Neutron scattering experiments have been performed on the Zn-Mg-Ho ico
sahedral quasicrystal using powder and single-crystalline samples. In
contrast to a previous Letter [Charrier ct al., Phys. Rev. Lett. 78, 4
637 (1997)], the magnetic long-range order could not be detected in th
e icosahedral quasicrystal. It instead exhibits highly anisotropic dif
fuse scattering, which appears as satellite ridges of intense nuclear
Bragg reflections, running parallel to the fivefold axis. The result s
uggests that quasi-five-dimensional spin correlations develop on a six
-dimensional hypercubic lattice.