# Pseutilus Proposal | (Basically Pseudo Nautilus lol)

#### V Achyuthan

##### Member
Pseutilus (Pseudo Nautilus). It combines block building, pseudo tricks and the same number of algorithmic steps as Mehta method. It supports a movecount lesser than CFOP and similar to Roux.

Steps
1. Pseudo 222
2. 123 block either on the F or the R face
3. EOLE
4. 5CO
5. Insert last F2L corner while arriving at F2L-1 edge state
6. HKPLL

More detailed overview of the steps
1. Pseudo 222

Build a pseudo 222 block on the bdl position. This step takes around 5 moves on average. There is one restriction on this step. The 221 on the bottom layer should not be in the opposite position from its normal place. Here is an example to show what I mean
R2 F' D2 L2 B F R2 F R2 U2 F' L' U' B2 D L2 R' D R2 D2
x y' D' L2 D' // This is not possible because you can no longer build the dR l square of dL square
Here is the correct way of building the pseudo 222 for this scramble
x y2 D U' B2 // This is the correct way of doing the pseudo 222 because now you can continue with the next step.

2. 123 block either on the F or the R face
(Sorry I don't know how to make pictures with visual cube)
Just a note that don’t get confused by the title. This step isn’t based on your choice. After you build a pseudo 222 you have the front and the right centres to build a 123 block. There is a 100% chance that the cross edge of one of the colours of the front or the right centres will be a piece of the pseudo 222. Take the example of the pictures above. The picture on the left is a block on the right because if you try to build the 123 block on the front, you will find that the cross edge piece is actually a part of the pseudo 222. And vice versa for the picture on the right. This step takes around 10-15 moves.

3. EOLE
In this step you solve the last belt edge while orienting the remaining edges. This step is algorithmic. The main/advanced way to do it is to do EO while inserting the last belt edge. This requires 110 algorithms. But I haven’t generated the main/advanced algorithms yet. I am working on it. Anybody interested to help can PM me. I have generated all the algs. Just need the pictures The beginner way to do this is to insert the last belt edge and then do EO. I have generated the beginner algorithms. There are 20 beginner algorithms (10 for inserting the edge and 10 for EO). You can find the algs here. This step takes 6.33 moves on average with the advanced/main way.

4. 5CO
In this step you orient the corners. Do a D move to place the unsolved Bottom layer corner in
the DFR position and perform 1 algorithm to orient all the corners. The beginner way to do this is to orient the bottom corner. And then do OCLL algorithm to Orient the Last 4 Corners. Recognition for beginners way is to just look at the way the UBR corner is oriented and then perform the corresponding algorithm. The Beginner way requires 9 algorithms. You can find the beginner algorithms here. The main/advanced way to do this is to orient all the corners in one algorithm. The main/advanced way requires 23 Algorithms. You can find the main/advanced algorithms here. Thi step takes 8.41 moves on average with the advanced/main way.

5. Insert last F2L corner while arriving at F2L-1 edge state
In this step you solve the remaining F2L corner and fix the rest of F2L minus the one cross edge. For recognition always bring the Remaining F2L corner to the UFR position. If it is stuck in the bottom layer use the algs in the alg doc. The algs can be found here.

6. HKPLL
This step is derived from the Hawaiin Kociemba method. The main/advanced way is to solve the rest of the cube in 1 algorithm using 149 algorithms. I haven’t generated these yet. The beginner way is to solve the DR edge and then do normal PLL. To insert the DR edge move the top layer until it is in the UL spot and then do S R2 S’ R2 or move it to the UR spot and do S’ U2 S.

EXAMPLE SOLVES
1. U2 R2 D2 U2 F2 U2 F U2 R2 L U' L' D' B2 U F2 D2 R'
x y' D L' // Pseudo 222
U' R2 U' R' U' F' U F' U' r U2 l U' R' U L' // SB
U' F R F' // EOLE
R' U' R U' R' U2 R // CO
U F2 D' F2 // Insert last F2L corner while arriving at F2L-1 edge state
y2 U F2 R2 F U F' R2 F U' F U2 // HKPLL
44 STM

2. F2 L2 B2 D2 U L2 B2 U2 L2 F2 U L' R F' R2 D F2 R2 B' U' B
x y B' L' F B D' // Pseudo 222
R' F' U R F R' D F' U F D' // SB
U L F' L' F L' U L // EOLE
D' L U2 L' U L U L' D // 5CO
R2 D R2 // Insert last F2L corner while arriving at F2L-1 edge state
U2 M2 U' M U2 M' U' M2 // PLL
44 STM

3. B L' F2 U2 F' R' B2 R U F2 D2 B2 L2 D R2 D L2 D' L2
x D2 B2 L F D2 y' // Pseudo 222
F R' U' F' U2 F R2 U R2 U' f R2 f' U' f R f' // SB
L F' L' F L' U2 L // EOLE
L D L' U' L D' L' // 5CO
U R2 D R2 // Insert last F2L corner while arriving at F2L-1 edge state
y U2 R U2 R2 U2 R2 U2 R U // HKPLL / L5EP
49 STM

PROS
Maintains Low movecount while having 3 algorithmic steps.
CONS
Look ahead can be hard sometimes, But can be made better with practice.

