A tape having a fully wound stable state and a fully unwound stable state, configured for space applications, the intermediate states between the fully wound state and the fully unwound state comprises a single continuous portion of wound tape with a first radius of curvature greater than a threshold value and a single continuous portion of unwound tape with a second radius of curvature less than the threshold value, the value of the second radius of curvature being continuous over the unwound portio; the tape comprises a stack comprising fibrous layers extending in a longitudinal direction, the resulting stack having symmetry with respect to a longitudinal plane of its fibres to compensate for torsional deformations generated by variations in temperature.