Method « PASCAL »

(Placement Arêtes Sommets Centres par Algorithmes Limités)

BASED ON CFOP

it's a mix of

"CFOP Fridrich Intermediate" + basic method + simple tips.

it takes place in 5 steps:

STEP 1 :

do 1 perfect cross and then place

(summits) + (the middle slice edges) at the same time: F2L

STEP 2: Orient the Edges

STEP 3: Place the Edges

STEP 4: Orient Summits

STEP 5: Place the Summits

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STEP 1

this step is essentially intuitive.

is to first make a perfect cross (Cross)

to be fast, it is interesting to be able to realize this cross,

on the lower side, or if not, on the left side of the cube.

it requires to know, by heart, the normal position of the colors of the cube.

because we must never reposition the cross during construction,

when we add one of these branches ... (it's a habit to take)

for motivated people ...

It is interesting to be able to make this cross of any color.

it's not as simple as it seems!

the location in the space, of each piece of the cube compared to the others,

becoming much more delicate in the rest of the resolution.

in short, to make the perfect cross is simple,

but it's a lot harder to do it

optimized, that is to say, quickly in a few movements.

ALWAYS less than 10 (usually 7)

after this first cross ...

the F2L (First 2 Layers)

It's about placing at the same time

the vertices around the cross and the edges of the middle slice

as for the cross, it's very intuitive.

with a little habit it becomes VERY simple.

below all possible cases.

(formulas can not be learned, they must come naturally, it's easy enough!)

in case of difficulty on the 1st STEP

there are plenty of descriptions on the net

but for me the best on this phase and all the rest of the cube

Xavier Hornet

https://www.youtube.com/watch?v=hE4V8NSAu5Y&list=PLUUecdnd1TxyJGaVD8DYn75iiKBZCWrIy&index=70

also, to progress

the videos of

Clément Cherblanc, Victor Colin, Andréa et Valentin...

END of STEP 1 - last F2L

the latter F2L can advantageously be placed with an "Edge Control".

the goal being to allow to systematically

directly the cross, half or totally oriented (orientation of the edges)

Edge Control is only interesting if it's faster than a classic F2L

followed by the orientation of the edges, essentially, in 4 + symmetrical cases.

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STEP 2 (EDGES Orientation)

the cross is either totally oriented, or half, and in this case

2 elementary and very fast algorithms.

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STEP 3 (Placing the EDGES)

the trick is to achieve this step

while preparing the next step (Summits Orientation)

GENERAL CASE 65% of cases

there are only 2 algorithms to know

the cross being oriented, it is necessary to position the cube as indicated, either :

2 edges OK at the top and 2 bad at the bottom, to be reversed

spot where are the yellow facets of the summits

there must be, AT LEAST ONE, as in the drawing

then do (73% of cases) : RU2R'U'R U'R'

if there is no Summit with a yellow facet as in the diagram.

then do (27% of cases) : y L'U2 L2UL2UL2 U2L' *

(*also the algorithm y’ R'U2RUR'UR shorter, works for 25 out of 26 cases )

we are in the final with the OK Cross, the placement step of the Edges is completed,

but also :

AT LEAST 1 SUMMIT well oriented

important advantage :

2 algorithms only to know,

which are very short and very fast, with very easy tracking

it's a difference from what's usually done,

when we first realize all orientations and then all placements,

because the algorithms are then

more numerous and less rapid,

the identification is more difficult,

and the orientation of the summits is more complex (7 cases instead of 5).

SPECIAL CASE 35% of cases

in case the 2 OK edges are positioned as shown below:

You have to do the previous algorithms twice, so it's a little longer.

BUT, there is also a powerful trick,

which consists in this case, not to place the edges immediately,

but just after Summits Orientation while learning

only 5 algorithms (F, Na, Nb, T, Z).

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STEP 4 (Orientation of the SUMMITS)

5 easy and fast cases.

although there are many others,

it's important to use these algorithms,

because they all preserve the Placement of the Edges

There may be, VERY infrequently, 1 CASE WITHOUT SUM TOP WELL ORIENTED.

do then 1 or 2

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STEP 5 (Placement of the SUMMITS)

last step, simple too.

General Cases : Special Case :

(if no Summit OK, do 1 of the 2 algorithms) (4 summits that move in X)

if no summit is well placed, do 2 times the general case

the cube is solved !

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remark on the method

it is not revolutionary, but I have not found it described anywhere.

it is simple and relatively effective.

more than "Intermediate Fridrich"

and identical to

"Fridrich Orientation in 2 steps + Placement in 1 step"

but with

a much easier tracking

and a lot less algorithms

This is the most powerful solution SIMPLE METHODS

the algorithms studied all come from FRANCOCUBE

the MEDIAN is closer to the reality of the Cube than the average,

it corresponds ~ +/- to what happens most frequently.

the number of movements is given in HTM (most used notation)

the frequencies for each case are +/- equivalent in the case of CFOP,

see about it https://www.cubeskills.com/ which shows them all.

for my method they are also equivalent, with 1 case with low probability

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