  In the present Letter, we investigate a spherical hohlraums with octahedral
six laser entrance holes (LEHs) for inertial fusion, which has advantages over
the conventional hohlraums of cylindrical geometry since it contains only one
cone at each LEH and the problems caused by the beam overlap and crossed-beam
energy transfer can be eliminated and the backscattering can be reduced. In
particular, our study indicates that at a specific hohlraum-to-capsule radius
ratio, i.e., the golden ratio, the flux asymmetry on capsule can be
significantly reduced. From our study, this golden octahedral hohlraum has
robust high symmetry, low plasma filling and low backscattering. Though the
golden octahedral hohlraum needs $30\%$ more laser energy than traditional
cylinder for producing the ignition radiation pulse of 300 eV, it is worth for
a robust high symmetry and low backscattering. The proposed octahedral hohlraum
is also flexible and can be applicable to diverse inertial fusion drive
approaches. As an application, we design an ignition octahedral hohlraum for
the hybrid drive.
