But are we stuck with a vertical model in our heads? Even if a cross-functional horizontal set of connections is added, it still has a top and a bottom. And we hardly ever see pyramids in real life.
We have no trouble seeing a map as a flattened out representation of reality, with centers of power and critical channels of communication radiating - waterways, roads, railroads, airways. You can drive a car to just about any gemba.
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We have no trouble seeing a ceiling or a window with a hub-and-spoke design with the center holding the structure in place.
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Why then do we so rarely see organization charts represented this way?