The nuclei Nd-138 and Nd-139 have been studied at very high spins via the C
a-48+Zr-94 reaction. Several new rotational bands were observed, four in Nd
-138 and two in Nd-139. Th, J((2)) moments of inertia calculated from the o
bserved gamma-ray energies are very small and almost constant, indicating t
hat these bands are triaxial. Cranked Nilsson-Strutinsky calculations repro
duce the general behavior of the bands, supporting this interpretation and
suggesting an approximately constant gamma value of similar to +35 degrees
over a large spin range up to the highest observed spins. These bands and a
few similar bands in other nuclei of the N approximate to 80 region are a
unique example of almost undisturbed triaxial bands.