Speedsolving Square-One

[pjk]

WHats tips do you have to do this? Thanks

 

[grsbmd]

1. Learn the shapes. I still don't know many and could be way faster if I did.
2. Use Lars's method.
3. Learn lots of edge perm algs. There are 120 all together.
4. Twist accurately and smoothly.

 

[mmwfung]

Including all mirrors there are 170 shapes (not including the mirrors in the "e-layer" there are 90). Further there are 100 edge permutations. The numbers are include the solved cases.

Michael Fung

 

[grsbmd]

Why would you not include the solved case for each layer? You would still have to learn algs for those.

EDIT: Nevermind. I forgot a symmetry and miscounted.
EDIT #2: No, I was actually right. There should be 120 cases.

 

[Cubefactor]

The following is an email response I sent to someone who asked about the square-1 a while back. Hopefully all the algs and instructions are correct because I continue to forward it to people. Have fun
----------------------------------------------------------
Hi xxxxxxxx,

It's ironic that Dan sent you my way, because a ton of
the algs I use are on his page:

http://homepage.ntlworld.com/dan_j_harris/...1/square-1.html

You should be able to intuitively make a star shape (6
corners) on one side, and that leaves you to learn
only 5 cases for turning the sq1 into a cube. It's
not the most efficient way to go, but it beats
learning all 90 cube cases.

A quick brief on the notation on Dan's page. 1= 30
degrees (an edge piece), 2= 60 degrees (a corner
piece)

/(x,y)/

/=turn the right half
x=U face
y=D face

Ok, so in terms of the solution,

1. Turn into a cube

2. Seperate U&D corners (all the white corners on one
face, all the green on the opposite) You should be
able to work this out intuitively, but if not let me
know and I'll go in further detail.

3. Seperate U&D edges (After you do this, it should be
all green on one face, and all white on the opposite
face.)

Alg for this Step(3):
(0,-1)/(-3,0)/(4,1)/(-4,-1)/(-3,0)/(6,0)/(0,1)

What it does:
Seperates DF&UB edges. You might have to repeat this
a few times depending on how many edges need to be
seperated.

4. Permute Corners

Alg for this step(4):
/(3,-3)/(3,0)/(-3,0)/(0,-3)/(-3,0)/

What it does:
Switches UFR<->UFL corners

5. Observe edge parity. (if there is one) Here are
the possibilities:

a. No Parity (move on to step 6) Standard edge cycles
on each face

b. Double Parity- Parity error on each face
fix: (1,0)/(-1,5)/(1,-5)/

c. Evil Parity- Parity error on one face
fix: (3,0)/(3,3)/(0,3)/(5,-1)/(4,-2)/(0,-4)/(2,-4)/
(4,-2)/(1,0)/(-3,-3)/

6. Solve edges (You only need one alg to start here)

Alg 1, 0)/( 0,-3)/(-1, 0)/( 3, 0)/( 1, 0)/( 0, 3)/
(-1, 0)/(-3, 0)/

What it does: Cycles UR->UB->UL edges counter
clockwise

That is what I started out with. This is what I use
now:

1. Cube shape
2. Seperate Corners (1 look)
3. Seperate Edges (1 look)
4. Solve Corners (1 look)
5. Fix Parity (0-1 look)
6. Solve edges (2 looks)

All the algs you need are on Dan's site. (Except all
the algs to solve U&D corners in 1 look. Those can be found here: http://www.cubezone.be/square1step4.html)

Sorry about the insanely long post...If you have any
questions, let me know!

Happy Cubing,
-Richard

 

[CraigBouchard]

Hey, I remember being e-mailed that...hmmmmmmmmmm hahaha...

 

[mmwfung]

I am sure there are 99/100 edge permutations. See http://www.math.leidenuniv.nl/~mfung/speed.../algs/Square-1/ and then "Edge permutation square-1.doc". If you think there are 120 then give me one edge permutation which this file don't have (except from the solved case). Very hard problem because there are not any cases anymore .

Michael Fung

 

[grsbmd]

RRRR...You're right. I second guessed myself cause my math didn't add up, but I made a mistake in the math.

But I guess that's 21 more cases I don't have to learn.