EZCSP
Easy Cubeshape Parity
For this guide, I am assuming black top/white bottom and an otherwise standard color scheme.
• Orientation refers to the color on U or D (black or white)
• Color refers to the color on rest of the piece (green, orange, blue, or red)
• Type refers to whether it is an edge or a corner
• Orientation refers to the color on U or D (black or white)
• Color refers to the color on rest of the piece (green, orange, blue, or red)
• Type refers to whether it is an edge or a corner
Shapes
24 general shapes
29 total shapes (i.e. mirrored shapes count seperately)
How it Works:
• Purple: Starting position (start/continue tracing at this piece, going clockwise)
• Red: Odd-numbered edge positions (if it's the same type, include the purple piece)
• Cyan: Odd-numbered corner positions (if it's the same type, include the purple piece)
Keep in mind that these are the tracing positions that make the most sense to me, but if you don't like them, feel free to choose new ones.
Just remember to check the solutions after picking a new tracing scheme to see if the Odd/Even solutions swapped or not!
• Purple: Starting position (start/continue tracing at this piece, going clockwise)
• Red: Odd-numbered edge positions (if it's the same type, include the purple piece)
• Cyan: Odd-numbered corner positions (if it's the same type, include the purple piece)
Keep in mind that these are the tracing positions that make the most sense to me, but if you don't like them, feel free to choose new ones.
Just remember to check the solutions after picking a new tracing scheme to see if the Odd/Even solutions swapped or not!
0 Edges
Star
2 Edges
Note:
You may notice the cyan pieces seem to not be odd-numbered.
That's because they have 5 corners (which means the other layer has 3 corners), and when tracing, they are always done second.
Since the first layer has 3 corners, the 1st and 3rd corner positions of the entire cubeshape will correspond to the
1st and 3rd corner positions of the first layer (as expected), but the 5th and 7th corner positions of
the entire cubeshape will actually correspond to the 2nd and 4th corner positions of the second layer.
"Odd-numbered corner position" is in the context of the entire cubeshape, not the single layer.
Pair
(Paired edges)
(Paired edges)
L
(Perpendicular edges)
(Perpendicular edges)
I
(Parallel edges)
(Parallel edges)
4 Edges
Scallop
Shield
Barrel
Square
Kite
Paw
(Pawn)
(Pawn)
Left Paw
Right Paw
Right Paw
Muffin
(Mushroom)
(Mushroom)
Fist
Left Fist
Right Fist
Right Fist
6 Edges
2-2-2
3-3
House
3-1-2
3-2-1
3-2-1
4-2
Left 4-2
Right 4-2
Right 4-2
4-1-1
5-1
Left 5-1
Right 5-1
Right 5-1
6
8 Edges
8
7-1
6-2
5-3
4-4
Tracing
Start your parity count at 0.
1. White Edge Color Parity
You are going to observe the first 3 white edges of the cubeshape (i.e. starting from the purple piece of the first layer listed in the case), and reduce it to 2.
If a color is followed by its opposite, remove the opposite.
If there are no opposite colors adjacent to each other, ignore the first color.
Consider the two remaining colors.
If they are Blue and Orange or Red and Green, +1 to parity count.
Otherwise, add nothing.
If a color is followed by its opposite, remove the opposite.
Example: Green, Blue, Red would be reduced to Green, Red.
When tracing, I usually think of nothing instead of the opposite color to make it easier.
So, I would think "Green, ..., Red", which reduces to Green, Red.
When tracing, I usually think of nothing instead of the opposite color to make it easier.
So, I would think "Green, ..., Red", which reduces to Green, Red.
If there are no opposite colors adjacent to each other, ignore the first color.
Example: Blue, Orange, Green would be reduced to Orange, Green.
When tracing, once I notice that Blue and Orange are not opposites, when I see Green is the last color (not the opposite of Orange), I forget about Blue, leaving me with only Orange, Green.
When tracing, once I notice that Blue and Orange are not opposites, when I see Green is the last color (not the opposite of Orange), I forget about Blue, leaving me with only Orange, Green.
Consider the two remaining colors.
If they are Blue and Orange or Red and Green, +1 to parity count.
Otherwise, add nothing.
2. Black Edge Color Parity
Same as above, but with the black edges.
