File:Polyhedron with no vertex visible from center (inside panorama).jpg
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Captions
Captions
Spherical panorama from a region near the middle of a non-convex polyhedron of which its 24 vertices cannot be seen from the region.
Summary
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English: 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 360° 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. |
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| Author | Ilmari Karonen |
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| 360° | View in 360° panoramic viewer
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
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| current | 18:19, 7 December 2021 | | 2,048 × 1,024 (64 KB) | Cmglee (talk | contribs) | Uploaded a work by Ilmari Karonen from {{source thumb|polyhedron_with_no_vertex_visible_from_center_(inside_panorama).png}} with UploadWizard |
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