> a radius 1 arrangement can actually include 3 CPUs, think a triangle, every machine is at
most one hop from the memory
Actually it's N+1 being N the number of dimensions you build your computer.
In the three-dimensional reality a tetrahedron (4CPUs) is radius 1, in the two-dimensional a
triangle and so on, therefore we can increase the number of CPUs in radius 1 by building
computers in higher dimensions! ;)