I see two basic flat earth models:
1) Cosmas Indicopleustes
2) Samuel Rowbotham
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Most models presented on this forum are variations of Rowbotham's model. Aside from his belief in the UA theory, perhaps Tom Bishop seems to adhere as close to Rowbotham's ideas as anybody.
Rowbotham's model forms the basis for both most of the finite and infinite plane advocates. Charles Johnson believed the earth to be an infinte plane; so John Davis and Charles Johnson use the same model - or at least very similar.
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As far as I am aware, the only persons advocating the model of Cosmas Indicopleustes are Clovis and myself. Possibly Ski would agree with this ancient model if he knew more about it, but I have not questioned him in detail about this. Perhaps Ski already essentially accepts Jerusalem as the centre of the earth. I reckon that if he accepted the existence of the arctic mountain around which the sun and moon orbit, then that would be enough to classify him in our group. Ski is perhaps slightly more jewish influenced than Clovis and I, but the ancient jews believed those two things as well. The Cosmas Indicopleustes model is definitely that of a finite world. Basically, I view the earth (strictly speaking) as the afroeurasian landmass which is surounded by a great Ocean. Australia, north and south america, and greenland are all large islands in this ocean which is itself surrounded by an outer earth which forms a perimeter to this world and upon which stand the four walls of heaven.
Levee seems to include elements from almost everything ancient and modern into his own unique system. He does believe in the arctic mountain which is common to all the ancient models.