A tire having two beads and a carcass reinforcement with a main part wrapped within each bead around a bead wire core to form a turned-back portion. Each bead has an additional reinforcement and a filler profiled element extending the bead wire core radially outwards. This filler profiled element has, in any meridian plane, a three exterior sides including a radially inner side, axially inner side and axially outer side, with the axially inner and outer sides converging at a radially outermost point, and is formed of a stack in the radial direction of at least three polymer materials in contact along a contact surface that intersects any meridian plane along a meridian line.