1. A distributed computer network, comprising: a plurality of processors; and a network communication medium for interconnecting the plurality of processors: wherein the plurality of processors further comprise a set of nodes having a predetermined set of parameters; wherein the set of nodes are logically arranged in a regular logical geometric pattern such that each node can operate as a logical center node in a hierarchy of nodes; wherein the set of nodes includes a top node; wherein the top node is changed in reaction to an initiation of a broadcast message; wherein the regular logical geometric pattern of nodes includes the logical center node connected to the set of nodes in a logical set of concentric rings interconnected by four diametrically opposed radials; and wherein the regular logical geometric pattern includes a set of concentric rings surrounding the logical center node and a hole in the set of concentric rings and wherein a node in the set of concentric rings fills the hole by changing its logical position in the regular logical geometric pattern.