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Moritz Geometry Editor


Tabular Surface of Revolution — TABSF


2 TABSF BodiesThe tabular surface of revolutions (TABSF) is a composite solid body constructed from line segments that are revolved about an axis resulting in segments of cylinders and cones. The TABSF axis must be parallel to the X, Y, or Z coordinate axis. The distance along the axis from the TABSF origin is Z. The distance from the axis to a point is R. The body is defined as a collection of (Z, R) pairs together with the coordinates of the origin and the direction of the axis. The origin is a reference point only—the body does not pass through the origin (unless it is coincident with a point. The line defined by the points can be single valued in Z (such as in the yellow body in the above figure) or double valued (blue body in the figure). More than 2 line segments at 1 Z value are not allowed. For a toroidal topology like the blue body, the first and last points should be the same.

The first and last (Z, R) pairs need not have R = 0. For 3D display, Moritz offers the option of using the points as is or of introducing a disk to close the body as if there were additional points with R = 0 and the same Z at each end. For TABSFs with a hole in the middle, such as the blue body in the above figure, the points should be used as is. For a simple nonreentrant body, one may wish to close off the ends. The S (sphere-like) keyword on the TABSF command closes the ends; the C (cylinder-like) does not. The TABSF dialog has a Close Ends choice. Defining the first and/or last points with R = 0 accomplishes the same thing.




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