You are the guest at my site.
If you want to solve the cube using only 40 (say: fourty) moves – you are
at the right site. I am talking about the number of moves on average, of
course!
The essential advantage of my system is that you can use it in speedcubing!
In speedcubing you use about 47 moves – this lets you solve the cube in
15! (estimated) seconds (on average, of course). Below I present my method.
Probably you think you will need to learn thousands of formulas... No!
That is not necessary! In my system you need only 300 (say: three hundred)
formulas! Not even 301. Exactly 300! Is this impossible?
Most speedcubists who use layer by layer method solve F2L (first two
layers) in two steps and then solve the last layer (two more steps). They are
convinced that the only way to decrease the number of moves (except of
improving solving F2L) is to solve last layer in one step (1212 formulas).
Speedcubists know what I am talking about. They would like to inculcate these
formulas but it is practically impossible!
Let us suppose F2L without one edge and one corner are solved.
Let us consider most popular (professional) system:

edge 
corner 
F2L last element to solve 
last F2L edge to solve 
last F2L corner to solve 
orientation 
last four edges orientation 
last four corners orientation 
permutation 
last four edges permutation 
last four corners permutation 
First step (not shown in the picture above) is: F2L without one edge and
one corner.
Yellow means second step: F2L last edge and corner.
Green means third step: orientation of last four edges and corners.
Blue means fourth step: permutation of last four edges and corners.
Another professional system (used by me before) looks as follows:

edge 
corner 
F2L last element to solve 
last F2L edge to solve 
last F2L corner to solve 
orientation 
last four edges orientation 
last four corners orientation 
permutation 
last four edges permutation 
last four corners permutation 
First step (not shown in the picture above) is: F2L without one edge and
one corner – no change.
Yellow means second step: F2L last edge and corner – no change.
Green means third step: orientation and permutation of last four edges.
Blue means fourth step: orientation and permutation of last four corners.
Now look how the new system looks from this point of view:

edge 
corner 
F2L last element to solve 
last F2L edge to solve 
last F2L corner to solve 
orientation 
last four edges orientation 
last four corners orientation 
permutation 
last four edges permutation 
last four corners permutation 
First step (not shown in the picture above) is: F2L without one edge and
one corner – no change.
Yellow means second step: F2L last edge and corner + last four edges
orientation – a big change.
Green means third step: last four edges permutation + orientation and
permutation of last four corners – also a big change.
Blue... there is no fourth step!
I was thinking very intensively about my new system for a long time –
about one year (2001/2002). Many systems, which I was trying to modify or
create, were blind alleys. This system is a quintessence of my searches and
experiences. This system, I think, is a golden mean between:
 minimizing the number of moves,
 speedcubing and
 acceptable for human brain number of formulas.
The table below shows the number of moves required for solving
separate steps of my system:

average number of moves 
First step 
18,5 
Second step 
7,45 
Third step 
12,08 
SubTotal 
38 
additional moves between steps 
2 
Total 
40 
The table below shows the number of moves in speedcubing and times
required for solving separate steps of my system:

number of moves 
time [seconds] 
Cross 
6 
2 
3 x pair (corner & edge) 
3 x 6,5 
3 x 2 
Second step 
7,45 
3 
Third step 
12,08 
4 
Total 

15 
The table below shows the number of formulas required for solving
separate steps of my system:

number of formulas 
number of formulas 
number of formulas 
First step 
none 
none 
none 
Second step 
125 (minus 1 solved) 
158 (minus 1 solved) 
306 (minus 1 solved) 
Third step 
177 (minus 1 solved) 
270 (minus 1 solved) 
493 (minus 1 solved) 
Total 
300 


For comfort I prepared 158 formulas (with reverse versions) of the
second step.
Below are concretes:
step 1 – F2L without one edge and
one corner
step 2 – F2L last edge and
corner and last four edges orientation
step 3 – last four edges
permutation and last four corners orientation/permutation
If you see any mistakes or “dislogicals” in this system, please write to
me! Also mistakes in my english language. I am only a human.
I use this system in practice. I would be very glad, if YOU! tried to put my
system into practice, too. I wonder your experience with it. Good luck!
Zbigniew Zborowski
Poland Europe
email address: zbigniew_zborowski@poczta.onet.pl
www address: http://www.zborowski.republika.pl/