File:Polyhedron with no vertex visible from center (open).png
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| Description | 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. | ||
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| Source | Self-made using POV-Ray 3.6 for Windows. | ||
| Author | Ilmari Karonen | ||
| Permission (Reusing this file) |
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 03:58, 6 November 2007 | | 1,280 × 1,024 (162 KB) | Ilmari Karonen | {{Information |Description=This simple, non-convex polyhedron is constructed so that none of its 12 vertices, marked with black balls, can be seen from a region around its center. This counterexample shows that placing observers at each |
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