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We propose for inertial fusion a spherical hohlraum with 6 LEHs of octahedral symmetry at a specific hohlraum-to- capsule radius ratio of 5.14,which has robust high symmetry during the capsule implosion.We call this specific radius ratio as golden radius ratio,and call the 6 LEH spherical hohlraum with this ratio as the golden octahedral hohlraum.