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In page Abstract polytope:

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F, G are said to be incident if either F = G or F < G or G < F[citation needed]. This usage of "incidence" also occurs in finite geometry, although it differs from traditional geometry and some other areas of mathematics. It is understood in terms of the nodes and vertices in the graph of the Hasse diagram of the polytope, not the geometric drawing of the polytope. For example, in the square ABCD, edges AB and BC are not abstractly incident as can be seen in the Hasse diagram above (although they are both incident, in the geometric sense, with vertex B in the geometric drawing).