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Fix formatting and make cuboid names consistent
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docs/history.md

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@@ -36,7 +36,7 @@ In late 2021, some speculation began as to if you could expand the physical 2^4^
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- **2022 Jul 06:** Grant finishes the [2x3x3x3](/puzzles/physical/2x3x3x3)
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- **2022 Jul 22:** Grant finishes the [3x3x3x3](/puzzles/physical/3x3x3x3)
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- **2022 Aug:** Markceluna designs a physical simplex
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- **2024 Jan:** Tymon finishes making [2x2x2x1](/puzzles/physical/2x2x2x1) through 3x3x3x1 hypercuboids
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- **2024 Jan:** Tymon finishes making [1x2x2x2](/puzzles/physical/1x2x2x2) through 1x3x3x3 hypercuboids
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- **2024 Jan:** Dietl builds a physical simplex based on a completely different design than Markceluna's
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## 2022-Present: The Hyperspeedsolving Revolution

docs/progression.md

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@@ -31,7 +31,6 @@ There are many types of 4D puzzles, not just the hypercubes. These include hyper
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```mermaid
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flowchart LR
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Hypercuboids --> Duoprisms --> Polytopes
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subgraph Polytopes
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direction LR
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subgraph Hypercuboids
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direction LR
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D[3x3x3x1]
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E[3x3x3x2]
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D[1x3x3x3]
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E[2x3x3x3]
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F[2x2x2x3]
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G[2x2x3x3]
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end
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```
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## Non-Euclidean Puzzles

docs/puzzles/2x2x2x2.md

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!!! info inline end "2x2x2x2"
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![2x2x2x2 in HSC](/assets/images/HSC2222.png)
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**Shape:** Tesseract
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**Pieces:** 16 4c

docs/puzzles/3x3x3x3.md

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!!! info inline end "3x3x3x3"
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![3x3x3x3 in HSC](/assets/images/3_4_transparent.png)
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**Shape:** Tesseract
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**Pieces:** 8 1c, 24 2c, 32 3c, 16 4c

docs/puzzles/physical/1x2x2x2.md

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# Tymon's 2x2x2x1
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# Tymon's 1x2x2x2
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!!! info inline end "Tymon's 2x2x2x1"
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![Tymon's 2x2x2x1](https://cloud.hypercubing.xyz/assets/img/phys/tymofro/2x2x2x1.jpeg)
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!!! info inline end "Tymon's 1x2x2x2"
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![Tymon's 1x2x2x2](https://cloud.hypercubing.xyz/assets/img/phys/tymofro/1x2x2x2.jpeg)
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**4D Shape:** Hypercuboid
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## History
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[Tymon F](https://hypercubing.xyz/leaderboards/solvers/tymofro/) began some initial tests for this puzzle in October 2023. The first 2 pieces were fully assembled and magnetized by December 2023. Finally (conincidentally exactly 1 year after he discovered hypercubing), Tymon completed the 2x2x2x1 hypercuboid on 2024-01-11. After that, he started work on creating the cuboids up to 3x3x3x1.
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[Tymon F](https://hypercubing.xyz/leaderboards/solvers/tymofro/) began some initial tests for this puzzle in October 2023. The first 2 pieces were fully assembled and magnetized by December 2023. Finally (conincidentally exactly 1 year after he discovered hypercubing), Tymon completed the 1x2x2x2 hypercuboid on 2024-01-11. After that, he started work on creating the cuboids up to 1x3x3x3.
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## Moves
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Legal moves of a layer include basic 2x2x2 90° twists, 180° twists in any plane which also rotate pieces in 4d axis, or a combination of both.
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![Tymon's 2x2x2x1 with one half exposed](https://cloud.hypercubing.xyz/assets/img/phys/tymofro/2x2x2x1_split.jpeg){width="50%"}
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![Tymon's 1x2x2x2 with one half exposed](https://cloud.hypercubing.xyz/assets/img/phys/tymofro/1x2x2x2_split.jpeg){width="50%"}
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## Solving
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Beside basic stickers (white, yellow, orange, red, green, blue) every piece on the puzzle has pink and purple stickers which indicate in which 4d orientation the piece is. In the solved state every piece must have the same 4d axis orientation.
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The 2x2x2x1 is not much more difficult than the 2x2x2. It can be solved by: orienting 5c pieces in 4d axis, except "OLL parity" (because of the extra axis, a single 5c can be missoriented) the rest of the puzzle can be solved like a 3d 2x2x2. Tymon made a [YouTube video](https://youtu.be/lkGgYKrKpi4) showing an example solve of the puzzle.
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The 1x2x2x2 is not much more difficult than the 2x2x2. It can be solved by: orienting 5c pieces in 4d axis, except "OLL parity" (because of the extra axis, a single 5c can be missoriented) the rest of the puzzle can be solved like a 3d 2x2x2. Tymon made a [YouTube video](https://youtu.be/lkGgYKrKpi4) showing an example solve of the puzzle.

