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4x4x4: No Odd Parity 3x3x3 Reduction?

Joined
Sep 12, 2006
Messages
396
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20
Location
Harrington, Delaware
Thread starter #1
So, I wanted to share this with you.

I picked up speedcubing on the 4x4x4 the end of the last year. And I found some interesting things. I hope it is of interest to you all.

Did you know that you don't need RBULURURUFRFLBR or Lucas Parity to solve the 4x4x4? Like ever.

There is a much better way to resolve the cube.

So Parity is a state in which we cannot solve the cube with 3x3x3 restrictions. Unfortunately, we have methods that keep us that certain state as we solve the cube.

Here is why, with Yau, the normal 3x3x3 reduction, we solve the Cross and all 6 centers. Then we use some F2L slots to pair up the last 8 edges. Then transition to F2L, OLL, PLL. What if you get odd parity (OLL parity) or even parity (PLL parity)? Well, like a typical solver, well we have an alg for that.

What if you could recognize it sooner and solve it faster?

Likewise, for Even Parity. You just blast through an algorithm on top of your 3x3x3 method. I think that we try to compensate for our inability to recognize parity with "really fast algs" on the chance that we do have parity.

And we always focus on doing everything right and quickly. But is that really the way?

So my question to you before I proceed is, what if you could skip Odd parity?

Would that technique be of interest to you?
 
Joined
Sep 26, 2017
Messages
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#3
There is a method to avoid Parity already by tracing dedges and solving accordingly but I am intrigued as to what your method does
 
Joined
Sep 12, 2006
Messages
396
Likes
20
Location
Harrington, Delaware
Thread starter #4
Haha, farthest from the truth. The solutions are normally 7-8 moves And it is really easy to recognize and execute.

-First 2 Blocks (F2B)
-Next 2 Centers (N2C about 10 moves)
-LSEwings (Pairing + Parity Resolution about 20 moves)
-CmLL
-4a + Last 2 Centers (L2C)
-4bc-extended (some extra special solutions to 4c)
 
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