#### V Achyuthan

##### Member
Pseutilus (Pseudo Nautilus). It combines block building, pseudo tricks and the same number of algorithmic steps as Mehta method. It supports a movecount lesser than CFOP and similar to Roux.

Steps
1. Pseudo 222
2. 123 block either on the F or the R face
3. EOLE
4. 5CO
5. Insert last F2L corner while arriving at F2L-1 edge state
6. HKPLL

More detailed overview of the steps
1. Pseudo 222

Build a pseudo 222 block on the bdl position. This step takes around 5 moves on average. There is one restriction on this step. The 221 on the bottom layer should not be in the opposite position from its normal place. Here is an example to show what I mean
R2 F' D2 L2 B F R2 F R2 U2 F' L' U' B2 D L2 R' D R2 D2
x y' D' L2 D' // This is not possible because you can no longer build the dR l square of dL square
Here is the correct way of building the pseudo 222 for this scramble
x y2 D U' B2 // This is the correct way of doing the pseudo 222 because now you can continue with the next step.

2. 123 block either on the F or the R face
(Sorry I don't know how to make pictures with visual cube)
Just a note that don’t get confused by the title. This step isn’t based on your choice. After you build a pseudo 222 you have the front and the right centres to build a 123 block. There is a 100% chance that the cross edge of one of the colours of the front or the right centres will be a piece of the pseudo 222. Take the example of the pictures above. The picture on the left is a block on the right because if you try to build the 123 block on the front, you will find that the cross edge piece is actually a part of the pseudo 222. And vice versa for the picture on the right. This step takes around 10-15 moves.

3. EOLE
In this step you solve the last belt edge while orienting the remaining edges. This step is algorithmic. The main/advanced way to do it is to do EO while inserting the last belt edge. This requires 110 algorithms. But I haven’t generated the main/advanced algorithms yet. I am working on it. Anybody interested to help can PM me. I have generated all the algs. Just need the pictures The beginner way to do this is to insert the last belt edge and then do EO. I have generated the beginner algorithms. There are 20 beginner algorithms (10 for inserting the edge and 10 for EO). You can find the algs here. This step takes 6.33 moves on average with the advanced/main way.

4. 5CO
In this step you orient the corners. Do a D move to place the unsolved Bottom layer corner in
the DFR position and perform 1 algorithm to orient all the corners. The beginner way to do this is to orient the bottom corner. And then do OCLL algorithm to Orient the Last 4 Corners. Recognition for beginners way is to just look at the way the UBR corner is oriented and then perform the corresponding algorithm. The Beginner way requires 9 algorithms. You can find the beginner algorithms here. The main/advanced way to do this is to orient all the corners in one algorithm. The main/advanced way requires 23 Algorithms. You can find the main/advanced algorithms here. Thi step takes 8.41 moves on average with the advanced/main way.

5. Insert last F2L corner while arriving at F2L-1 edge state
In this step you solve the remaining F2L corner and fix the rest of F2L minus the one cross edge. For recognition always bring the Remaining F2L corner to the UFR position. If it is stuck in the bottom layer use the algs in the alg doc. The algs can be found here.

6. HKPLL
This step is derived from the Hawaiin Kociemba method. The main/advanced way is to solve the rest of the cube in 1 algorithm using 149 algorithms. I haven’t generated these yet. The beginner way is to solve the DR edge and then do normal PLL. To insert the DR edge move the top layer until it is in the UL spot and then do S R2 S’ R2 or move it to the UR spot and do S’ U2 S.