docs/puzzles/physical/1x2x2x3.md

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# Tymon's 3x2x2x1
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# Tymon's 1x2x2x3
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!!! info inline end "Tymon's 3x2x2x1"
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![Tymon's 3x2x2x1](/assets/images/3221phys.jpeg)
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!!! info inline end "Tymon's 1x2x2x3"
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![Tymon's 1x2x2x3](https://cloud.hypercubing.xyz/assets/img/phys/tymofro/1x2x2x3.jpeg)
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**4D Shape:** Hypercuboid
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## History
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A few days after completing the physical 2x2x2x1 [Tymon F](https://hypercubing.xyz/leaderboards/solvers/tymofro/) finished assembling four new 4c pieces that combined with the previous 5c pieces to create a physical analog of the 3x2x2x1 puzzle. This one was another important milestone on the way to create a physical 3x3x3x1 puzzle.
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A few days after completing the physical 1x2x2x2 [Tymon F](https://hypercubing.xyz/leaderboards/solvers/tymofro/) finished assembling four new 4c pieces that combined with the previous 5c pieces to create a physical analog of the 1x2x2x3 puzzle. This one was another important milestone on the way to create a physical 1x3x3x3 puzzle.
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## Moves
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Legal moves of a layer include basic 2x2x2 90° and 180° twists that rotate pieces without changing their 4d orientation, 4d 180° twists that besides moving pieces in 3d, rotate them in 4d axis, or a combination of both.
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![Tymon's 3x2x2x1 with one half exposed](/assets/images/3221phys_1.jpeg){width="50%"}
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![Tymon's 1x2x2x3 with one half exposed](/assets/images/3221phys_1.jpeg){width="50%"}
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## Solving
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Besides basic stickers (white, yellow, orange, red, green, blue) every piece on the puzzle has pink and purple stickers which indicate in which 4d orientation the piece is. In the solved state every piece must have the same 4d axis orientation. The 3x2x2x1 is a bit more complicated than 3x2x2. It can be solved by: orienting 4c piece in 4d axis, orienting 5c pieces in 4d axis, solving the rest of the puzzle like a 2^3^. Tymon made a [YouTube video](https://youtu.be/TytFuKXL_Xg) showing an example solve of the puzzle.
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Besides basic stickers (white, yellow, orange, red, green, blue) every piece on the puzzle has pink and purple stickers which indicate in which 4d orientation the piece is. In the solved state every piece must have the same 4d axis orientation. The 1x2x2x3 is a bit more complicated than 2x2x3. It can be solved by: orienting 4c piece in 4d axis, orienting 5c pieces in 4d axis, solving the rest of the puzzle like a 2^3^. Tymon made a [YouTube video](https://youtu.be/TytFuKXL_Xg) showing an example solve of the puzzle.

