PolygonIntersections

PolygonIntersections is an option for Graphics3D and funtions that return Graphics3D objects.

When the setting PolygonIntersections→False is used the graphics are rendered as a collection of non-intersecting triangles. In the next cell I make a Graphics3D object with non-default setting (PolygonIntersections→False).

I can't inderstand why but my attempt to display the graphics in the next cell doesn't work when using Mathematica 4.1 under Windows 98.

On my computer the above graphics can be displayed if I nest use of Show, and specify (PlotRange->All).

The next cell shows us how Mathematica divided the above polygons into non-intersecting triangles.

Created by Mathematica (May 16, 2004)