MAKE A MEME View Large Image Polyhedron with no vertex visible from center (open).png This simple non-convex polyhedron is constructed so that none of its 24 vertices marked with black balls can be seen from a region around its center This counterexample shows that ...
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Keywords: Polyhedron with no vertex visible from center (open).png This simple non-convex polyhedron is constructed so that none of its 24 vertices marked with black balls 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 version omits the faces that cannot be seen from the center making the construction easier to see 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 of the full polyhedron including the faces not visible from the center Image Polyhedron with no vertex visible from center inside corner png View from the inside facing one of the corners Image Polyhedron with no vertex visible from center inside panorama png Panoramic 180 view from the inside </gallery> Created_with_Persistence_of_Vision Polyhedra
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