3. White Corner Color Parity
Same as above, but with the white corners.
The color on the corner you should be considering is the counter-clockwisemost color on the corner.
The color on the corner you should be considering is the counter-clockwisemost color on the corner.
4. Black Corner Color Parity
Same as above, but with the black corners.
5. Edge Position Parity
Consider the orientation of the edges in the odd-numbered edge positions (i.e the red pieces), starting from the purple piece (and including it if it is an edge).
If there are an odd amount of black edges in these positions, +1 to parity count.
Otherwise, add nothing.
If there are an odd amount of black edges in these positions, +1 to parity count.
Otherwise, add nothing.
6. Corner Position Parity
Same as above, but instead consider the orientation of the corners in the odd-numbered corner positions (i.e the cyan pieces), starting from the purple piece (and including it if it is an corner).
Once you finish those 6 steps, your parity count being odd or even (i.e. the parity of the number) determines the solution!
Solution
65 general cases
78 distinct cases (i.e. horizontally mirrored cubeshapes with different solutions count separately)
How it Works:
For the general cubeshape X/Y, start tracing from the starting position (i.e. the purple piece) of X, even if it is on the bottom layer.
If a case is in an orange box you will have to +1 extra to your parity count before determining your solution.
These solutions are written as reductions to 3-slicers (which you should already know optimally) and should work from any angle.
The cases below are listed in order of most to least probable, according to Hashtag Cuber's website. It is recommended to learn them in this order, but I also have my own order of learning cases which is only slightly different (where cases and case sets are roughly organized by similarity to each other, probability, and simplicity):
For the general cubeshape X/Y, start tracing from the starting position (i.e. the purple piece) of X, even if it is on the bottom layer.
If a case is in an orange box you will have to +1 extra to your parity count before determining your solution.
These solutions are written as reductions to 3-slicers (which you should already know optimally) and should work from any angle.
The cases below are listed in order of most to least probable, according to Hashtag Cuber's website. It is recommended to learn them in this order, but I also have my own order of learning cases which is only slightly different (where cases and case sets are roughly organized by similarity to each other, probability, and simplicity):
Left 4-2/Pair
Right 4-2/Pair
Odd:
• Shield/Shield
• Solve
• Shield/Shield
• Solve
Even:
• Scallop/Scallop
• Solve
• Scallop/Scallop
• Solve
4-1-1/Pair
Odd:
• Opposite Paw/Paw (by connecting Pair to 4-1-1's clockwise-most L)
• Solve
• Opposite Paw/Paw (by connecting Pair to 4-1-1's clockwise-most L)
• Solve
Even:
• Opposite Paw/Paw (by connecting Pair to 4-1-1's counterclockwise-most L)
• Solve
