Abstract: A land mine comprises a mine body having at least a ground facing portion with a casing formed of a surface of revolution and having a multiplicity of projectile splinters arranged therearound in a pattern of enveloping tangents, the normals of which point each splinter to a definite target area to be covered. The mine includes an explosive in the casing which is effective upon explosion to catapult the splinters downwardly in a substantially conical distribution each at a predetermined angle depending on the mass of the splinters relative to the mass of the explosive and also depending on the angle of impact of the detonation produced by the explosion on the individual splinters.