# The search for a 21f, an idea for some candidates

Submitted by WarrenSmith on Sat, 05/20/2006 - 18:59.

There is a unique Rubik cube position maximally far from Start *PROVIDED*

you only look at edges and ignore corners - it was found by J.Bryan and

is all edges flipped in place, composed with a mirror reflection of the whole

cube.

That suggests, taking this one edge position and exploring all possible configurations

(there are about 3 million) of the 8 corners to get 3 million cube positions.

If you are seeking a cube configuration with 21f or more distance to start,

these 3 million candidates seem tolerably likely to include a winner.

Because 3 million is a lot of searching, you might try a cheaper approach like just

searching for local distance-increasing changes within the 3 million...

Warren Smith

you only look at edges and ignore corners - it was found by J.Bryan and

is all edges flipped in place, composed with a mirror reflection of the whole

cube.

That suggests, taking this one edge position and exploring all possible configurations

(there are about 3 million) of the 8 corners to get 3 million cube positions.

If you are seeking a cube configuration with 21f or more distance to start,

these 3 million candidates seem tolerably likely to include a winner.

Because 3 million is a lot of searching, you might try a cheaper approach like just

searching for local distance-increasing changes within the 3 million...

Warren Smith