The present article describes the three-dimensional arrangement of collagen fibrils in dermal plates of different species of Ostraciidae. These dermal plates or 'scutes' are transformed scales, which have a polygonal shape and form a rigid tiling. They are natural composites, associating a fibrous network with a mineral deposit lying at two different levels of the scute, the 'ceiling' and the 'floor', plus a set of similarly mineralized walls joining the two levels. The three-dimensional structure of the collagen network can be compared to that of 'plywood': fibrils align parallel within superposed layers of uniform thickness, and their direction changes from layer to layer. In the dermal plate, two types of plywood have been evidenced: (1) one lying between the two mineralized plates, where the orientation of fibrils rotates continuously, and (2) one under the lower plate, with thick layers of fibrils, each showing a constant orientation, but abrupt angular changes are observed at the transition from one layer to the following one. In oblique sections, both types of plywood reveal large series of arced patterns, testifying to a twisted arrangement of collagen fibrils, analogous to the arrangement of molecules or polymers in cholesteric liquid crystals. The network is reinforced by some collagen fibrils running unidirectionally and almost normally to the lamellate structure. Moreover in the overall organization of the scute, these plywood systems form a set of nested boxes. This original architecture is compared to the arrangement of the collagenous network previously described in most fish scales and in other extracellular matrices.