In this study, we obtained uniformly deposited polygonal shapes of the quantum dots (QDs), which could be considered as quantum dots light-emitting diodes (QLEDs) display in the near future. The different shapes of QLEDs can be useful to change an aperture ratio and display resolution that contribute to provide better luminous quality. Interestingly, for the uniform coating, most of the previous studies have been mainly focused on a circular shape. In the case of a polygonal drop, it is reported that the coffee-ring effect is accelerated due to its vertex structure and finally it produces a strong coffee-ring pattern at the vertices. Therefore, it is more difficult to obtain uniform polygonal QDs dried patterns. To breakthrough this situation, here, we propose a new method for coffee-ring-less polygonal QDs array using the interplay of multiple solutal Marangoni flows during evaporation. In this study, we performed particle image velocimetry to investigate the internal flow transitions. Based on the flow field measurement results, we analyzed the particle deposition trend. In consequence, we achieve polygonal QDs microarrays with totally suppressed coffee-ring stains and expect it plays a key role in the production of color filter in QLEDs.