A heat exchanger between a first fluid and a second fluid, notably a turbomachine heat exchanger, the heat exchanger comprising: a reference direction; and a tubular mesh network defining an inner passage for the first fluid, the mesh network comprising a multitude of meshes (103, 104, 105, 106, 107, 108, 109.1, 109.2, 109.3), each of the meshes (103, 104, 105, 106, 107, 108, 109.1, 109.2, 109.3) being formed, successively according to the reference direction, of at least two curvilinear branches, called anterior branches (103.1), a junction (103.2) where the two anterior branches (103.1) meet, and at least two curvilinear branches, called posterior branches (103.3), separating from the junction (103.2); characterized in that the multitude of meshes (103, 104, 105, 106, 107, 108, 109.1, 109.2, 109.3) comprises at least a first mesh (103, 104, 105, 106, 107, 108, 109.1, 109.2, 109.3), at least one anterior branch (103.1) of the first mesh (103, 104, 105, 106, 107, 108, 109.1, 109.2, 109.3) being connected to at least one posterior branch (103.3) of a second mesh (103, 104, 105, 106, 107, 108, 109.1, 109.2, 109.3) and at least another anterior branch (103.1) of the first mesh (103, 104, 105, 106, 107, 108, 109.1, 109.2, 109.3) being connected to at least one posterior branch (103.3) of a third mesh (103, 104, 105, 106, 107, 108, 109.1, 109.2, 109.3), distinct from the second mesh (103, 104, 105, 106, 107, 108, 109.1, 109.2, 109.3), the exchanger comprising a body provided with a lateral wall, the inner face of said wall partially defining a cavity in which the second fluid circulates, the lateral wall of the exchanger body having a substantially cylindrical shape, the axis of the substantially cylindrical shape being aligned with the reference direction, the exchanger being parallel flow and/or counterflow. a reference direction; and a tubular mesh network defining an inner passage for the first fluid, the mesh network comprising a multitude of meshes (103, 104, 105, 106, 107, 108, 109.1, 109.2, 109.3), each of the meshes (103, 104, 105, 106, 107, 108, 109.1, 109.2, 109.3) being formed, successively according to the reference direction, of at least two curvilinear branches, called anterior branches (103.1), a junction (103.2) where the two anterior branches (103.1) meet, and at least two curvilinear branches, called posterior branches (103.3), separating from the junction (103.2); characterized in that the multitude of meshes (103, 104, 105, 106, 107, 108, 109.1, 109.2, 109.3) comprises at least a first mesh (103, 104, 105, 106, 107, 108, 109.1, 109.2, 109.3), at least one anterior branch (103.1) of the first mesh (103, 104, 105, 106, 107, 108, 109.1, 109.2, 109.3) being connected to at least one posterior branch (103.3) of a second mesh (103, 104, 105, 106, 107, 108, 109.1, 109.2, 109.3) and at least another anterior branch (103.1) of the first mesh (103, 104, 105, 106, 107, 108, 109.1, 109.2, 109.3) being connected to at least one posterior branch (103.3) of a third mesh (103, 104, 105, 106, 107, 108, 109.1, 109.2, 109.3), distinct from the second mesh (103, 104, 105, 106, 107, 108, 109.1, 109.2, 109.3), the exchanger comprising a body provided with a lateral wall, the inner face of said wall partially defining a cavity in which the second fluid circulates, the lateral wall of the exchanger body having a substantially cylindrical shape, the axis of the substantially cylindrical shape being aligned with the reference direction, the exchanger being parallel flow and/or counterflow.