Living cartilaginous fishes, or chondrichthyans, include numerous elasmobranch (sharks and rays) species but only few chimaeroid (ratfish) species. The early history of chimaeroids, or holocephalans, and the modalities of their divergence from elasmobranchs are much debated. During Carboniferous times, 358 -300 million years (Myr) ago, they underwent a remarkable evolutionary radiation, with some odd and poorly understood forms, including the enigmatic iniopterygians that were known until now from poorly informative flattened impressions. Here, we report iniopterygian skulls found preserved in 3 dimensions in Ϸ300-Myr-old concretions from Oklahoma and Kansas. The study was performed by using conventional X-ray microtomography ( Carboniferous ͉ chondrichthyans ͉ vertebrate ͉ X-ray phase imaging