Many dishwasher manufacturers are in search of innovative solutions for issues such as washing performance, energy efficiency, water consumption and noise. The most critical place to make these improvements is in the spray arm design. With a good spray arm design, it can be reduced water consumption, energy consumption, and noise. In this study, we focus on a new spray arm design (studied by Arçelik) that increases efficiency. Also, we have obtained a geometrical interpretation of the new spray arm motion. We investigate the path followed by the new spray arm in $3-$dimensional Minkowski space and its projection on a plane. Finally, we present its three-dimensional and two-dimensional images.