The generic name is derived from the Múzquiz district and a Greek πτέρυξ, pteryx, "wing".
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Subsequently it was studied by a combined team of the University of Karlsruhe and the University of Heidelberg, in this financially supported by the Volkswagen company.
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In the nineties José Martínez Vásquez, a worker at the chalk quarry of El Rosario, uncovered a skeleton of a pterosaur.