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The fine lamellar fault structure of primary MC carbide particles in the heat-resistant Fe-Cr-Ni-C alloy of the HP series (0.45C-25Cr-35Ni) in the cast condition has been revealed using transmission electron microscopy. The lamellar fault structure is regarded as an inheritance of the initial melt structure. A one-to-one correspondence between the crystal structures of MC, MC, MC and MC carbides and constructions of the projective 10 Desargues configuration and its subconfigurations is shown. Mutual mapping between 10 Desargues subconfigurations determines transformations of the ten-vertex equal-edged triangulated clusters appearing as building units of these carbides.