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The six-dimensional mesh/torus topography is described by Fujitsu:
"The design of the six-dimensional mesh/torus topology in the K Computer means there are many communication routes between neighbouring CPUs. This enables the execution of data communications between CPUs via the shortest route and over the shortest period of time and ensures the network can fully draw out this world top-class CPU computational power."
(Credit: National Supercomputing Center, Tianjin)
Here is China's top supercomputer, which was built in 2010 and is located at the National Supercomputing Center in Tianjin. China placed second to the US, with 62 supercomputers on the Top 500 list.
What can you do with a supercomputer? This graphic shows five areas where the K Computer is expected to toil.
Via ZDNet US