Great video, Jakub!
Some of those watching the video may be surprised at the names given by Jakub, as it looks they should be called "tip away from you" and "tip towards you." The reason is that there is a delay between when you start the movement with your muscles and the top starts to swing. So the tip-away from you is really started with the tip-to-the-right, and viceversa.
I believe I was the first one to do multiple continuous around the world, with tricks like world hitchhiker and boleadoras. I start with the tip in the direction of the swing, what Jakub calls tip pointing left. But I only start as late as Jakub if I am going to swing it very fast.
If 12 o'clock is in front and 9 o'clock to the left, I start swinging to the left somewhere in that quadrant: the faster I swing, the closer to 9 o'clock, the slower the closer to 12 o'clock. It works very well: you don't need any wrap around the tip. BUT you have to be confident and keep the speed and tension on the string: if you doubt and slow down along the arc you will lose the top!
Note that you can also do the circle in the opposite direction: just start in the 9 to 6 o'clock quadrant.
For left handed players the top will be precessing in the opposite direction, so the opposite quadrants are used.
The general rule for me is that I start in the quadrant before the precession points the tip in the direction of the swing, the closer to that direction the faster I go. But some people, as Jakub shows, do it exactly backwards!