That all sound plausible to me. Greek, but plausible :)
My 'proof' is somewhat erm, simpler. Working with Sam's phone box analogy from above, for there to be a hole in the middle of the phone boxes would imply an area of space between them that isn't "closest" to any of them. Which just doesn't make any sense.
In reply to Re^5: Is it possible to get a 'hole' in a Veronoi diagram?
by BrowserUk
in thread Better maps with Math::Geometry::Voronoi, and a Challenge for Math Monks
by samtregar
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