There exists a website of the so-called "Flat Earth Society": http://www.theflatearthsociety.org/cms/
What I don't understand is whether this website is a contrived parody, or an earnest society. In the comments to this question, there is an argument whether the society is serious or not, with one side backing its claims with Wikipedia and the other side still refuting.
Does the society exist and do its members honestly believe its claims?
I wouldn't be surprised if some actually believe but we can confirm that some people do it for the fun of crafting faulty but hard to disprove "theories".
– Murphy Jun 01 '16 at 13:24