It is a feature of a porous body comprising a three-dimensional network of node points joined to one another by struts, and a void volume present between the struts, that the struts have an average length of ≥200 μm to ≤50 mm, the struts have an average thickness of ≥100 μm to ≤5 mm, and that the porous body has a compression hardness (40% compression, DIN EN ISO 3386-1: 2010-09) in at least one spatial direction of ≥10 to ≤100 kPa. The porous body according to the invention combines the advantages of a conventional mattress or cushion with ventilatability which results from its porous structure and is not achievable in conventional foams. The invention further relates to a method of producing such a porous body and to an apparatus comprising said body for supporting and/or bearing a person.