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Two Dimensional Display of a Three Dimensional Toroidal Interconnection Network

Technical Description:

This technology is a system that displays the performance of a three dimensional toroidal computer interconnection network on a two-dimensional workstation screen without false crossing. Any node in the physical system can be selected as the geographic center of the diagram. The two-dimensional cartesian projection of the three-dimensional toriod is created by starting at the geographic origin of the diagram and transforming its coordinates by each of the six hyperbolic transformations. This procedure produces up to six new data points. Each of the new points is then transformed by six transforms to produce more points. The process is continued until a sufficient number of points is generated to completely describe one instantiation of the toroidal network. The origin point label, i.e. the center of the diagram, is chosen by the user and defines the center of the area of the graph that is most visible. The labels corresponding to each node in the physical network are correlated with the cartesian data points by using the direction vectors from the appropriate surface, and that opposite arcs in each quadri lateral have the same direction vectors, and arcs with the same radius and center have the same direction vectors. This development illustrates the dynamic performance of a three-dimensional function as displayed over the diagram in a third dimension. A patent application was filed on June 19, 1997, Serial No. 08/879277.

Commercial Application:

Users can dynamically scroll through the diagram and select any node to be at the geographic center of the diagram. Computer architects and users would use this display to view the dynamic performance of their computer network in order to observe bottlenecks and hot spots.

Patent Status:

Issued: United States Patent Number 5,533,033 (Updated)

Reference Number: Lenn-1

If you are interested in exploring this technology further, please call 443-445-7159 or express your interest in writing to the:

National Security Agency
NSA Technology Transfer Program
9800 Savage Road, Suite 6541
Fort George G. Meade, Maryland 20755-6541


Date Posted: Jan 15, 2009 | Last Modified: Jan 15, 2009 | Last Reviewed: Jan 15 2009