A high-angle annular dark field scanning transmission electron microscopy study of the intermetallic compound Al₇₄Cr₁₅Fe₁₁ reveals a quasiperiodic structure significantly differing from the ones known so far. In contrast to the common quasi-unit-cells based on Gummelt decagons, the present structure is related to a covering formed by Lück decagons, which can also be described by a Hexagon-Bow-Tie tiling.