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Double Cone Graph


DoubleConeGraph3D

The n-double cone graph is the name given in the work to the graphs that geometrically correspond to a double cone obtained by connecting all vertices of two C_n cycle graphs (each corresponding with one nappe) with a single additional point. The n-double cone graph therefore has 2n+1 vertices.

The 3-double cone graph is isomorphic to the (2,4)-windmill graph.

DoubleConeGraph

Double cone graphs are unit-distance and planar, as illustrated in first and third, respectively, sets of embeddings above.


See also

Cone Graph, Dipyramidal Graph, Double Cone

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Cite this as:

Weisstein, Eric W. "Double Cone Graph." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/DoubleConeGraph.html

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