WK-recursive based networks well conform to a modular design due to the properties of regularity and scalability. Here, the focus is on a triplet-based WK-recursive topology and its implementation using tiled shapes in multi-core processors design is explored. To further improve the network throughput and reduce the network latency, a pair of heterogeneous topologies is proposed to separate the core communication from the memory communication. It is demonstrated that the triangular topologies are feasible to be implemented with rectangular tile floor-planning.