A weaving loom including a mechanism drawing-in threads, for insertion of picks, and for formation of a weaving shed, so as to render possible formation of a continuous angle or corner by a thread during weaving. The loom preferably also includes a vertical offset system, so that it is possible to weave a three-dimensional surfacic structure, the threads of which are continuous between the faces and at the level of the edges. The loom can be configured particularly for manufacture of continuous tridedral corners that are used as reinforcements for composite structures.