What's the joke exactly? English is not my native language.
This would be something the Boomer generation grew up with, and I think maybe the previous generation too. They're still around but they've certainly faded; they used to be Lego-level popular kids toys back then. They are named after President Lincoln, but only as a marketing tactic to use some of his reputation, there's no real connection.
I would imagine even some native English speakers are learning something with this post. I haven't seen them in a while.
> there's no real connection
Funny--I always thought it was meant to be a pun on linkin', as in you're linkin' the logs together because they have those slots that fit precisely together on the ends.
... in your country I assume. I've never heard of these, but from the looks of it, they look like an American version of Playmobil or Fisher Price.