The structures of icosahedral and decagonal quasicrystals are discussed from highresolution electron microscope observations of Al-Mn-Si icosahedral and Al-Mn decagonal quasicrystals. A high-resolution micrograph of the Al-Mn decagonal quasicrystal taken with the incidence parallel to the 10-fold symmetry axis shows a pattern of an aperiodic tiling with two types of rhombs, which is distinguished from the Penrose tiling with matching and inflation rules. An image of the Al-Mn-Si icosahedral quasicrystal is interpreted by the projection of the 3-dimensional Penrose tiling. In the Al-Mn-Si icosahedral quasicrystal, quench-ed phason strains and dislocations were obserbed.