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An extended version of the MAGI (Mathematical Applications Group, Inc.) Combinatorial Geometry technique has been developed which is capable of realistic modeling of trees and bushes. The method has been demonstrated photographically using the SYNTHAVISION process developed by MAGI. Although the basic modeling techniques are those of the standard Combinatorial Geometry method, major extensions have been introduced to reduce the strains on computer memory and computer time that are inherent in a complex description. The method will eventually be capable of integrating the tree and bush model with models of terrain features, camouflage nets and BRL-COMGEOM descriptions of vehicles. These features of the program are in progress but not yet complete.

The combinatorial geometry allows efficient Monte Carlo radiation transport calculations of detailed three-dimensional geometries. Because regions and media are formed by combination of basic bodies such as boxes, spheres, cylinders and others, the input required of the user is both relatively simple and easily modified. The MORSE code is a multigroup neutron and gamma ray transport Monte Carlo code that may solve either neutron, gamma ray, or coupled neutron-gamma ray problems in either the forward and adjoint mode. MORSE has a wide variety of available input options, including splitting, Russian roulette, exponential transform, energy biasing, importance regions, albedo surfaces, and the scoring options available in the SAMBO analysis package. This document details the incorporation of a new version of combinatorial geometry into the MORSE code and is meant as a user's manual.

Several rather old problems in combinatorial geometry have recently been solved, mostly within the frameworks of either the theory of convex polytopes, or that of arrangements of lines or curves. Among those surveyed: Solution of Brunel's (1897) problem about the number of hexagons in 3-valent planar maps with precisely 3 digons; substantial results on Sylvester's (1867) problem about the number of collinear triplets possible with n points; solution and extension of de Rocquigny's (1897) problem about the number of points of tangency in systems of mutually non-overlappins circles; corrections and generalizations of previously published assertions about Venn diagrams (1880). Among the new results established are: Sharpenings of Wernicke's (1904) and Kotzig's (1955) results about edges with endpoints of low valence in 3- dimensional convex polyhedra, and substantial improvements of previously known results on a problem of Drdos (1962) on collinear multiplets of points.

The MAGIC computer simulation generates target description data consisting of item-by-item listings of the target's component s and airspaces encountered by a large number of parallel rays emanating from any desired attack angle. A combinatorial geometry technique, which defines the locations and shapes of the various physical regions in terms of the intersections and unions of the volumes contained in a set of simple bodies, is used to represent complex target structures. A grid cell pattern is superimposed over the surface of the target and parallel rays are fired from each grid cell. Volume II, Part II contains : Section III: Simulation Model, Subroutine QRTIC through Subroutine TESTG; and List of Symbols and Abbreviations; Section IV: Source Listing., Produced for the Joint Technical Coordinating Group for Munitions Effectiveness. See also ADA567888 and ADA567889.

The MAGIC computer simulation generates target description data consisting of item-by-item listings of the target's components and airspaces encountered by a large number of parallel rays emanating from any desired attack angle. A combinatorial geometry technique, which defines the locations and shapes of the various physical regions in terms of the intersections and unions of the volumes contained in a set of simple bodies, is used to represent complex target structures. A grid ceil pattern is superimposed over the surface of the target and parallel rays are fired from each grid cell. Volume II, Part I contains: Section I: Introduction; Section II: Mathematical Model; Section III: Simulation Model, MAIN Program through Subroutine TOR., Produced for the Joint Technical Coordinating Group for Munitions Effectiveness. See also ADA567888 and ADA567890.

The MAGIC computer simulation generates target description data consisting of item-by-item listings of the target's components and airspaces encountered by a large number of parallel rays emanating from any desired attack angle. A combinatorial geometry technique, which defines the locations and shapes of the various physical regions in terms of the intersections and unions of the volumes contained in a set of simple bodies, is used to represent complex target structures. A grid cell pattern is superimposed over the surface of the target and parallel rays are randomly located in each grid cell. This User Manual contains: (1) A detailed description of the input variables required to execute the program (2) A description of the output (3) A sample problem., Produced for the Joint Technical Coordinating Group for Munitions Effectiveness. See also ADA567889 and ADA567890.