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| Description | 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. | ||
| Date | |||
| 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 | 04:05, 6 November 2007 | | 1,280 × 1,024 (230 KB) | Ilmari Karonen | {{Information |Description=This simple, non-convex polyhedron is constructed so that none of its 12 vertices can be seen from a region around its center. This counterexample shows that placing observers at each vertex is not a solution t |
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