EXAMPLE SOLVES
1. U2 R2 D2 U2 F2 U2 F U2 R2 L U' L' D' B2 U F2 D2 R'
x y' D L' // Pseudo 222
U' R2 U' R' U' F' U F' U' r U2 l U' R' U L' // SB
U' F R F' // EOLE
R' U' R U' R' U2 R // CO
U F2 D' F2 // Insert last F2L corner while arriving at F2L-1 edge state
y2 U F2 R2 F U F' R2 F U' F U2 // HKPLL
44 STM

2. F2 L2 B2 D2 U L2 B2 U2 L2 F2 U L' R F' R2 D F2 R2 B' U' B
x y B' L' F B D' // Pseudo 222
R' F' U R F R' D F' U F D' // SB
U L F' L' F L' U L // EOLE
D' L U2 L' U L U L' D // 5CO
R2 D R2 // Insert last F2L corner while arriving at F2L-1 edge state
U2 M2 U' M U2 M' U' M2 // PLL
44 STM

3. B L' F2 U2 F' R' B2 R U F2 D2 B2 L2 D R2 D L2 D' L2
x D2 B2 L F D2 y' // Pseudo 222
F R' U' F' U2 F R2 U R2 U' f R2 f' U' f R f' // SB
L F' L' F L' U2 L // EOLE
L D L' U' L D' L' // 5CO
U R2 D R2 // Insert last F2L corner while arriving at F2L-1 edge state
y U2 R U2 R2 U2 R2 U2 R U // HKPLL / L5EP
49 STM

PROS
Maintains Low movecount while having 3 algorithmic steps.
CONS
Look ahead can be hard sometimes, But can be made better with practice.
Let me know your thoughts on this
Edit : I should have edited the main post. Sorry

#### TheCubingCuber347

##### Member
It's a cool idea but ergonomics are terrible and HKPLL isn't really good (y2 rotation for LL?). Lookahead is bad and just because it gets better with practice doesn't mean it will ever be as good as CFOP/Roux etc.

Why not skip steps 4 and 5 and instead, after EOLE (which seems much worse than Mehta's) insert the last two F2L pieces in one algs while fixing pseudo (forcing pseudo every time isn't really optimal by the way. It only works on Mehta because FB and 3QB are separate, pseudo F2L for example would be bad for lookahead) and then finishing with ZBLL?

It's a cool idea but I don't think it's a speedsolving method. Please offer the advantages over other methods besides the generic "Less moves than CFOP and roughly equal to Roux".

#### V Achyuthan

##### Member
It's a cool idea but ergonomics are terrible and HKPLL isn't really good (y2 rotation for LL?). Lookahead is bad and just because it gets better with practice doesn't mean it will ever be as good as CFOP/Roux etc.

Why not skip steps 4 and 5 and instead, after EOLE (which seems much worse than Mehta's) insert the last two F2L pieces in one algs while fixing pseudo (forcing pseudo every time isn't really optimal by the way. It only works on Mehta because FB and 3QB are separate, pseudo F2L for example would be bad for lookahead) and then finishing with ZBLL?

It's a cool idea but I don't think it's a speedsolving method. Please offer the advantages over other methods besides the generic "Less moves than CFOP and roughly equal to Roux".
Before I came up with the idea of ending with HKPLL, I thought of this
Same until EOLE
Pair up the last 2 F2L pieces
Insert both of them and finish F2L
ZBLL
But since I didn't know how to generate algs for Pairing up the last 2 F2L pieces I dropped that idea. Tell me if this idea is better than the one on the original post.
The only other thing I can think of that this has some advantages is that it has got 3 algorithmic steps in a row which allows for higher TPS.

#### abunickabhi

##### Member
Pseutilus (Pseudo Nautilus). It combines block building, pseudo tricks and the same number of algorithmic steps as Mehta method. It supports a movecount lesser than CFOP and similar to Roux.

Steps
1. Pseudo 222
2. 123 block either on the F or the R face
3. EOLE
4. 5CO
5. Insert last F2L corner while arriving at F2L-1 edge state
6. HKPLL

More detailed overview of the steps
1. Pseudo 222

Build a pseudo 222 block on the bdl position. This step takes around 5 moves on average. There is one restriction on this step. The 221 on the bottom layer should not be in the opposite position from its normal place. Here is an example to show what I mean
R2 F' D2 L2 B F R2 F R2 U2 F' L' U' B2 D L2 R' D R2 D2
x y' D' L2 D' // This is not possible because you can no longer build the dR l square of dL square
Here is the correct way of building the pseudo 222 for this scramble
x y2 D U' B2 // This is the correct way of doing the pseudo 222 because now you can continue with the next step.

2. 123 block either on the F or the R face
(Sorry I don't know how to make pictures with visual cube)
Just a note that don’t get confused by the title. This step isn’t based on your choice. After you build a pseudo 222 you have the front and the right centres to build a 123 block. There is a 100% chance that the cross edge of one of the colours of the front or the right centres will be a piece of the pseudo 222. Take the example of the pictures above. The picture on the left is a block on the right because if you try to build the 123 block on the front, you will find that the cross edge piece is actually a part of the pseudo 222. And vice versa for the picture on the right. This step takes around 10-15 moves.