docs/puzzles/physical/1x2x3x3.md

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# Tymon's 3x3x2x1
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# Tymon's 1x2x3x3
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!!! info inline end "Tymon's 3x3x2x1"
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![Tymon's 3x3x2x1](/assets/images/3321phys.jpeg)
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!!! info inline end "Tymon's 1x2x3x3"
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![Tymon's 1x2x3x3](/assets/images/3321phys.jpeg)
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**4D Shape:** Hypercuboid
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## History
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Over a week after completing the physical 3x2x2x1, [Tymon F](https://hypercubing.xyz/leaderboards/solvers/tymofro/) finished assembling another four 4c pieces and two new 3c pieces that combined with the 3x2x2x1 to create the physical 3x3x2x1 puzzle. This was the last puzzle made with the goal of creating a physical 3x3x3x1.
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Over a week after completing the physical 1x2x2x3, [Tymon F](https://hypercubing.xyz/leaderboards/solvers/tymofro/) finished assembling another four 4c pieces and two new 3c pieces that combined with the 1x2x2x3 to create the physical 1x2x3x3 puzzle. This was the last puzzle made with the goal of creating a physical 1x3x3x3.
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## Moves
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Legal moves of a layer include normal 3x3x2 90° and 180° twists that rotate pieces without changing their 4d orientation, 4d 180° twists that change the pink/purple stickers, or a combination of both.
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Legal moves of a layer include normal 2x3x3 90° and 180° twists that rotate pieces without changing their 4d orientation, 4d 180° twists that change the pink/purple stickers, or a combination of both.
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## Solving
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Besides basic stickers (white, yellow, orange, red, green, blue) every piece on the puzzle has pink and purple stickers which indicate in which 4d orientation the piece is. In the solved state every piece must have the same 4d axis orientation.
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The 3x3x2x1 puzzle is much more complicated than smaller hypercuboids, but it can be solved by: orienting 3c pieces in 4d axis, orienting 4c piece in 4d axis, orienting 5c pieces in 4d axis, solving the rest of the puzzle like 3d 3x3x2. Tymon made a [YouTube video](https://youtu.be/zJ13FI62GDE) showing an example solve of the puzzle.
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The 1x2x3x3 puzzle is much more complicated than smaller hypercuboids, but it can be solved by: orienting 3c pieces in 4d axis, orienting 4c piece in 4d axis, orienting 5c pieces in 4d axis, solving the rest of the puzzle like 3d 2x3x3. Tymon made a [YouTube video](https://youtu.be/zJ13FI62GDE) showing an example solve of the puzzle.