• Opposite Paw/Paw (by connecting Pair to 4-1-1's counterclockwise-most L)
• Solve
3-3/Pair
Odd:
• Shield/Muffin (by connecting 3-3's I to the Pair's clockwise-most edge)
• Scallop/Kite
• Solve
• Shield/Muffin (by connecting 3-3's I to the Pair's clockwise-most edge)
• Scallop/Kite
• Solve
Even:
• Shield/Muffin (by connecting 3-3's I to the Pair's counterclockwise-most edge)
• Scallop/Kite
• Solve
• Shield/Muffin (by connecting 3-3's I to the Pair's counterclockwise-most edge)
• Scallop/Kite
• Solve
House/Pair
Odd:
• House/L
• Shield/Square
• Solve
• House/L
• Shield/Square
• Solve
Even:
• 5-1/Pair
• Scallop/Kite
• Solve
• 5-1/Pair
• Scallop/Kite
• Solve
Scallop/Shield
Odd:
• 4-2/Pair (by slicing across Shield's counterclockwise-most Pair)
• Scallop/Scallop
• Solve
• 4-2/Pair (by slicing across Shield's counterclockwise-most Pair)
• Scallop/Scallop
• Solve
Even:
• 4-2/Pair (by slicing across Shield's clockwise-most Pair)
• Scallop/Scallop
• Solve
• 4-2/Pair (by slicing across Shield's clockwise-most Pair)
• Scallop/Scallop
• Solve
Scallop/Left Fist
Scallop/Right Fist
Odd:
• Left 5-1/Pair
• Scallop/Kite
• Solve
• Left 5-1/Pair
• Scallop/Kite
• Solve
Even:
• Right 5-1/Pair
• Scallop/Kite
• Solve
• Right 5-1/Pair
• Scallop/Kite
• Solve
Shield/Fist
Odd:
• 3-3/L
• Opposite Paw/Paw (by connecting one of 3-3's pairs to L's clockwise-most edge)
• Solve
• 3-3/L
• Opposite Paw/Paw (by connecting one of 3-3's pairs to L's clockwise-most edge)
• Solve
Even:
• 3-3/L
• Opposite Paw/Paw (by connecting one of 3-3's pairs to L's counterclockwise-most edge)
• Solve
• 3-3/L
• Opposite Paw/Paw (by connecting one of 3-3's pairs to L's counterclockwise-most edge)
• Solve
6/Pair
Odd:
• Scallop/Scallop (by connecting Pair to 6's counterclockwise-most pair)
• Solve
• Scallop/Scallop (by connecting Pair to 6's counterclockwise-most pair)
• Solve
Even:
• Scallop/Scallop (by connecting Pair to 6's clockwise-most pair)
• Solve
• Scallop/Scallop (by connecting Pair to 6's clockwise-most pair)
• Solve
5-1/Pair
Odd:
• Scallop/Kite
• 4-1-1/L
• Scallop/Kite (switch which edges of Kite's Ls are connected)
• Solve
• Scallop/Kite
• 4-1-1/L
• Scallop/Kite (switch which edges of Kite's Ls are connected)
• Solve
Even:
• Scallop/Kite
• Solve
• Scallop/Kite
• Solve
Left Fist/Right Fist
AKA:
Opposite Fist/Fist
Good Fist/Fist
AKA:
Opposite Fist/Fist
Good Fist/Fist
Odd:
• Solve
• Solve
Even:
• Opposite Paw/Paw
• Slice across the corner pieces
• Solve
• Opposite Paw/Paw
• Slice across the corner pieces
• Solve
4-2/L
Odd:
• Right 5-1/Pair
• Scallop/Kite
• Solve
• Right 5-1/Pair
• Scallop/Kite
• Solve
Even:
• Left 5-1/Pair
• Scallop/Kite
• Solve
• Left 5-1/Pair
• Scallop/Kite
• Solve
4-1-1/L
Odd:
• Scallop/Kite (by connecting 4-1-1's L's counterclockwise-most edge to L's clockwise-most edge)
• Solve
• Scallop/Kite (by connecting 4-1-1's L's counterclockwise-most edge to L's clockwise-most edge)
• Solve
Even:
• Scallop/Kite (by connecting 4-1-1's L's clockwise-most edge to L's clockwise-most edge)
• Solve
• Scallop/Kite (by connecting 4-1-1's L's clockwise-most edge to L's clockwise-most edge)
