In a letter to Nature (February, 2011), Xunlai Yuan and col− laborators recorded carbon compression fossils from black shales of the Lantian Formation (Ediacaran), southern Anhui Province, South China. The new fossils, described under five morphological types (Types A to E), exhibit de− grees of morphological differentiation suggesting that they were multicellular eukaryotes. Some of the Lantian macro− fossils were interpreted as algae, but others are of unknown affinities. For reasons noted in this discussion, Type A fossils attracted our particular attention, and we suggest an alter− native interpretation of their affinities. According to our view, some of them (at least those with three faces and no globose holdfast at their base) may represent conulariid cni− darians or close medusozoan relatives. The undistorted or− ganism probably was a three−sided cone in life. We believe that our suggested alternative interpretations of the anat− omy and affinities of the fossils in question can be useful in guiding future research on the oldest currently known fossil assemblage of multicellular organisms.