docs/puzzles/physical/1x3x3x3.md

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# Tymon's 3x3x3x1
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# Tymon's 1x3x3x3
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!!! info inline end "Tymon's 3x3x3x1"
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![Tymon's 3x2x2x1](/assets/images/3331phys.jpeg)
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!!! info inline end "Tymon's 1x3x3x3"
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![Tymon's 1x3x3x3](/assets/images/3331phys.jpeg)
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**4D Shape:** Hypercuboid
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## History
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Two days after finishing the 3x3x2x1 [Tymon F](https://hypercubing.xyz/leaderboards/solvers/tymofro/) completed his final goal, creating a physical analog of the 3x3x3x1 puzzle. To do this he had to assemble another four 4c pieces, four 3c pieces and one 2c piece that represents two 1c pieces on the virtual puzzle. This ended Tymon's journey of creating all physical puzzles from the AxBxCx1 family.
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Two days after finishing the 1x2x3x3 [Tymon F](https://hypercubing.xyz/leaderboards/solvers/tymofro/) completed his final goal, creating a physical analog of the 1x3x3x3 puzzle. To do this he had to assemble another four 4c pieces, four 3c pieces and one 2c piece that represents two 1c pieces on the virtual puzzle. This ended Tymon's journey of creating all physical puzzles from the AxBxCx1 family.
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## Moves
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![Tymon's 3x3x3x1 with one half exposed](/assets/images/3331phys_1.jpeg){width="50%"}
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![Tymon's 1x3x3x3 with one half exposed](/assets/images/3331phys_1.jpeg){width="50%"}
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## Solving
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Every piece on the puzzle has pink and purple stickers which indicate which 4d orientation the piece is. In the solved state every piece must have the same 4d axis orientation.
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3x3x3x1 is harder than the 3d Rubik's cube, but it can be solved by: orienting 3c pieces in 4d axis, orienting 4c pieces in 4d axis, orienting 5c pieces in 4d axis, except "OLL parity" (because of the extra axis, a single 5c can be missoriented), then solving the rest of the puzzle like a 3d Rubik's cube. Tymon made a [YouTube video](https://youtu.be/CzwTSD_fCDY) explaining the puzzle as well as showing an example solve.
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1x3x3x3 is harder than the 3d Rubik's cube, but it can be solved by: orienting 3c pieces in 4d axis, orienting 4c pieces in 4d axis, orienting 5c pieces in 4d axis, except "OLL parity" (because of the extra axis, a single 5c can be missoriented), then solving the rest of the puzzle like a 3d Rubik's cube. Tymon made a [YouTube video](https://youtu.be/CzwTSD_fCDY) explaining the puzzle as well as showing an example solve.
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### Gyro
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This puzzle has two 1c pieces that are physicaly represented by one 2c piece (the core). Technically the puzzle is solved only when all of the other pieces have the pink sticker on the outside cell (because pink is outside on the core piece). To be able to solve the puzzle with purple color facing outwards, Tymon created a gyro algorithm that flips all pieces inside out and puts the core outside of the puzzle. This represents that pink/purple axis is flipped and now the puzzle is only solved when all of the pieces are oriented with purple on the ouside. The gyro can be reversed to get back to default projection.
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![3x3x3x1 gyro gif](/assets/images/3331gyro.gif){width="50%"}
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![1x3x3x3 gyro gif](/assets/images/3331gyro.gif){width="50%"}
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### OLL Parity
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The original solved state well represents which sticker on a piece is on the inside and which one is on the outside, but some people prefer a solved state with edges rotated 4 dimensionaly. This is because then the overall look of the puzzle is less chaotic and more friendly to non hypercubers.
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![Tymon's 3x3x3x1 alternative solve state](/assets/images/3331physalt.jpeg){width="50%"}
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![Tymon's 1x3x3x3 alternative solve state](/assets/images/3331physalt.jpeg){width="50%"}

docs/puzzles/physical/2x2x2x2/image-generator.md

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Generate an image of a physical 2x2x2x2 by inputting moves using [canonical moves notation](/puzzles/physical/2x2x2x2/canonical-moves), or by specifying the color per sticker. You can also do this directly from the URL by adding `?&moves=` or `?&stickers=` at the end, and using - to separate (and `H` instead of `#` for gyro).
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??? note "Generate by move input"
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**Moves that the generator will accept:**
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`zy` `yz` `xz` `zx` `yx` `xy` `yw` `wy` `xw` `wx` `zw` `wz` `Ly` `Ly'` `Ly2` `Lx2` `Lz2` `Lx2,y` `Lx2,y'` `Lx` `Lx,y` `Lx,y'` `Lx,y2` `Lx'` `Lx',y` `Lx',y'` `Lx',y2` `Lz` `Lz,y` `Lz,y'` `Lz,y2` `Lz'` `Lz',y` `Lz',y'` `Lz',y2` `Ry` `Ry'` `Ry2` `Rx2` `Rz2` `Rx2,y` `Rx2,y'` `Rx` `Rx,y` `Rx,y'` `Rx,y2` `Rx'` `Rx',y` `Rx',y'` `Rx',y2` `Rz` `Rz,y` `Rz,y'` `Rz,y2` `Rz'` `Rz',y` `Rz',y'` `Rz',y2` `Ix` `Ix'` `Ix2` `Ox` `Ox'` `Ox2` `U2` `F2` `B2` `D2` `#`
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<label for="textinput"><br>Input moves: (separated by spaces)<br></label>
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<p id="demo"></p>
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<img id="imgShow" hidden="hidden" src="#">
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```
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Piece/Sticker order:
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`LUBO` `LUBI` `LUFO` `LDBO` `LDBI` `LDFI` `LDFO` `RUBI` `RUBO` `RUFO` `RUFI` `RDBI` `RDBO` `RDFI` `RDFO`
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<label for="stickerinput">Input stickers by piece: (separated by line breaks)<br></label>
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<textarea id="stickerinput" name="stickerinput" rows="4" cols="50">
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[input[1][3][1], input[1][3][2]] = [input[1][3][2], input[1][3][1]];
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[input[1][7][1], input[1][7][2]] = [input[1][7][2], input[1][7][1]];
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docs/puzzles/physical/2x2x2x2/index.md

