MAKE A MEME View Large Image Polyhedron with no vertex visible from center (inside corner).png This simple non-convex polyhedron is constructed so that none of its 24 vertices can be seen from a region around its center This counterexample shows that placing observers ...
View Original:Polyhedron with no vertex visible from center (inside corner).png (1280x1024)
Download: Original    Medium    Small Thumb
Courtesy of:commons.wikimedia.org More Like This
Keywords: Polyhedron with no vertex visible from center (inside corner).png This simple non-convex polyhedron is constructed so that none of its 24 vertices can be seen from a region around its center This counterexample shows that placing observers at each vertex is not a solution to the 3-dimensional generalization of the art gallery problem This image shows a view from the center of the polyhedron towards one of the corners Observe that no vertices marked with black balls are visible they're all hidden behind the yellow faces just beyond the edge of the triangular gap through which the red face can be seen Self-made using POV-Ray 3 6 for Windows 2007-11-06 Ilmari Karonen <gallery> Image Polyhedron with no vertex visible from center png Outside view showing the entire polyhedron Image Polyhedron with no vertex visible from center open png Outside view with the blue faces removed showing the construction more clearly Image Polyhedron with no vertex visible from center inside panorama png Panoramic 180 view from the inside </gallery> Polyhedra Created with Persistence of Vision
Terms of Use   Search of the Day