1D Torus is same as ring interconnection. 1D Torus: it is one dimension, n nodes are connected in closed loop with each node connected to its 2 nearest neighbors communication can take place in 2 directions, +x and −x.At 2D, it is equivalent to a 2D mesh, but with extra connection at the edge nodes, which is the definition of 2D torus. At one dimension, a torus topology is equivalent to a ring interconnect network, of a shape of a circle. To better illustrate the concept, and understand what the topology means in network interconnect, we give 3 examples of parallel interconnected nodes using torus topology. Here the concept of torus is used to describe essentially the beginning and ending of a sequence of nodes are connected, like a doughnut. The animation below illustrates how a 2D torus is generated from a rectangle by connecting its two pairs of opposite edges. The following images are 1D, and 2D torus.ġD torus is a simple circle, and 2D torus has the shape of a doughnut. While this is a general definition in geometry, the topological properties of this type of shape describes the network topology in its essence. In geometry, a torus is created by revolving a circle about an axis coplanar to the circle.
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