Here's a start: "Here’s a website (made in a couple of minutes with a tiny piece of Wolfram Language code)". He's bragging about his coding prowess, selling his product and basking in the pleasure of writing his own name, all at once. :)
> bragging
I got that he was saying how easy it was for anyone, not just him. Not bragging.
> selling his product
To be fair it wouldn't show a lot of confidence if he never used it
> writing his own name
It's the name of the language. What do you want him to say, "a certain language who's name I will not disclose"? :)
You can speak the truth and be informative while still maintaining your dignity and respecting other people's right to objectivity. He's not doing that. He's asking you to sacrifice your objectivity because it serves him. The self-aggrandizing tone he takes is an affront to the objective simplicity of truth -- that even if he wasn't here to do the things he does, they would still be doable. He writes as though this is not true.
He doesn't just say "Rule 30 is one of those rules that has an 'organic' feel to it." He says something like "This Rule 30 that I discovered, is what I call a 'class 4' rule -- one that has an organic feel." It's like he has a compulsive inability to separate plain facts from his own brand. He has to constantly remind you that he is the god who made these things possible.