Hoya is an alternative method for solving the 4x4 and 5x5 variants of the traditional Rubik's cube. It was invented by Jong-Ho Jeong (정종호) who goes by the name Hoya on the speedsolving forum. He is currently in the top 10 official rankings for both 4x4 single and average. Check out this video of him getting a 25.83 second solve with the method and peep the breakdown here.
This website is aimed at both people looking to learn more about what the Hoya method and people who already use Hoya looking for more advanced techniques. If you already know Yau, then Hoya will be a very easy transition, you just pair the cross edges after 4 centers instead of 2 centers.
- David AdamsStep one: First four centers
The first step is to solve the first four centers, leaving two adjacent centers unsolved. Unless you are color neutral, make sure one of these unsolved centers is your U color. The easiest way to do this is to solve two opposite centers (not U/D centers) and then solve your D center and one adjacent center. This step is very intuitive so I won't go into detail.
Step two: Solve the cross
Solve the cross by using Rw, U, and F moves to pair up the dedge, and then place it in the D layer. Move the D layer to align the cross so that the dedge you paired was in the DF slot and then insert the edge. This is also pretty intuitive, but some of the cases have less intuitive solutions which I listed below. Note that the U and F centers are not actually solved at this stage, they're just there to show orientation. They are not preserved by these algorithms.
One piece solved, other piece in U layer
Rw' F' Rw F' Rw' F Rw
Lw' U' Lw F' Lw' U Lw
Rw U Rw' F Rw U' Rw'
U Rw U' Rw'
U' Lw' U Lw
Both cross pieces in the U layer
U2 Rw U Rw' U2 F2
U2 Rw U Rw' U R'F R
R' F R Lw' U Lw
U Rw U' Rw' F Rw U Rw'
(R' F R) Rw U' Rw'
Rw U' Rw'2 F Rw
Rw' F Rw2 U' Rw'
Rw U Rw' F
Lw' U' Lw F'
One piece solved, other piece in the E slice
Rw U Rw'
(R U R' U') Lw' U Lw
F' U' Rw' F Rw2 U Rw'
(R' F R F') U' Lw' U Lw
Rw U' Rw' U Rw U' Rw'
Rw U Rw' F Rw U Rw'