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The medial graph of any plane graph is a 4-regular plane graph. For any plane graph G, the medial graph of G and the medial graph of the dual graph of G are isomorphic. Conversely, for any 4-regular plane graph H, the only two plane graphs with medial graph H are dual to each other. [4]
Medial axis, in geometry the set of all points having more than one closest point on an object's boundary; Medial graph, another graph that represents the adjacencies between edges in the faces of a plane graph; Medial triangle, the triangle whose vertices lie at the midpoints of an enclosing triangle's sides; Polyhedra: Medial deltoidal ...
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English: The medial graph of the Herschel graph, a 4-regular planar graph that does not have a Hamiltonian decomposition. The shaded regions correspond to the vertices of the underlying Herschel graph.
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