At very high spins an oblate-to-triaxial transition in the equilibrium
shape of hot medium mass nuclei is expected, with superdeformed major
to minor axis ratios of 2:1 and larger. To search for this shape tran
sition, we measured gamma ray production cross sections and angular di
stributions for the decay of Cu-59,Cu-63 compound nuclei populated in
the fusion of S-32+Al-27 and O-18+Sc-45 over a wide range of spin (J =
0 - 47h) and excitation energy (E = 55-130 MeV). Very broad giant di
pole resonance (GDR) strength functions are deduced at high bombarding
energy (spin), implying the existence of large deformation in the ens
emble of decaying states. Thermal shape and orientation fluctuation ca
lculations based on the rotating liquid drop model provide a good desc
ription of the GDR strength functions for all cases. The calculations
fail to reproduce the GDR strength functions at high bombarding energy
(spin) when the oblate-to-triaxial shape transition and the associate
d softness in the potential energy surface are removed, indicating the
observed broadening of the GDR strength function is due mostly to spi
n-driven deformation. Threshold bremsstrahlung production is inferred
from measured angular distribution anisotropies in O-18+Sc-45 collisio
ns at 125 and 149 MeV.