Construction system for a module of a building

A system for constructing a module of a building, including:

• A plurality of core construction elements (1) which each include, in section, a cross including two main arms (6) of equal length, the main arms (6) intersecting at mid-length at a right angle, each core construction element (1) having a plane of symmetry about the axes of each main arm (6),
• A plurality of surrounding construction elements (2) of the core construction elements (1), each surrounding element (2) being composed of four partial surrounding parts (2A, 2B, 2A′, 2B′) which are assembled around a core element (1),
• The partial surrounding parts (2A, 2B, 2A′, 2B′) each have a section essentially of an isosceles right triangle including a long side (10) and two inclined sides (11) which form a right angle, the four partial surrounding parts (2A, 2B, 2A′, 2B′) once assembled are disposed with their long side (10) outwards and the inclined sides (11) terminating in the right angle inwards towards the center of the cross of a core element (1), thus forming a square surrounding the cross of the core construction element (1),
• Characterized in that
• the main arms (6) of the cross of each core construction core element (1) terminate at their ends by transversal parts (7) whose length is less than that of the main arms (6), and
• the triangular partial surrounding parts (2A, 2B, 2A′, 2B′) of the surrounding construction elements (2) include openings (12) and/or cutouts (13) that surround the principal arms and the transversal parts (7) of the cross of the core element (1).