So, as we mentioned, Judit put on her muslim-compatible clothes (scarf and stuff, not to catch a cold) and goto Iran.
The crossing didn't take long, it was an hour, maximum. Meanwhile, we changed a bunch of money, because Iran is a financially closed country. This means that it's not possible to pay or with a foreign credit card or get money from an ATM. It's possible and allowed to change, but if you run out of your money it's not possible to get more. No Western Union either. When PayPal (an online quasi-bank) noticed I reside in Iran they blocked my account and they sent me an email that they'd only re-activate it when I left the country and I can prove it too. And all this in their terms®ulations stuff or what.
Anyway, back to the flow of events: At the border we had some trouble with the taxis. At the first time they wanted to cheat us (asking for $15 (USD) to the close town Maku), but after realizing we're not absolutely stupid they gave us the normal ($2) price. But as I was still unfamiliar with the Iranian currency so I could calculate quite slowly, I decided this was still too much and we rather walked down from the border to the closest village to catch a bus from there or something. Well, this turned out to be a 2km walk and in the last few hundred meters it started raining too, so in the end we paid the same money ($2) for a cab to take us to Maku, where there are hotels and restaurants so we could stay there for the night. It turned out that that $2 was nothing for the 15km ride.
We spent the night in Maku, we made friends with two guys from Czech Republic - Laos and Pepe - and we discovered Iranian ice cream which is really tasty and cause no diarrhea. And the juices which are all over Iran, made of fresh fruits and they are awesome :) We happily drank the first one: