If I was to say to him at the end of a date 'Well, do you like me? Will you call me or shall I call you - when?'
I agree, however that is off-topic to the thread topic.
Chasing a man is very unfeminine.
That's your opinion and this point is certainly debatable. Many men find a woman comfortable with her feminity enough to express her desires a "feminine" quality.
Then go away at the end of the date and think about each other. I give my indication during the date as to whether I like him or not, he picks up on these signs and hints, I pick up on his signs and hints, then he has my number if he wants to get to know me better!
The "hints" often don't work. Or people typically use "hints" as a weak method of non-communication. Good communication skills are key in a successful relationship. Not good "hinting" skills.
four days is about right
That's crazy. If I have something pertinent to say, I'm going to say it, not wait four days. I don't see the strategy here.
Time and time again women are disappointed and despondent that budding relationships barely fail to leave the ground because they push the man into going out with them, or invite him to have sex to gain affection, languages become confused and in that sort of relationship the men usually behave badly.
I could make irrelevant arguments here too: Man is disappointed because he misinterprets a woman's fuzzy signals; doesn't know a woman he is getting involved with is seeing other guys, possibly having sex with them; if he shows sexual interest that's all he's interested in; if he doesn't show sexual interest he isn't masculine; then gets involved with a woman who views sex as some sort of "reward" to "give" to a guy instead of a natural relationship progression.
To steer this thread back on topic, here's the thread topic again:
After the first meeting/date, when is it considered appropriate to communicate with them again. Even just to say thanks, but I just wasn't feeling the love....or maybe even the opposite.
As soon as it is relevant to relate that sentiment.