• Solve
Muffin/Fist
Odd:
• Scallop/Fist
• Left 5-1/Pair
• Scallop/Kite
• Solve
• Scallop/Fist
• Left 5-1/Pair
• Scallop/Kite
• Solve
Even:
• Scallop/Fist
• Left 5-1/Pair
• Scallop/Kite
• Solve
• Scallop/Fist
• Left 5-1/Pair
• Scallop/Kite
• Solve
Left Fist/Kite
Right Fist/Kite
Odd:
• Paw/Square
• 4-1-1/L
• Scallop/Kite(by connecting 4-1-1's L's counterclockwise-most edge to L's clockwise-most edge) • Solve
• Paw/Square
• 4-1-1/L
• Scallop/Kite(by connecting 4-1-1's L's counterclockwise-most edge to L's clockwise-most edge) • Solve
Even:
• Paw/Square
• 4-1-1/L
• Scallop/Kite(by connecting 4-1-1's L's clockwise-most edge to L's clockwise-most edge) • Solve
• Paw/Square
• 4-1-1/L
• Scallop/Kite(by connecting 4-1-1's L's clockwise-most edge to L's clockwise-most edge) • Solve
Barrel/Fist
Odd:
• Muffin/Paw
• 4-2/Pair (without moving Muffin)
• Scallop/Scallop
• Solve
• Muffin/Paw
• 4-2/Pair (without moving Muffin)
• Scallop/Scallop
• Solve
Even:
• Muffin/Paw
• 4-2/Pair (without moving Muffin)
• Shield/Shield
• Solve
• Muffin/Paw
• 4-2/Pair (without moving Muffin)
• Shield/Shield
• Solve
6/L
Odd:
• Right 5-1/Pair
• Scallop/Kite
• Solve
• Right 5-1/Pair
• Scallop/Kite
• Solve
Even:
• Left 5-1/Pair
• Scallop/Kite
• Solve
• Left 5-1/Pair
• Scallop/Kite
• Solve
Scallop/Left Paw
Scallop/Right Paw
Odd:
• 5-1/Pair (by connecting Paw's L to Scallop)
• Scallop/Kite
• Solve
• 5-1/Pair (by connecting Paw's L to Scallop)
• Scallop/Kite
• Solve
Even:
• 5-1/Pair (by connecting one of Scallop's pairs to Paw)
• Scallop/Kite
• Solve
• 5-1/Pair (by connecting one of Scallop's pairs to Paw)
• Scallop/Kite
• Solve
Scallop/Muffin
Odd:
• 5-1/Pair (by leaving Muffin's counterclockwise-most pair alone)
• Scallop/Kite
• Solve
• 5-1/Pair (by leaving Muffin's counterclockwise-most pair alone)
• Scallop/Kite
• Solve
Even:
• 5-1/Pair (by leaving Muffin's clockwise-most pair alone)
• Scallop/Kite
• Solve
• 5-1/Pair (by leaving Muffin's clockwise-most pair alone)
• Scallop/Kite
• Solve
Paw/Shield
Odd:
• Slice across the corner pieces
• 5-1/Pair
• Scallop/Kite
• Solve
• Slice across the corner pieces
• 5-1/Pair
• Scallop/Kite
• Solve
Even:
• 5-1/Pair
• Scallop/Kite
• Solve
• 5-1/Pair
• Scallop/Kite
• Solve
Left Paw/Left Fist
Right Paw/Right Fist
AKA:
Similar Paw/Fist
Bad Paw/Fist
Odd:
• 3-3/L
• Opposite Paw/Paw (by only moving 3-3)
• Solve
• 3-3/L
• Opposite Paw/Paw (by only moving 3-3)
• Solve
Even:
• 3-3/L
• Opposite Paw/Paw (by only moving L)
• Solve
• 3-3/L
• Opposite Paw/Paw (by only moving L)
• Solve
Shield/Kite
Odd:
• 3-2-1/Pair
• Shield/Square
• Solve
• 3-2-1/Pair
• Shield/Square
• Solve
Even:
• 3-1-2/Pair
• Shield/Square
• Solve
• 3-1-2/Pair
• Shield/Square
• Solve
Shield/Barrel
Odd:
• Left 4-2/Pair
• Scallop/Scallop
• Solve
• Left 4-2/Pair
• Scallop/Scallop
• Solve
Even:
• Right 4-2/Pair
• Scallop/Scallop
• Solve
• Right 4-2/Pair
• Scallop/Scallop
• Solve
5-1/L
Odd:
• 4-1-1/L
• Scallop/Kite (switch which edges of Kite's Ls are connected)
• Solve
• 4-1-1/L
• Scallop/Kite (switch which edges of Kite's Ls are connected)
• Solve
Even:
• Scallop/Kite
