Multiple glazing with variable liquid-crystal-induced scattering (100 to 500), with an edge face (1a to 8'c), the multiple glazing having: - a first glass sheet with a face referred to as the first inner face and another face referred to as the first outer face and an edge referred to as the first edge (1a to 1d), - a second glass sheet with a face referred to as the second inner face and another face referred to as the second outer face and an edge referred to as the second edge (1'a to 1'd), the first and second glass sheets (1, 1') being sealed by a sealing gasket, - first and second electrodes (3, 3') respectively on the first and second inner faces (11, 11'), in the form of transparent electrically conductive layers, which first and second electrodes are provided respectively with first and second electricity supply zones (31,31'), - and, on the first and second electrodes (3, 3'), a layer of liquid crystals alternating reversibly between a transparent state and a translucent state by application of an alternating electric field, which layer has a thickness between 15 and 60 μm inclusive of these values and incorporates spacers, - the first glass sheet protruding from one side of the second edge (1'a) by a first side of the first inner face, referred to as the first protruding side, and comprising the first electricity supply zone, characterized in that it comprises: - electrical cabling (9, 9') comprising a first cable with a first cabling input in the first electricity supply zone, electrical cabling with a second cabling input in the second electricity supply zone, said first and second cabling inputs (90, 90') being sheathless cabling zones (9, 9'), - a first electrically insulating polymer material for electrically insulating the first cabling input, and optionally a second electrically insulating polymer material for electrically insulating the second cabling input, - a third glass sheet laminated by the second outer face with the second glass sheet by a first lamination interlayer made of a first transparent polymer interlayer material, the third glass sheet protruding from the second glass sheet via one side of its inner face, referred to as the first covering side, covering the first electrically insulating material. - a first glass sheet with a face referred to as the first inner face and another face referred to as the first outer face and an edge referred to as the first edge (1a to 1d), - a second glass sheet with a face referred to as the second inner face and another face referred to as the second outer face and an edge referred to as the second edge (1'a to 1'd), the first and second glass sheets (1, 1') being sealed by a sealing gasket, - first and second electrodes (3, 3') respectively on the first and second inner faces (11, 11'), in the form of transparent electrically conductive layers, which first and second electrodes are provided respectively with first and second electricity supply zones (31,31'), - and, on the first and second electrodes (3, 3'), a layer of liquid crystals alternating reversibly between a transparent state and a translucent state by application of an alternating electric field, which layer has a thickness between 15 and 60 μm inclusive of these values and incorporates spacers, - the first glass sheet protruding from one side of the second edge (1'a) by a first side of the first inner face, referred to as the first protruding side, and comprising the first electricity supply zone, - electrical cabling (9, 9') comprising a first cable with a first cabling input in the first electricity supply zone, electrical cabling with a second cabling input in the second electricity supply zone, said first and second cabling inputs (90, 90') being sheathless cabling zones (9, 9'), - a first electrically insulating polymer material for electrically insulating the first cabling input, and optionally a second electrically insulating polymer material for electrically insulating the second cabling input, - a third glass sheet laminated by the second outer face with the second glass sheet by a first lamination interlayer made of a first transparent polymer interlayer material, the third glass sheet protruding from the second glass sheet via one side of its inner face, referred to as the first covering side, covering the first electrically insulating material.