A part for a centrifugal breather for an air/oil mixture of a turbomachine is configured to rotate about a longitudinal axis of symmetry. The breather forms an annular chamber for centrifugal separation of said mixture. The chamber includes mesh structure that takes up at least one space in a duct which closes communication between an axial inlet and an internal radial outlet. The mesh structure is formed by the spatial repetition of the material or of the space of a single pattern produced by the interconnection of simple shapes. The pattern is designed such that the spaces between the materials paths passing through the materials in at least three dimensions of space forming a trihedron.