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In page Regular octahedron:

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Six vertices of the octahedral graph can be partitioned into three independent sets, which contain different pairs of two opposite vertices. Hence, it is a complete tripartite graph, designated as K 2 , 2 , 2 {\displaystyle K_{2,2,2}} .[4] It is an example of a Turán graph T 6 , 3 {\displaystyle T_{6,3}} .[5] It has three boxicities that represent abstract structures' graph by the intersection of axis-parallel boxes in the minimum dimensional Euclidean space.[citation needed]