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No, CE can not. Although there is Clement's Optimal 4x4 solver. Only works with Mac OSX or Linux though.
 
Ironically, I have a BLD question. I currently use the story method for memo, and while remembering is easy, memorizing is difficult. Most of my time is spent deciding what to associate with each piece or how to incorporate that into the story. Is there an easier way to memo to get around this, or does this just mean I need to practice more?

I hated story method. I found it difficult to create a memorable story in a short amount of time.

I currently memorize corners first, and solve them last. For this I use a long term memory method (letter pair images). Since I memorize edges last and solve them first, I use a short term memory method that is very fast (letter pair words/sounds).

http://www.speedcubing.com/chris/memorizing.html

Of course, these methods are faster if you prepare a list ahead of time and know your images/words from memory.


Can you Bld a 2x2 just like corners on a 3x3?

Of course you can.
 
Can you Bld a 2x2 just like corners on a 3x3? And if so, what do you do for parity (if there is).

Well since the whole concept of parity is switching two corners during edges, there would be none.

It depends on the method you're using. If you use Pochmann (or any method based on 2-cycles), then there is no parity. if you use a 3-cycle method, there is one because you can't solve an odd permutation with only 3-cycles.
 
are cubesmith stickers better just for their quality or are they also better for good color they have and they are easier to recognize?

I find that the colour contrast is very good, and I prefer them to default stickers that come on many cubes (especially the terrible F2 stickers! (although they did fix the orange/red similarity problem a bit))
 
Can you Bld a 2x2 just like corners on a 3x3? And if so, what do you do for parity (if there is).

Well since the whole concept of parity is switching two corners during edges, there would be none.

It depends on the method you're using. If you use Pochmann (or any method based on 2-cycles), then there is no parity. if you use a 3-cycle method, there is one because you can't solve an odd permutation with only 3-cycles.

Yes, but you can still solve the entire cube using 3 cycles. For example you do a T-perm (2 cycle) you could solve it using an A-perm (3 cycle).
 
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