Multiple Triaxial SD Bands in $^163, 164$Lu Studied with EUROBALL

High-spin states in 163,164Lu have been populated in the 139La(29Si,xn) reaction and their decay has been studied using the EUROBALL γ-ray spectrometer array. In 164Lu eight new superdeformed (SD) bands have been found. In 163Lu the previously known SD band is extended to lower and higher spins and its deacy to the normal-deformed states has been established. In addition, a new SD band is identified. Calculations with the Ultimate Cranker code predict large triaxiality (γ≈±20°) for all these bands.