Tryss wrote:
You think of it this way [...] He thinks of it this way [...]
Thank you, Tryss, thank you!

I was trying to find a way to explain my feelings about that, but you did it in the simplest and clearest way imaginable... using arrows!

Genius!
On the other hand, now that I think about it, the sequences I discussed ended in one or more pushes, which means the 'push' can be said to be the main subject...

...Aaargh! That's so complicated!

But hey! I have an idea! I will (and did) rename my note:
The Block & Push after the 'Star Point & Pincer vs. Invasion' Joseki 
. A bit too long?

Sure, but that'll have to do.
wineandgolover wrote:
In your last diagram black also has other choices, like activating the original approach stone, either descending or jumping out. Pushing from above may be aji keshi.
Thanks for clarifying that point

I don't really know how to deal with those options that well, so it's no wonder I didn't even talk about them

In fact, I think I should make them the subject of my next post, since the initial settings would be identical. Anyway, I'll look into it. So thanks again.
Uberdude wrote:
On a rather more interesting note, there are other choices to the good shape defence of 4 above: if white has support on the side and a ladder then he can play more aggressively. I found this idea from studying a few pro games (e.g. Gu Li iirc), you should be able to find them with a pattern search. I used it in this OGS game to good effect and made some comments about it.
Thank you for the tip, Uberdude

I did my research on
BadukMovies and found only 4 games on which the atari was played, other than
the one from Gokifu you mentioned in your review.
To summarize, it seems that if White has some help around the marked intersections, although making shape at 'a' still seems safer and more common, she can attack the cutting black stone directly if she wants to, with an atari at 2 combined with 'b' or 'c' next.
- Click Here To Show Diagram Code
[go]$$ White counter-attacks
$$ -----------------------
$$ . . . . . . . . . . . |
$$ . . . . . . . . . . . |
$$ . . . . . X . X X X . |
$$ . , . . . X O O O X . |
$$ . . . . X O . . O O . |
$$ . . . . X O . a X . . |
$$ . . . c O 1 2 . . . . |
$$ . . . . b 3 . . O . . |
$$ . . . . . . . . . . . |
$$ . , . . . . . T . . . |
$$ . . . . . . . T T . . |
$$ . . . . . . . T . . . |
$$ . . . . . . . . . . . |[/go]
I thought maybe I should just post extracts from those games as examples, beginning with the one you mentioned, on which the result was the most spectacular!
- Click Here To Show Diagram Code
[go]$$ (B) Zhong Wenjing 5p vs. (W) Hu Yaoyu 8p Date: 2010-11-16 Result: W+R
$$ -----------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . 0 9 . . . . . . . . . . . . . |
$$ | . X X X 8 X . . . . . . . X . . . . . |
$$ | . X O O O X 6 7 . , . . . . . X . . . |
$$ | . O O . . O X . . . . . . . . . . . . |
$$ | . . X . . O X . . . . . . . . . O . . |
$$ | . . . 2 O X O . . . . . . . . . . . . |
$$ | . . O . 1 X W . . . . . . . . . X O . |
$$ | . . . . . . 4 . . . . . . . . . . . . |
$$ | . . . 5 . 3 . . . , . . . . . , O . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . X O . . . . . . . . . . . . . . . |
$$ | . O O O . . . . . . . . . . . . . . . |
$$ | . X X X X . . . . . . . . . . . . . . |
$$ | . X O O . . X X X , . . . . . , X . . |
$$ | . X . . . O O O . O . . . . X . . . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$-----------------[/go]
Though the following had also quite an explosive one...
- Click Here To Show Diagram Code
[go]$$ (B) Su Shengfang 2p vs. (W) Song Ronghui 5p Date: 2012-10-30 Result: W+R
$$ -----------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . X X O . . . . . . . . . . O O O . |
$$ | . . X O O X . O . . . . . O . X O X . |
$$ | . . X O . . 2 . . . . O . . . X X . . |
$$ | . . . O . . O 1 . . . . . . . . . . . |
$$ | . . X X O O X X . 5 . . . . . X . . . |
$$ | . . 7 6 X X O W 3 . . . . . . . . . . |
$$ | . . 9 8 0 . . . . . . . . . . . . . . |
$$ | . . . . . . 4 . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . , . . . |
$$ | . O . . . . . . . . . . . . . . X . . |
$$ | . X O O . . . . . . . . . . . . . . . |
$$ | . X X . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . X . . . . . . . . . . . X . . . |
$$ | . . . X X . O . . O . . . . . . . . . |
$$ | . X X O X . . . . . . . O . . X . . . |
$$ | . . O O O O . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$-----------------[/go]
Here, I thought that Black's shape was quite bold

