Metal and/or ceramic microlattice structure, comprising an alternation of first layers and of second layers in a first direction of the structure; each first layer comprising a plurality of first tubes (2.1) each extending in a plane parallel to a first reference plane defined by said first direction of the structure as well as by a second direction orthogonal to the first; each second layer comprising a plurality of second tubes (2.2) each extending in a plane parallel to a second reference plane defined by said first direction of the structure as well as by a third direction orthogonal to the first and distinct from the second; each first tube (2.1) defining, in said second direction, an alternation of first and second loops (4a, 4b) open, respectively, in a first heading of the first direction, and in a second heading of the first direction opposite to the first; each second tube (2.2) defining, in said third direction, an alternation of third and fourth loops (4c, 4d) open, respectively, in the first heading of the first direction, and in the second heading of the first direction; the first and second layers being interlocking with each other in such a way that through each first open loop of each first tube (2.1) of any given first layer, one of the fourth open loops of one of the second tubes (2.2) of the second layer directly consecutive to said first given layer in the second heading of the first direction passes, the two loops in question (4a, 4d) being rigidly connected to each other at their respective loop bottoms in such a way as to form a first microlattice node (8.1); and in such a way that through each second open loop of each first tube (2.1) of said first given layer, one of the third open loops of one of the second tubes (2.2) of the second layer directly consecutive to said first given layer in the first heading of the first direction passes, the two loops in question (4b, 4c) being rigidly connected to each other at their respective loop bottoms in such a way as to form a second microlattice node (8.2). each first layer comprising a plurality of first tubes (2.1) each extending in a plane parallel to a first reference plane defined by said first direction of the structure as well as by a second direction orthogonal to the first; each second layer comprising a plurality of second tubes (2.2) each extending in a plane parallel to a second reference plane defined by said first direction of the structure as well as by a third direction orthogonal to the first and distinct from the second; each first tube (2.1) defining, in said second direction, an alternation of first and second loops (4a, 4b) open, respectively, in a first heading of the first direction, and in a second heading of the first direction opposite to the first; each second tube (2.2) defining, in said third direction, an alternation of third and fourth loops (4c, 4d) open, respectively, in the first heading of the first direction, and in the second heading of the first direction; the first and second layers being interlocking with each other in such a way that through each first open loop of each first tube (2.1) of any given first layer, one of the fourth open loops of one of the second tubes (2.2) of the second layer directly consecutive to said first given layer in the second heading of the first direction passes, the two loops in question (4a, 4d) being rigidly connected to each other at their respective loop bottoms in such a way as to form a first microlattice node (8.1); and in such a way that through each second open loop of each first tube (2.1) of said first given layer, one of the third open loops of one of the second tubes (2.2) of the second layer directly consecutive to said first given layer in the first heading of the first direction passes, the two loops in question (4b, 4c) being rigidly connected to each other at their respective loop bottoms in such a way as to form a second microlattice node (8.2).