Abstract-With increasing chip complexity, Networks-onChips (NoCs) are becoming a central platform for future onchip communications. Many regular NoC architectures have been proposed to eliminate the communication bottlenecks of traditional bus-based networks. Non-rectangular and irregular architectures have also been proposed to increase performance. However, the complexity of designing custom non-rectangular networks leads to a rapid increase in design and verification times. To alleviate the conflict between performance and efficiency, this paper proposes a novel method that efficiently constructs virtual non-rectangular topologies on a mesh network by using timeregulated models to emulate irregular patterns. Data routings on virtual hexagonal and two irregular geometries validate the proposed method. An MPEG-4 decoder is used to exemplify the proposed method for media applications. Results analysis shows the virtual topologies emulated by the proposed method can provide precise timing and energy performance.