3. EOLE
In this step you solve the last belt edge while orienting the remaining edges. This step is algorithmic. The main/advanced way to do it is to do EO while inserting the last belt edge. This requires 110 algorithms. But I haven’t generated the main/advanced algorithms yet. I am working on it. Anybody interested to help can PM me. I have generated all the algs. Just need the pictures The beginner way to do this is to insert the last belt edge and then do EO. I have generated the beginner algorithms. There are 20 beginner algorithms (10 for inserting the edge and 10 for EO). You can find the algs here. This step takes 6.33 moves on average with the advanced/main way.

4. 5CO
In this step you orient the corners. Do a D move to place the unsolved Bottom layer corner in
the DFR position and perform 1 algorithm to orient all the corners. The beginner way to do this is to orient the bottom corner. And then do OCLL algorithm to Orient the Last 4 Corners. Recognition for beginners way is to just look at the way the UBR corner is oriented and then perform the corresponding algorithm. The Beginner way requires 9 algorithms. You can find the beginner algorithms here. The main/advanced way to do this is to orient all the corners in one algorithm. The main/advanced way requires 23 Algorithms. You can find the main/advanced algorithms here. Thi step takes 8.41 moves on average with the advanced/main way.

5. Insert last F2L corner while arriving at F2L-1 edge state
In this step you solve the remaining F2L corner and fix the rest of F2L minus the one cross edge. For recognition always bring the Remaining F2L corner to the UFR position. If it is stuck in the bottom layer use the algs in the alg doc. The algs can be found here.

6. HKPLL
This step is derived from the Hawaiin Kociemba method. The main/advanced way is to solve the rest of the cube in 1 algorithm using 149 algorithms. I haven’t generated these yet. The beginner way is to solve the DR edge and then do normal PLL. To insert the DR edge move the top layer until it is in the UL spot and then do S R2 S’ R2 or move it to the UR spot and do S’ U2 S.

EXAMPLE SOLVES
1. U2 R2 D2 U2 F2 U2 F U2 R2 L U' L' D' B2 U F2 D2 R'
x y' D L' // Pseudo 222
U' R2 U' R' U' F' U F' U' r U2 l U' R' U L' // SB
U' F R F' // EOLE
R' U' R U' R' U2 R // CO
U F2 D' F2 // Insert last F2L corner while arriving at F2L-1 edge state
y2 U F2 R2 F U F' R2 F U' F U2 // HKPLL
44 STM

2. F2 L2 B2 D2 U L2 B2 U2 L2 F2 U L' R F' R2 D F2 R2 B' U' B
x y B' L' F B D' // Pseudo 222
R' F' U R F R' D F' U F D' // SB
U L F' L' F L' U L // EOLE
D' L U2 L' U L U L' D // 5CO
R2 D R2 // Insert last F2L corner while arriving at F2L-1 edge state
U2 M2 U' M U2 M' U' M2 // PLL
44 STM

3. B L' F2 U2 F' R' B2 R U F2 D2 B2 L2 D R2 D L2 D' L2
x D2 B2 L F D2 y' // Pseudo 222
F R' U' F' U2 F R2 U R2 U' f R2 f' U' f R f' // SB
L F' L' F L' U2 L // EOLE
L D L' U' L D' L' // 5CO
U R2 D R2 // Insert last F2L corner while arriving at F2L-1 edge state
y U2 R U2 R2 U2 R2 U2 R U // HKPLL / L5EP
49 STM

PROS
Maintains Low movecount while having 3 algorithmic steps.
CONS
Look ahead can be hard sometimes, But can be made better with practice.
Nice cube explorer screenshots. I had to give two reads to the post to understand the method and its variation completely.

#### TheCubingCuber347

##### Member
Before I came up with the idea of ending with HKPLL, I thought of this
Same until EOLE
Pair up the last 2 F2L pieces
Insert both of them and finish F2L
ZBLL
But since I didn't know how to generate algs for Pairing up the last 2 F2L pieces I dropped that idea. Tell me if this idea is better than the one on the original post.
The only other thing I can think of that this has some advantages is that it has got 3 algorithmic steps in a row which allows for higher TPS.
That, imo, is more ergonomic than your original proposal but it doesn't fix the problems of step 2 and 3.

More algorithmic steps aren't necessarily good, cubers like Kyle Santucci have pretty similar TPS during F2L and LL and you have the problem with recognizing a bunch of algs every solve which could get exhausting. On top of this, algs don't make your solve better if they have terrible ergo's.

I would recommend persevering in your efforts to gen the last F2L pieces as it seems much better.