, but there was no collateral damage in the end...
- Click Here To Show Diagram Code
[go]$$W (B) Li Zhe 6d vs. (W) Jin Siyoung 3d Date: 2008-09-05 Result: B+0.5
$$ -----------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . X . . . . . . . . . X . . . . . |
$$ | . . O . . X . . X . . . . . . . X . . |
$$ | . . . O . . . . . , . . . . . , . . . |
$$ | . . . . . X . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . . O . . |
$$ | . . . . . O . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . O . . |
$$ | . . . . . . 8 . . . . . . . . X O . . |
$$ | . . . O . . 6 7 . , . . . . . , . . . |
$$ | . . . . . . 4 5 . . . . . . . . . . . |
$$ | . . O . 2 X 1 . 9 . . . . . . . . . . |
$$ | . . . 3 O X O . . . . . . . . . . . . |
$$ | . . X . . O X . . . . . . . . O O . . |
$$ | . O O . . O X . . . . . . . . O X . . |
$$ | . X O O O X . . . , . . . . . , X . . |
$$ | . X X X . X . . . . . . . X . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$-----------------[/go]
In this one, Black decided to attack the cutting stones in a loose way instead of pushing at 'a', and later on White tried shenanigans by combining the descent at 'b' with the attachment at 'c'...
- Click Here To Show Diagram Code
[go]$$ (B) Wang Xi 9d vs. (W) Tan Xiao Date:2013-01-30 Result: W+R
$$ -----------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . X X . . . . . . . . . . . . . . . . |
$$ | . O X O X . . . . . . . . O . O O O . |
$$ | . O O X X . . . . , . . . O X X X O . |
$$ | . . O O X O . . . . 2 . O X . . X X . |
$$ | . . X O O . . . . . . . O X . . O b . |
$$ | . . . . . . . . . . . 1 X O X . . . . |
$$ | . . O . . . . . . . . . a O . . X . . |
$$ | . O X X . . . . . . . . 3 . . . . . . |
$$ | . . . , . . . . . , . . . . c X . . . |
$$ | . . X . . . . . . . O . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . X O . . . . . X . . O . . . X . . . |
$$ | . O . . . . . . . . O O X . . X O . . |
$$ | . . . O . . . . . X X O . . . O X . . |
$$ | . . O , . O . X . X O . O . . , X . . |
$$ | . . . . X O . O X . O . X . . X . . . |
$$ | . . . . . O . X . . . X . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$-----------------[/go]
In this last game, however, the marked stone being one space further away than in the preceding one, the same loose attack at 1 and 3 resulted in an immediate running fight starting with the turn at 4 and the shoulder hit at 6...
- Click Here To Show Diagram Code
[go]$$W (B) Meng Tailing 6d vs. (W) Hu Yaoyu 8d Date: 2013-05-29 Result: B+R
$$ -----------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . X X X . X . . . . . . . X . . . . . |
$$ | . X O O O X . 2 . , . . . . . X . . . |
$$ | . O O . . O X . . . . . . . . . . . . |
$$ | . . X . . O X . . . . . . . . . O . . |
$$ | . . . 5 O X O 1 . . . . . . . . . . . |
$$ | . . O . 4 X . . . . . . . . . . X O . |
$$ | . . 0 . . . 3 . . . . . . . . . . . . |
$$ | . . . , 6 8 . . . , . . . . . , O . . |
$$ | . . . Q 7 . . . . . . . . . . . . . . |
$$ | . O . . . . . . . . . . . . . . . . . |
$$ | . . X . 9 . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ | . X O X X X . . . , . . . . . , X . . |
$$ | . O O O O . O . . . . . . . X . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$-----------------[/go]
Anyway, I think I have now a better idea of what to expect next time someone plays the Block & Push against me, depending on the context, so thank you Uberdude for you feedback

.
Next, I shall probably look into the more common options wineandgolover hinted at...