• Solve
• Scallop/Kite
• Solve
3-3/L
Odd:
• Opposite Paw/Paw (by connecting L to 3-3's clockwise-most pair)
• Solve
• Opposite Paw/Paw (by connecting L to 3-3's clockwise-most pair)
• Solve
Even:
• Opposite Paw/Paw (by connecting L to 3-3's counterclockwise-most pair)
• Solve
• Opposite Paw/Paw (by connecting L to 3-3's counterclockwise-most pair)
• Solve
House/L
Odd:
• Shield/Square
• Solve
• Shield/Square
• Solve
Even:
• Opposite House/L (if it's 3-2-1/L, slice to 3-1-2/L, and vice-versa)
• Shield/Square
• Solve
• Opposite House/L (if it's 3-2-1/L, slice to 3-1-2/L, and vice-versa)
• Shield/Square
• Solve
Scallop/Barrel
Odd:
• Shield/Shield
• Slice across the corner pieces
• Solve
• Shield/Shield
• Slice across the corner pieces
• Solve
Even:
• Shield/Shield
• Solve
• Shield/Shield
• Solve
Paw/Shield
Odd:
• Slice across the corner pieces
• 5-1/Pair
• Scallop/Kite
• Solve
• Slice across the corner pieces
• 5-1/Pair
• Scallop/Kite
• Solve
Even:
• 5-1/Pair
• Scallop/Kite
• Solve
• 5-1/Pair
• Scallop/Kite
• Solve
Left Paw/Right Fist
Right Paw/Left Fist
AKA:
Opposite Paw/Fist
Good Paw/Fist
Odd:
• Shield/Square
• Solve
• Shield/Square
• Solve
Even:
• 4-1-1/Pair
• Opposite Paw/Paw (without moving 4-1-1)
• Solve
• 4-1-1/Pair
• Opposite Paw/Paw (without moving 4-1-1)
• Solve
Shield/Muffin
Odd:
• 3-3/Pair
• Shield/Muffin (switch where Pair connects to 3-3's I without moving 3-3)
• Scallop/Kite
• Solve
• 3-3/Pair
• Shield/Muffin (switch where Pair connects to 3-3's I without moving 3-3)
• Scallop/Kite
• Solve
Even:
• Scallop/Kite
• Solve
• Scallop/Kite
• Solve
Scallop/Kite
Odd:
• 4-1-1/L
• Scallop/Kite (switch which edges of Kite's Ls are connected)
• Solve
• 4-1-1/L
• Scallop/Kite (switch which edges of Kite's Ls are connected)
• Solve
Even:
• Solve
• Solve
Left Fist/Left Fist
Right Fist/Right Fist
AKA:
Similar Fist/Fist
Bad Fist/Fist
Odd:
• Shield/Kite
• 3-1-2/L
• Shield/Square
• Solve
• Shield/Kite
• 3-1-2/L
• Shield/Square
• Solve
Even:
• Shield/Kite
• 3-2-1/L
• Shield/Square
• Solve
• Shield/Kite
• 3-2-1/L
• Shield/Square
• Solve
Scallop/Scallop
Odd:
• Solve
• Solve
Even:
• Slice across the corner pieces
• Solve
• Slice across the corner pieces
• Solve
Shield/Shield
Odd:
• Slice across the corner pieces
• Solve
• Slice across the corner pieces
• Solve
Even:
• Solve
• Solve
Muffin/Kite
Odd:
• Shield/Barrel
• Left 4-2/Pair
• Scallop/Scallop
• Solve
• Shield/Barrel
• Left 4-2/Pair
• Scallop/Scallop
• Solve
Even:
• Shield/Barrel
• Right 4-2/Pair
• Scallop/Scallop
• Solve
• Shield/Barrel
• Right 4-2/Pair
• Scallop/Scallop
• Solve
Muffin/Barrel
Odd:
• Shield/Kite
• 3-2-1/L
• Shield/Square
• Solve
• Shield/Kite
• 3-2-1/L
• Shield/Square
• Solve
Even:
• Shield/Kite
• 3-1-2/L
• Shield/Square
• Solve
• Shield/Kite
• 3-1-2/L
• Shield/Square
• Solve
4-1-1/I
Odd:
• Left 5-1/L
• Scallop/Kite
• Solve
• Left 5-1/L
• Scallop/Kite
• Solve
Even:
• Right 5-1/L
• Scallop/Kite
• Solve
• Right 5-1/L
• Scallop/Kite
• Solve
Left Paw/Muffin
Right Paw/Muffin
Odd:
• 4-2/Pair (by leaving Muffin's counterclockwise-most pair alone)
• Scallop/Scallop
