[no subject]

*To*: mathgroup at yoda.physics.unc.edu*From*: "Arthur Ogawa" <ogawa at orion.arc.nasa.gov>*Date*: Mon, 25 May 92 04:23:22 -0700

You write: > I have encountered what seems to be a bug when using > Polygon in 3D-graphics. I am running Mathematica 2.03 > Enhanced on a Mac IIci. > The problem is that if a polygon is viewed "edge-on", > Mathematica gives a Postscript error message instead > of rendering the graphic. Welcome to the club. I've encountered the same problem in Mathematica and reported it to Wolfram himself, and to Tom Wickham-Jones, who has to do with the implementation of Mathematica's graphics capabilities. Neither has replied to my note. Perhaps by publicising this problem on math-group, wri will be made to feel pressure from users... You've hit upon a way of making Mathematica generate internal PostScript code that it cannot render, simply by viewing an Edge from an edge-on viewpoint. The basic problem in Mathematica is that an Edge is not presented in anything like a realistic way to the renderer. In particluar, an Edge has the same apparent thickness regardless of the angle of view with respect to the Polygon that the Edge belongs to. In addition, the thickness of an Edge is also independent of the distance of the viewpoint to the edge. Let's say you create a very large planar figure consisting of Polygons, and view it in such a way as to create a "horizon" of sorts at the far edge. Because of both the abovementioned features, the "horizon" will appear black, which is, of course, ludicrously wrong. Lacking a fix to this limitation from WRI, one can redefine Polygon in terms that present it as a collection of filled regions (Edge-less Polygons), one of which would be the interior, and the remainder constituting the edges. Such an approach would then be rendered accurately, but would suffer from the disadvantage of occupying considerably more space in Mathematica's memory. In an article in the Mathematica Journal, Vol 1, Issue 1, p32-33, Cameron Smith and Paul Abbott detail code that could be modified to accomplish this workaround. Arthur Ogawa Internet: ogawa at orion.arc.nasa.gov Ph: 1/415/691-1126 TeX consultant AppleLink: ogawa FAX:1/415/962-1969 STEPS Project 1101 San Antonio Rd. #413, MOUNTAIN VIEW, CA 94043-1002