MAKE A MEME View Large Image Polyhedron with no vertex visible from center (inside panorama).png Created with Persistence of Vision This simple non-convex polyhedron is constructed so that none of its 24 vertices can be seen from a region around its center This ...
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Keywords: Polyhedron with no vertex visible from center (inside panorama).png Created with Persistence of Vision 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 180° panorama view from the center of the polyhedron 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 gaps through which the red faces 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 corner png View from the inside towards one of the corners </gallery> Polyhedra
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