Imagist/Corner Patterns

 

If white really wants the corner after black's double hane, white can play this , but her territory is small, and it's usually better to play one of the other variations.

Joseki  

My amateur analysis is that this is only even for white if white has another stone on the top left.

Joseki  

This is the avalanche joseki.

 

I'm not sure I'd call this joseki, but it's a common pattern.