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In this paper, one of a series devoted to the classification, the modulispaces and the discovery of new surfaces of general type with geometric genusp_g= 0, we generalize a classical construction method due to Burniat (andrevisited by Inoue), constructing surfaces with K^2 = 3 and a with a newfundamental group of order 16.

Burniat-type surfaces and a new family of surfaces with p_g = 0, K^2 = 3