This is an interesting way to chalk--- Making it 4 sides that you can use to chalk with I'm guessing?
This way as it looks like gives you more duration and life span of a chalk to use which is nice, for me I always end up with a hollow one circle, and maybe half way inside I feel that it's not chalking right for me.
But the way you chalk it looks that you can't chalk the whole tip, you need to turn it around to cover everything, am I right? if you dont do that maybe you would miscue occesionally i'm thinking, correct me if i'm wrong.
You are spot on, it's kind of a swipe with the chalking hand, while a half rotation of the cue in the cue hand. Two swipes and two rotations, the entire tip is covered.
I didn't intentionally try to do the four corners thing, the sang lee brand of chalk just takes to it like that. With magic chalk or Kamui, the same chalking style, it turns our more of the traditional concave that many of the other chalks here appear to have.
I noticed many players have a thinking chalking style, like bustamante, he will sit there contemplating a shot and gently swipe away at the cue. Others have an aggressive chalking then stop chalking then stop style like Corey Duel. I have always liked (and tried to emulate) the snooker approach with a couple of small application swipes (Ronnie O) or a few twists of the cue into the chalk (Darren A) and right into the pocket-ready to go.