• Solve
• 4-2/Pair (by leaving Muffin's counterclockwise-most pair alone)
• Scallop/Scallop
• Solve
Even:
• 4-2/Pair (by leaving Muffin's clockwise-most pair alone)
• Scallop/Scallop
• Solve
• 4-2/Pair (by leaving Muffin's clockwise-most pair alone)
• Scallop/Scallop
• Solve
Paw/Kite
Odd:
• 4-1-1/L
• Scallop/Kite (by connecting 4-1-1's L's counterclockwise-most edge to L's clockwise-most edge)
• Solve
• 4-1-1/L
• Scallop/Kite (by connecting 4-1-1's L's counterclockwise-most edge to L's clockwise-most edge)
• Solve
Even:
• 4-1-1/L
• Scallop/Kite (by connecting 4-1-1's L's clockwise-most edge to L's counterclockwise-most edge)
• Solve
• 4-1-1/L
• Scallop/Kite (by connecting 4-1-1's L's clockwise-most edge to L's counterclockwise-most edge)
• Solve
Left Paw/Barrel
Right Paw/Barrel
Odd:
• 5-1/Pair
• Scallop/Kite
• Solve
• 5-1/Pair
• Scallop/Kite
• Solve
Even:
• Scallop/Fist
• 5-1/Pair (without moving Fist)
• Scallop/Kite
• Solve
• Scallop/Fist
• 5-1/Pair (without moving Fist)
• Scallop/Kite
• Solve
Left 4-2/I
Right 4-2/I
Odd:
• 5-1/Pair (by slicing when 4-2's Pair is directly next to the slice)
• Scallop/Kite
• Solve
• 5-1/Pair (by slicing when 4-2's Pair is directly next to the slice)
• Scallop/Kite
• Solve
Even:
• Scallop/Kite
• Solve
• Scallop/Kite
• Solve
Right Paw/Left Paw
AKA:
Opposite Paw/Paw
Good Paw/Paw
AKA:
Opposite Paw/Paw
Good Paw/Paw
Odd:
• Slice across the corner pieces
• Solve
• Slice across the corner pieces
• Solve
Even:
• Solve
• Solve
Barrel/Kite
Odd:
• Solve
• Solve
Even:
• Opposite Fist/Fist
• Opposite Paw/Paw
• Slice across the corner pieces
• Solve
• Opposite Fist/Fist
• Opposite Paw/Paw
• Slice across the corner pieces
• Solve
Fist/Square
Odd:
• Paw/Kite
• 4-1-1/L (without moving Kite)
• Scallop/Kite (by connecting 4-1-1's L's clockwise-most edge to L's counterclockwise-most edge)
• Solve
• Paw/Kite
• 4-1-1/L (without moving Kite)
• Scallop/Kite (by connecting 4-1-1's L's clockwise-most edge to L's counterclockwise-most edge)
• Solve
Even:
• Paw/Kite
• 4-1-1/L (without moving Kite)
• Scallop/Kite (by connecting 4-1-1's L's counterclockwise-most edge to L's clockwise-most edge)
• Solve
• Paw/Kite
• 4-1-1/L (without moving Kite)
• Scallop/Kite (by connecting 4-1-1's L's counterclockwise-most edge to L's clockwise-most edge)
• Solve
6/I
Odd:
• 8/Star (make sure it is NOT Star/8)
• Scallop/Scallop (by turning 8 clockwise)
• Solve
• 8/Star (make sure it is NOT Star/8)
• Scallop/Scallop (by turning 8 clockwise)
• Solve
Even:
• 8/Star (make sure it is NOT Star/8)
• Scallop/Scallop (by turning 8 counterclockwise)
• Solve
• 8/Star (make sure it is NOT Star/8)
• Scallop/Scallop (by turning 8 counterclockwise)
• Solve
5-1/I
Odd:
• 4-2/Pair
• Shield/Shield
• Solve
• 4-2/Pair
• Shield/Shield
• Solve
Even:
• 5-1/L
• Scallop/Kite
• Solve
• 5-1/L
• Scallop/Kite
• Solve
3-3/I
Odd:
• Right 4-2/Pair
• Scallop/Scallop
• Solve
• Right 4-2/Pair
• Scallop/Scallop
• Solve
Even:
• Left 4-2/Pair
• Scallop/Scallop
• Solve
• Left 4-2/Pair
• Scallop/Scallop
• Solve
House/I
Odd:
• 4-2/Pair
• Shield/Shield
• Solve
• 4-2/Pair
• Shield/Shield
