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Neutron powder diffraction experiment has been performed on the quasicrystalapproximant Au$_{72}$Al$_{14}$Tb$_{14}$, a body-center-cubic crystal oficosahedral spin clusters. The long-range antiferromagnetic order was confirmedat the transition temperature $T_{\rm N} = 10.4$ K. The magnetic structureconsists of noncoplanar whirling spins on the icosahedral clusters, arrangingantiferroic-manner. A simple icosahedral spin-cluster model with uniaxialanisotropy accounts well the whirling spin order as well as the in-fieldmetamagnetic transition, indicating that the icosahedral symmetry is essential.

Whirling spin order in the quasicrystal approximant Au$_{72}$Al$_{14}$Tb$_{14}$