the rest of the algs were created in the second

(3x3x4 in the center) view. Here comes the algs I created in order to solve this puzzle.

1a) CENTER SWAP - opposite

1b) CENTER SWAP - adjacent

2a) FACE SWAP - opp.

2b) FACE SWAP - adj.

2c) FACE FLIP & SWAP

2d) FACE FLIP

2e) FACE SWAP ( = FACE FLIP & SWAP + FACE FLIP )

2f) DOUBLE-FACE SWAP

3a) EDGE FLIP & SWAP

3b) EDGE FLIP

3c) EDGE SWAP  ( = EDGE FLIP & SWAP + EDGE FLIP )

3d) EDGE 3-CYCLE

3e) EDGE TWIRL

3f) DOUBLE-EDGE 3-CYCLE

3g) DOUBLE-EDGE FLIP

4a) CORNER 3-CYCLE

4b) CORNER TWIRL

This was a pretty exciting cube to solve with a lot of very interesting cases.

Next puzzle for me will be the 3x3x4x4. :)

Who else is using MPUlt to solve cuboids?

Happy hypercubing!

Best regards,

~Adrian

[Eduard Baumann]

Congratulations Adrian.

 

In the moment I am solving the second "systolic" in magicTile. Very pleasing.

 

De : hyper...@googlegroups.com [mailto:hyper...@googlegroups.com] De la part de Vasvári Adrián
Envoyé : mercredi, 25 juin 2025 23:16
À : hypercubing
Objet : [hypercubing] 3x3x3x4 hypercuboid solved

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