• Solve
Even:
• 4-2/Pair
• Scallop/Scallop
• Solve
• 4-2/Pair
• Scallop/Scallop
• Solve
Scallop/Square
Odd:
• Left 5-1/L
• Scallop/Kite
• Solve
• Left 5-1/L
• Scallop/Kite
• Solve
Even:
• Right 5-1/L
• Scallop/Kite
• Solve
• Right 5-1/L
• Scallop/Kite
• Solve
2-2-2/Pair
Odd:
• Shield/Shield (by slicing so that the Pair is closer clockwise relative to the remaining one of 2-2-2's Pairs)
• Solve
• Shield/Shield (by slicing so that the Pair is closer clockwise relative to the remaining one of 2-2-2's Pairs)
• Solve
Even:
• Shield/Shield (by slicing so that the Pair is closer counterclockwise relative to the remaining one of 2-2-2's Pairs)
• Solve
• Shield/Shield (by slicing so that the Pair is closer counterclockwise relative to the remaining one of 2-2-2's Pairs)
• Solve
Shield/Square
Odd:
• Solve
• Solve
Even:
• Opposite Fist/Fist
• Opposite Paw/Paw
• Slice across the corner pieces
• Solve
• Opposite Fist/Fist
• Opposite Paw/Paw
• Slice across the corner pieces
• Solve
Kite/Square
Odd:
• Right Fist/Right Fist
• Shield/Kite (by only moving one Fist by -1)
• House/L (by moving Shield by 2)
• Shield/Square
• Solve
• Right Fist/Right Fist
• Shield/Kite (by only moving one Fist by -1)
• House/L (by moving Shield by 2)
• Shield/Square
• Solve
Even:
• Left Fist/Left Fist
• Shield/Kite (by only moving one Fist by 1)
• House/L (by moving Shield by -2)
• Shield/Square
• Solve
• Left Fist/Left Fist
• Shield/Kite (by only moving one Fist by 1)
• House/L (by moving Shield by -2)
• Shield/Square
• Solve
7-1/Star
Odd:
• Move Star by ±2
• Scallop/Paw (make sure it is NOT Paw / Scallop)
• 5-1/Pair (by connecting Paw's L to Scallop)
• Scallop/Kite
• Solve
• Move Star by ±2
• Scallop/Paw (make sure it is NOT Paw / Scallop)
• 5-1/Pair (by connecting Paw's L to Scallop)
• Scallop/Kite
• Solve
Even:
• Scallop/Paw (make sure it is NOT Paw / Scallop)
• 5-1/Pair (by connecting Paw's L to Scallop)
• Scallop/Kite
• Solve
• Scallop/Paw (make sure it is NOT Paw / Scallop)
• 5-1/Pair (by connecting Paw's L to Scallop)
• Scallop/Kite
• Solve
5-3/Star
Odd:
• Scallop/Paw (make sure it is NOT Paw / Scallop)
• 5-1/Pair (by connecting Paw's L to Scallop)
• Scallop/Kite
• Solve
• Scallop/Paw (make sure it is NOT Paw / Scallop)
• 5-1/Pair (by connecting Paw's L to Scallop)
• Scallop/Kite
• Solve
Even:
• Move Star by ±2
• Scallop/Paw (make sure it is NOT Paw / Scallop)
• 5-1/Pair (by connecting Paw's L to Scallop)
• Scallop/Kite
• Solve
• Move Star by ±2
• Scallop/Paw (make sure it is NOT Paw / Scallop)
• 5-1/Pair (by connecting Paw's L to Scallop)
• Scallop/Kite
• Solve
2-2-2/L
Odd:
• 3-1-2/Pair
• 3-2-1/L
• Shield/Square
• Solve
• 3-1-2/Pair
• 3-2-1/L
• Shield/Square
• Solve
Even:
• 3-2-1/Pair
• 3-1-2/L
• Shield/Square
• Solve
• 3-2-1/Pair
• 3-1-2/L
• Shield/Square
• Solve
Barrel/Square
Odd:
• Right Fist/Right Fist
• Shield/Kite (by only moving one Fist by 2)
• House/L (by moving Shield by 2)
• Shield/Square
• Solve
• Right Fist/Right Fist
• Shield/Kite (by only moving one Fist by 2)
• House/L (by moving Shield by 2)
• Shield/Square
• Solve
Even:
