The part has a porous structure including a stack of plates (1, 3, 5) in a plane, where each plate comprises a set of openings (11, 15). The openings of the plates are shifted laterally. Each opening of the plate is allowed to create three-dimensional porosity structure. Two close plates are separated by a network of spacers i.e. discrete studs. The plates are identical and are shifted angularly with regard to the network of spacers. The thickness of each of the plates lies between 50 and 2000 micrometer i.e. in particular between 100 and 1000 micrometer. An independent claim is also included for a method for manufacturing a ceramic or ceramic containing part.