Dia. 1
Dia. 1. The wrong direction
With the marked stone in place, blocking from the outside with 1 is the wrong direction.

Dia. 2
Dia. 2. Good for White
After White lives in the corner with the moves to 8, Black must defend against a cut at 'a' with 9. White can now jump to 10, neutralizing Black's thick position while reinforcing his position on the right side.

Dia. 3
Dia. 3. The two-step hane tesuji.
Blocking with Black 2 is the correct move. After White 3, Black hanes with 4, then hanes again with 6. This is the two-step hane (nidan-bane) tesuji. It is an aggressive and powerful tesuji, but it is one that kyu-level players tend to avoid because it looks risky, as it leaves behind two cutting points.

Dia. 4
Dia. 4. Overconcentrated.
The ataris of White 7 and 9 are the usual continuation. Black then ataries with 10 and captures two stones with 12.

The result is that White's stones are overconcentrated — the marked stone is too close to the ponnuki — and there is still a gap between the marked stone and the two white stones below. After all his moves on the right side, White has not significantly reinforced his territory there. On the other hand, Black has secured a lot of territory in the corner. Perhaps the marked black stone might be better placed one or two spaces to the left, but this is a minor point.

Dia. 5
Dia. 5. Bad for Black
Instead of the two-step hane of 6 in Dia. 3, Black must not extend to 6 as in this diagram. White continues with 7 and the marked stone is on the perfect point to stop Black's advance along the right side. With the corner now under his control, this is a good result for White.

Dia. 6
Dia. 6. An AI Joseki
The two-step hane tesuji in Dias. 3 and 4 also arises in a number of direct-3–3 josekis like the one shown here. The difference between Dia. 3 and the one here is that there is no stone at 'a'. This position arose in a game between Ke Jie (white) and Yang Dingxin in the16th Changqi Cup in June 2019.

The reader might note that the position in the upper right corner also arose from an early 3–3-point invasion. Instead of playing at 1, Black might have continued with a two-step hane at 'b'.

Nowadays direct-3–3 josekis have become quite common in professional go. There is a large body of josekis that has been developed around them. In Opening and Middle Game Go Problems for Kyu Players, a 30-page survey of these josekis can be found in the appendix. .