Faal maa maŋmaŋa (1,280 × 1,024 pixels, file size: 115 KB, MIME type: image/png)
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BuɣisibuPolyhedron with no vertex visible from center.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. The blue faces are also not visible from the center. This polyhedron is topologically equivalent to the rhombicuboctahedron.
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Other versions
Outside view with the blue faces removed, showing the construction more clearly.
View from the inside facing one of the corners.
Panoramic 180 view from the inside.
Vector version with cross-section
POV-Ray source
This is the source code from which the image above is rendered. The permission given above applies to this source code as well.
{{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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