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!!! info inline end "Melinda's 2x2x2x2"
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![Melinda's 2x2x2x2](/assets/images/2_4_transparent.png)
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**4D Shape:** Tesseract
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**Physical Shape:** Rectangular prism
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!!! example "Animations showing how the virtual and physical 2^4^ transform into each other"
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![physical to virtual 2x2x2x2 transformation 1](/assets/images/2222Phys_Virt.gif){width="40%"}
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![physical to virtual 2x2x2x2 transformatio 2](/assets/images/wip_physical_virtual_24_animation_v2.gif){width="40%"} </center>
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![physical to virtual 2x2x2x2 transformatio 2](/assets/images/wip_physical_virtual_24_animation_v2.gif){width="40%"}
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Each twist and rotation on the virtual 2^4^ is possible to do on the physical puzzle, albeit with certain moves requiring some extra setup. See the [canonical moves](/puzzles/physical/2x2x2x2/canonical-moves) page for a more detailed explanation.
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Also see Melinda's [video](https://www.youtube.com/watch?v=DzRH8BOJL8Q) on the official canonical moves.
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In December of 2017, Melinda made a [video](https://www.youtube.com/watch?v=_D4m1Kit3TI) fully explaining the puzzle, including its canonical moves, scrambling, and more.
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docs/puzzles/physical/index.md

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It is highly recommended to learn how [virtual puzzles](/puzzles) work first before trying to understand the physical puzzles.
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!!! info inline end "Physical 3x3x3x3"
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![physical 3x3x3x3.](/assets/images/physical3333.png){width="100%"}
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![Grant's physical 3x3x3x3](/assets/images/physical3333.png){width="100%"}
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Physical puzzles refer to higher dimensional puzzles that are physically built in real life (using only 3 dimensions). This involves clever designs, strange symmetry-abusing tricks, and lots and lots of magnets. Often, these puzzles are too impractical to use, defeating their sole purpose.
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- Grant's 1x1x1x1
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- [Grant's 3x3x3x3](/puzzles/physical/3x3x3x3)
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- [Dominik's 4D Pyraminx](/puzzles/physical/4d-pyraminx)
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- [Tymon's 2x2x2x1](/puzzles/physical/1x2x2x2)
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- [Tymon's 3x2x2x1](/puzzles/physical/1x2x2x3)
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- [Tymon's 3x3x2x1](/puzzles/physical/1x2x3x3)
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- [Tymon's 3x3x3x1](/puzzles/physical/1x3x3x3)
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- [Tymon's 1x2x2x2](/puzzles/physical/1x2x2x2)
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- [Tymon's 1x2x2x3](/puzzles/physical/1x2x2x3)
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- [Tymon's 1x2x3x3](/puzzles/physical/1x2x3x3)
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- [Tymon's 1x3x3x3](/puzzles/physical/1x3x3x3)
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## Designs that haven't been built yet
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