A high-performance interconnect topology system named Equality is introduced in this paper for general purpose applications including supercomputing, data center, cloud service, and industrial cluster solutions. Equality is designed based on chordal ring networks. It advances previous discussed chordal ring topologies by a set of systematic linking strategies and routing rules. The Equality topology can be used construct low diameter networks with reasonably low router radices. Equality interconnects are highly symmetric and hence cabling rule and routing logic are simple. Compared with other networks, the Equality topology is flexible in total number of routers, where any even number is allowed. This paper introduces the evaluation of Equality performance using open-source BookSim 2.0 package. The benchmarks of ten traffic models for systems constructed using 36- and 48-port switch are presented to assess the network performance, compared with the very popular 2-tier fat-tree structure. The results show that the Equality networks are resilient in the scenario similar to practical computation.