• Left Fist/Left Fist
• Shield/Kite (by only moving one Fist by -2)
• House/L (by moving Shield by -2)
• Shield/Square
• Solve
• Left Fist/Left Fist
• Shield/Kite (by only moving one Fist by -2)
• House/L (by moving Shield by -2)
• Shield/Square
• Solve
Left Paw/Left Paw
Right Paw/Right Paw
AKA:
Similar Paw/Paw
Bad Paw/Paw
AKA:
Similar Paw/Paw
Bad Paw/Paw
Odd:
• 4-4/Star
• Shield/Shield
• Solve
• 4-4/Star
• Shield/Shield
• Solve
Even:
• 4-4/Star
• Move Star by ±2
• Shield/Shield
• Solve
• 4-4/Star
• Move Star by ±2
• Shield/Shield
• Solve
Left Paw/Square
Right Paw/Square
Odd:
• 4-1-1/L
• Scallop/Kite (by connecting 4-1-1's L's counterclockwise-most edge to L's clockwise-most edge)
• Solve
• 4-1-1/L
• Scallop/Kite (by connecting 4-1-1's L's counterclockwise-most edge to L's clockwise-most edge)
• Solve
Even:
• 4-1-1/L
• Scallop/Kite (by connecting 4-1-1's L's clockwise-most edge to L's counterclockwise-most edge)
• Solve
• 4-1-1/L
• Scallop/Kite (by connecting 4-1-1's L's clockwise-most edge to L's counterclockwise-most edge)
• Solve
8/Star
Odd:
• Move Star by ±2
• Scallop/Scallop (by slicing when edges are in the back)
• Solve
• Move Star by ±2
• Scallop/Scallop (by slicing when edges are in the back)
• Solve
Even:
• Scallop/Scallop (by slicing when edges are in the back)
• Solve
• Scallop/Scallop (by slicing when edges are in the back)
• Solve
6-2/Star
Odd:
• Move Star by ±2
• Opposite Paw/Paw
• Solve
• Move Star by ±2
• Opposite Paw/Paw
• Solve
Even:
• Opposite Paw/Paw
• Solve
• Opposite Paw/Paw
• Solve
Muffin/Muffin
Odd:
• Barrel/Barrel
• Scallop/Scallop
• Slice across the corner pieces
• Solve
• Barrel/Barrel
• Scallop/Scallop
• Slice across the corner pieces
• Solve
Even:
• Solve
• Solve
Muffin/Square
Odd:
• Solve
• Solve
Even:
• Opposite Fist/Fist
• Opposite Paw/Paw
• Slice across the corner pieces
• Solve
• Opposite Fist/Fist
• Opposite Paw/Paw
• Slice across the corner pieces
• Solve
Barrel/Barrel
Odd:
• Solve
• Solve
Even:
• Scallop/Scallop
• Slice across the corner pieces
• Solve
• Scallop/Scallop
• Slice across the corner pieces
• Solve
Kite/Kite
Odd:
• Solve
• Solve
Even:
• Barrel/Barrel
• Shield/Shield
• Slice across the corner pieces
• Solve
• Barrel/Barrel
• Shield/Shield
• Slice across the corner pieces
• Solve
4-4/Star
Odd:
• Shield/Shield
• Solve
• Shield/Shield
• Solve
Even:
• Move Star by ±2
• Shield/Shield
• Solve
• Move Star by ±2
• Shield/Shield
• Solve
2-2-2/I
Odd:
• Shield/Kite
• 3-1-2/L
• Shield/Square
• Solve
• Shield/Kite
• 3-1-2/L
• Shield/Square
• Solve
Even:
• Shield/Kite
• 3-2-1/L
• Shield/Square
• Solve
• Shield/Kite
• 3-2-1/L
• Shield/Square
• Solve
Square/Square
Odd:
• Kite/Kite
• Barrel/Barrel
• Shield/Shield
• Slice across the corner pieces
• Solve
• Kite/Kite
• Barrel/Barrel
• Shield/Shield
• Slice across the corner pieces
• Solve
Even:
• Done :D
• Done :D
Struggling with visualizing, remembering, or fingertricking some of these solutions?
ABCSP will eventually have algorithmic/ergonomic solutions for every case!
ABCSP will eventually have algorithmic/ergonomic solutions for every case!